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Editor and Publisher: Ron Yannone
189 Ash Street #2
Nashua, NH 03060
Administrator: Jeff Ward
13155 Wimberly Square
San Diego, CA 92128
Internet Officer: Kevin Langdon
P.O. Box 795
Berkeley, CA 94701
Founder: Ronald K. Hoeflin
P.O. Box 539
New York, NY 10101
no·e·sis – Greek Þ understanding – to perceive. Psychology Þ the cognitive process
The Mega Society was founded in 1982 and has been documented in the GUINNESS BOOK OF WORLD RECORDS during the 1980s as the most exclusive society. Mega means million and denotes the one-in-a-million status of its members. Presently, the only viable adult-level admissions test is the Titan Test, developed by its founder, Ron Hoeflin – where 43/48 correct answers corresponds to the minimum accepted IQ level of 176. See www.megasociety.org Since its GUINNESS “distinction” in the 1980’s, the Mega Society with its 99.9999 percentile member status, remains “the most elite ultra-high IQ Society.”
Editorial Introduction to NOESIS Issues #174/175
– October/November 2004
Greetings avid readers to the combined 9th and 10th issue of Noesis (174 and #175) for October/November 2005. In this special “combined set of holidays” issue everyone will find something of interest for themselves and the special people in their lives!
We open this issue with Halloween Memories by the editor – and although this fun day has passed by, its magical nostalgia has not. Here you’ll learn the art of pumpkin carving, among other things.
We then move to Mathematical Quickies from the famous math problem developer, Charles W. Trigg. We select some of the more challenging problems Charles has devised over the years.
As we move toward the next big American holiday (Thanksgiving), we celebrate it with the article A Time for Thanksgiving. In this section we share recipes for an Apple Bavarian Torte and Cream of Pumpkin Soup!
Everyone liked the insightful quotes by Joe Griffith presented in the past publications. We continue with three areas of interest to all types of business – via the article Quotes on R&D (Research and Development), Risk, and Technology.
A short item by Albert Einstein will inspire our readers titled Three Rules of Work.
Myrna Reid Grant offers encouraging Poems for a Good and Happy Life.
Next, a real treat for our readers of Noesis, is a Star Trek original TV series quiz. The exercise was developed by the editor after about 40 hours of viewing the 1st season, taking copious notes, and typing the article titled Start Trek Quiz – 1st Season (1966-1967). This is a rare article that captures dialog in the first year’s shows that are not readily available elsewhere – a real collector’s treat!
I saw a book for “75 percent off” in price at the Barnes & Nobel bookstore a couple months ago titled: “The Art of Spelling – The Madness and the Method,” by Marilyn vos Savant. Publisher is W. W. Norton & Company, 2000, ISBN 0-393-04903-5. In the back inside jacket cover of the book we read:
Marilyn vos Savant is listed in The Guinness Book of Records Hall of Fame for her record IQ score: 228. Her “Ask Marilyn” column appears weekly in Parade, the Sunday magazine for 341 newspapers, with a circulation of 37 million and a readership of 81 million: the largest in the world.
After reading Marilyn’s accolades, a fantastic idea came to mind. Read about it in the article Pending Inquiry to Marilyn vos Savant on Publishing the Titan Test in Parade Magazine.
I want to thank Mega Society member Chris Cole for loading many of this year’s Noesis journal issues onto the Mega Society website (www.MegaSociety.org) – and for enhancing the method to monitor the number of visitors to the site. Early October was the last time I worked on this final, combined Noesis journal issue for October [#174] / November [#175] until November 14th – after I returned from Germany. My desire is to release the combined issue the week of Thanksgiving. The Mega Society “hit counter” has improvements, via Chris Cole,
“Now that there are more Noesis issues online, the search engines are picking up the site and we’re getting more visitors. I had to move it to a new server to handle the load. One of the features of the new server is that it has better reporting tools.” (10-1-04) by Chris Cole
In early October when I went into the “hit counter” the bar graph read as follows:
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We next continue with an article we developed – titled German Made Simple – Let’s Test It!
Schmidt Company of Nuremberg, Germany is among the leading bakers and distributors of Lebkuchen – gingerbread in simple words. Schmidt distributes their baked products via many companies around the world. We share Schmidt products via material in the web site by USA mail-order-house German Food Specialties. My 15-piece “Festive Chest” order arrived November 12th – and I plan to share its contents when I go to New Jersey for the Christmas holiday. See the article Lebkuchen by Schmidt, Nuremberg, Germany.
The editor next shares the way he got into his present physical regimen via the insightful and encouraging article Those Green Sweat Pants.
Mega Society member Chris Cole sent a heads-up on the article Google Entices Job-Searchers with Math Puzzle.
The editor next shares some terrific mathematical relationships for the mathematical constant, π, via a new book by Posamentier and Lehmann titled “π.“ Besides many mathematical facts on π, you’ll learn a song about π and a mnemonic to remember the decimal places of π via a German language development.
Fred Metcalf shares really humorous jokes via the article Gentle Jokes. For those who like Christmas, you’ll enjoy several of Fred’s quips centered around this joyful holiday!
Next, the editor shares a short article on herbs – Nature’s Medicine Chest. The editor purchased this index-card herb set at a health seminar in the early 1990s.
Dr. Paavo Airola shares an article whose information can be incorporated by our readers to select healthy foods – Acid-Alkaline Foods.
An invaluable book by David Niven is used to share with our readers of Noesis and those they know – Some Secrets of Successful People. The editor selects a handful of unique statistics Dave presents in his hard-cover book.
As the editor was preparing for his 3+ week trip to Germany (Dresden and Berlin) in October, he shared a wishful prayer with the readers in the article titled May We Foster the Healing Process prior to leaving for Germany.
The editor had a rich, simple childhood and Christmas has remained a landmark ingredient each year for him. He shares this via the colorful article The Wonders of Christmas.
Food surrounds our lives – especially the holidays. Folks will like a few recipes and corporate contacts to obtain great foods for the holidays and in the New Year – via articles like – Berliner Pfannkuchen.
The television program CSI – Las Vegas shows us the art and skill of logical deduction and lateral thinking to reconstruct complex crime scenes. We continue with this topic via the article Lateral Thinking Puzzles – presented three times – puzzles, clues and then answers. Readers may desire to have a friend read the progressive clues (per puzzle) to maximize the amount of genuine thought you expend on these. The authors of the material used for this article are Ed Harshman, Des MacHale and Paul Sloane.
Brainstorming company offers insightful ways to “brainstorm” – via Welcome to the Random Word Tutorial. An interesting, effective way, to brainstorm is presented. General Electric Company developed training courses in “brainstorming” as an integral part of its creative thinking program during the 1950s and 1960s.
Mind Tools company has something to offer in lateral thinking as well. See the article titled Lateral Thinking.
The editor continues with White Christmas – Part II as this joyful season is coming fast upon us.
Some of the best quotes by famous people have been captured over the past years by Reader’s Digest – and the editor shares a handful in Reader’s Digest Quotable Quotes.
The
editor was a member of a SPEBSQSA barbershop chorus in Utica, NY during the
early 1980s. Here he shares the first song he heard, learned, and remembers to
this day – A House with Love in It.
The first (of two) technical papers the editor presented at the Military Sensing Symposium in Dresden was distributed in Noesis early this year. The abstract for the second paper is presented in this issue titled: Enhancing The Commander’s Decision Aid To Meet Future Combat System Platform Protection System Requirements.
Next we hear from Dai Takeuchi in Japan. Dai is a member of several hi-IQ societies – including the Prometheus Society and provides us the article written in German – titled Leben aIs Sinn von Sein. The editor was in Kyoto, Japan in 1985 to present a technical paper at a Controls Conference.
The editor next shares a short article titled Stellar-IQ People and then Linda Gottfredson shares an article Schools and the g Factor.
Integer sequences surround us – and here we share an invaluable resource available both as a book and computer online asset by Neil J. A. Sloane and folks – The Encyclopedia of Integer Sequences.
We received some “Pony Express” mail and “voicemail” messages – by Dr. Ron Hoeflin and Paul Maxim – and we share this correspondence with our readers. Dr. Hoeflin shares about a new book “The Know-It-All” where several pages the author A. J. Jacobs discuss Jacobs’ meeting with Dr. Hoeflin. Energetic non-member subscriber Paul Maxim from the “Big Apple” reaches into our nostalgic mental libraries from the Prometheus Society’s Gift of Fire journal.
The editor and his mom were able to find Roland Muller’s home in Seiffen, Germany! A short and colorful story will raise smiles from all readers in A Visit to Seiffen – Land of Nutcracker Artisans.
From early childhood, the editor continues to revolve around many pens to correspond and do work on paper. He shares a high-tech writing instrument in the article My Crave for Pens.
John J. Watkins in 2004 put out a terrific book on linking graph theory and chess – loaded with theorems and the like. Dr. Watkins sent a color photo of the book jacket cover (inside and out) and we share briefly some tidbits about his book in the final article of this issue of Noesis titled Across the Board – The Mathematics of Chessboard Problems.
Noesis Dues Status – Last Paid Issue
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Active Mega Society Members |
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Bloom |
176 |
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Corley |
176 |
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Erlandson |
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176 |
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Officer - Administrator |
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Langdon |
Officer - Internet |
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175 |
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May |
174 |
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Dr. Hoeflin |
Founder/Editor Emeritus |
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Officer – Editor/Publisher |
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Wooten |
176 [1] |
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178 |
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178 |
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175 |
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175 |
[1] new member 8/04 – receives a free issue (175+1=176)
NOESIS Journal – October/November 2004
– Issues #174/175
CONTENTS |
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# |
TITLE |
AUTHOR |
PAGE |
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1 |
Halloween Memories |
Editor |
7 |
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2 |
Mathematical Quickies |
Charles W. Trigg |
8 |
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3 |
A Time for Thanksgiving |
Editor |
10 |
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4 |
Quotes on R&D, Risk and Technology |
Joe Griffith |
15 |
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5 |
Three Rules of Work |
Albert Einstein |
22 |
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6 |
Poems for a Good & Happy Life |
Myrna Reid Grant |
23 |
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7 |
Mathematical Quickies – Answers |
Charles W. Trigg |
24 |
|
8 |
Star Trek Quiz – 1st Season (1966-1967) |
Editor |
26 |
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9 |
Pending Inquiry to Marilyn vos Savant on Publishing the Titan Test in Parade |
Editor |
32 |
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10 |
“German Made Simple” – Let’s Test It! |
Editor, Jackson, Geiger |
33 |
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11 |
Lebkuchen by Schmidt, Nuremberg, Germany - German Food Specialties |
GFS |
34 |
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12 |
Those Green Sweat Pants |
Editor |
35 |
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13 |
Google Entices Job-Searchers with Math Puzzle |
NPR |
40 |
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14 |
Star Trek Quiz – 1st Season (1966-1967) - Answers |
Editor |
40 |
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15 |
The Book “π” - Alfred S. Posamentier and Ingmar Lehmann |
Posamentier/ Lehmann |
41 |
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16 |
Gentle Jokes |
Fred Metcalf |
46 |
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17 |
Nature’s Medicine Chest |
Editor |
48 |
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18 |
Acid-Alkaline Foods |
Paavo Airola, Ph.D. |
49 |
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19 |
“German Made Simple” – Let’s Test It! – Answers |
Editor, Jackson, Geiger |
50 |
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20 |
Some Secrets of Successful People |
Dr. David Niven |
51 |
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21 |
May we Foster the Healing Process |
Editor |
52 |
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22 |
The Wonders of Christmas |
Editor |
53 |
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23 |
Berliner Pfannkuchen |
Editor |
56 |
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24 |
Lebkuchen |
Editor |
57 |
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25 |
Lateral Thinking Puzzles - Ed Harshman, Des MacHale & Paul Sloane |
Harshman, et al |
58 |
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26 |
Welcome to the Random Word Tutorial |
Brainstorming Co. |
59 |
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27 |
Lateral Thinking Puzzles - Clues |
Harshman, et al |
61 |
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28 |
Lateral Thinking – and more! |
Mind Tools |
62 |
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29 |
White Christmas – Part II |
Editor |
63 |
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30 |
Reader’s Digest Quotable Quotes |
Reader’s Digest |
64 |
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31 |
Lateral Thinking Puzzles - Answers |
Harshman, et al |
66 |
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32 |
A House with Love in It |
Editor |
67 |
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33 |
Military Sensing Symposium – Paper Abstract |
Editor |
68 |
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34 |
Leben als Sinn von Sein |
Dai Takeuchi |
69 |
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35 |
Stellar-IQ People |
Editor |
73 |
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36 |
Schools and the g Factor |
Linda S. Gottfredson |
74 |
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37 |
The Encyclopedia of Integer Sequences |
Sloane, et al |
75 |
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38 |
Letter from Dr. Ron Hoeflin |
Editor |
75 |
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39 |
Letter from Paul Maxim |
Editor |
75 |
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40 |
A Visit to Seiffen – Land of Nutcracker Artisans |
Editor |
76 |
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41 |
My Crave for Pens |
Editor |
78 |
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42 |
Across The Board – The Mathematics of Chessboard Problems |
John J. Watkins |
79 |
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43 |
Across The Board – The Mathematics of Chessboard Problems – Answers |
John J. Watkins |
82 |
Halloween Memories
by Editor
When we were kids in elementary school, the thrill of Halloween was elevated due to a number of reasons. The temperature was generally cooler, loads of leaves were on the ground in the neighbor’s yards and in huge mounds along the street-side curbs. We’d walk through these huge mounds of leaves as we trekked to all the neighbor’s houses for the long-anticipated treats. But a few weeks before October 31st was anticipation – deciding on the costumes – many times homemade. At school we would do up Halloween cards and have assignments relating to Halloween. Traditional dinner on Halloween night at around 4 p.m. was our mom’s homemade chili con carnie. We were well-equipped with a pillow case to carry our treasures – and the evening officially began for us at 5 p.m. On our minds were the more wealthy families in the area – who offered large candy bars, sometimes invited us in for a cup of hot cocoa or mulled cider. The short reprieve was appreciated. We’d leave these “mansions” re-energized to conquer the territory – usually till about 9 p.m. When we returned to the house, divide up the loot – about 2/3 was squirreled away by our mom – for a couple months down-the-road – when the treats would really be appreciated. We were exhausted after the long night and would talk of our unique experiences with the homes visited. Fortunately, we had the next day off from school if Halloween fell on a Sunday through Thursday. That was great – because the next day we could enjoy the loot!
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The History of Carving Pumpkins |
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http://www.pumpkincarving101.com/pumpkin_carving_history.html |
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Mathematical Quickies
by Charles W. Trigg
Charles W. Trigg, Dean Emeritus and Professor Emeritus at Los Angeles City College, has produced and compiled many interesting math puzzles, and has authored some great articles in many journals. This article celebrates Charles’ prowess via a Dover publication titled “Mathematical Quickies – 270 Stimulating Problems with Solutions,” original copyright 1967 (2nd publication 1985), ISBN: 0-486-24949-2, USD $5.95, paperback, about 5 3/8 inch wide by 8 ½ inch long by ½ inch thick.
Back Book Cover: For the mathematics enthusiast of any age or level of sophistication, this stimulating treasury of unusual math problems offers unlimited opportunity for mind-boggling recreation . . . . Charles . . . is one of the country’s best-known problemists, has compiled nearly 300 mathematical brainteasers from the fields of arithmetic, algebra, plane and solid geometry, trigonometry, number theory, and such general recreational mathematics as dissections, cryptarithms and magic squares. The object of each problem is to find the quickest, most elegant solution – they are often unorthodox and there is usually an element of surprise in each. Ranging from the simple to complex, problems are both original with the author and the work of over 100 qualified mathematicians. Most are rarely seen or entirely new; all challenge the reader to devise solutions more elegant than the ones provided. The book was originally published by McGraw-Hill Book Company, N.Y. in 1967.
Problem 85 – The Prize Contest (page 25)
Professor E. P. B. Umbugio is trying to supplement his meager academic salary by entering soap contests. One such contest requires the contestants to find the number of paths in the following array which spell out the word MATHEMATICIAN. Umbugio has counted 1,587 paths which originate from one of the first five rows. With the deadline for submitting entries approaching, he is distraught, to say the least. Help the professor out by finding the number of paths with a minimum of computation.
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Problem 90 – A Surprising Square (page 27)
In what system(s) of numeration is 11111 a perfect square?
Problem 99 – A Skeleton Product (page 29)
The product of three consecutive even integers is 8 7 * * * * * 8. Find the integers and supply the missing digits in the product.
Problem 120 – Feeding Three Truck-drivers (page 34)
Three truck-drivers went into a roadside café. One truck-driver purchased four sandwiches, a cup of coffee and ten doughnuts for $1.69. Another truck-driver purchased three sandwiches, a cup of coffee and seven doughnuts for $1.26. What did the third truck-driver pay for a sandwich, a cup of coffee and a doughnut?
Problem 177 – Tetrahedron through a Straw (page 49)
Given a flexible, thin-walled cylinder, such as a soda straw, with diameter d. What is the edge e of the largest regular tetrahedron that can be pushed through the straw?
Problem 215 – Superposed Radical (page 59)
Evaluate ![]()
Problem 221 – Rhombic Dodecahedrons (page 60)
Show that space can be filled with rhombic dodecahedrons.
Problem 236 –How Old Is Willie? (page 64)
”Did your teacher give you that problem?” I asked. “It looks rather tedious.”
“No,” said Willie, “I made it up. It’s a polynomial equation with my age as a root. That is, x stands for my age my last birthday.”
“Well, then,” I remarked, “It shouldn’t be so hard to work out – integer coefficients, integral root. Suppose I try x = 7 . . . No, that gives 77.”
“Do I look only seven years old?” demanded Willie.
“Well, let me try a larger integer . . . No, that gives 85, not zero.”
“Oh, stop kidding!” said Willie, looking over my shoulder. “You know I’m older than that.”
How old is Willie?
Problem 249 – The Bonus Fund (page 67)
It was planned to distribute fifty dollars of a bonus fund to each employee, but the last man would have gotten only forty-five dollars. In order to effect an equitable distribution, forty-five dollars was given to each person, and ninety-five dollars was kept in the fund for the following year. How much money was in the fund to begin with?
Problem 266 – When Is the Division Exact? (page 72)
For what positive integral values of n does 2n + 1 divide n4 + n2?
A Time for Thanksgiving
by Editor
Thanksgiving is a special time of year for people in America. It gives them a time to reflect back to the forefathers – the Pilgrims – who traveled under extreme conditions for apparent freedom. In today’s world, the term “freedom” has been re-defined in a multitude of ways. In an age of persistent war and terrorism, Americans, and people in countries all over the globe, continue to find peace-of-mind by “looking up” to God. People find God a loving Shepard – who provides and cares for His flock. In whatever ‘state’ we find ourselves, with God by our side, we can know stability of mind. Because our mind is the ‘rudder’ of our being, it is important to have it linked with Divine Omnipotence. There are thousands of things to be “thankful” for – many of these items go undetected – all too easily. In this section we present a small variety of items we hope will console, cheer, and reinforce the meaning of Thanksgiving.
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THE PLYMOUTH THANKSGIVING STORY
John Burrows - Director, Fourth World Documentation Projecthttp://www.2020tech.com/thanks/temp.html When the Pilgrims crossed the Atlantic Ocean in 1620, they landed on the rocky shores of a territory that was inhabited by the Wampanoag (Wam pa NO ag) Indians. The Wampanoags were part of the Algonkian-speaking peoples, a large group that was part of the Woodland Culture area. These Indians lived in villages along the coast of what is now Massachusetts and Rhode Island. They lived in round-roofed houses called wigwams. These were made of poles covered with flat sheets of elm or birch bark. Wigwams differ in construction from tipis that were used by Indians of the Great Plains. The Wampanoags moved several times during each year in order to get food. In the spring they would fish in the rivers for salmon and herring. In the planting season they moved to the forest to hunt deer and other animals. After the end of the hunting season people moved inland where there was greater protection from the weather. From December to April they lived on food that they stored during the earlier months. The basic dress for men was the breech clout, a length of deerskin looped over a belt in back and in front. Women wore deerskin wrap-around skirts. Deerskin leggings and fur capes made from deer, beaver, otter, and bear skins gave protection during the colder seasons, and deerskin moccasins were worn on the feet. Both men and women usually braided their hair and a single feather was often worn in the back of the hair by men. They did not have the large feathered headdresses worn by people in the Plains Culture area. There were two language groups of Indians in New England at this time. The Iroquois were neighbors to the Algonkian-speaking people. Leaders of the Algonquin and Iroquois people were called "sachems" (SAY chems). Each village had its own sachem and tribal council. Political power flowed upward from the people. Any individual, man or woman, could participate, but among the Algonquins more political power was held by men. Among the Iroquois, however, women held the deciding vote in the final selection of who would represent the group. Both men and women enforced the laws of the village and helped solve problems. The details of their democratic system were so impressive that about 150 years later Benjamin Franklin invited the Iroquois to Albany, New York, to explain their system to a delegation who then developed the "Albany Plan of Union." This document later served as a model for the Articles of Confederation and the Constitution of the United States. These Indians of the Eastern Woodlands called the turtle, the deer and the fish their brothers. They respected the forest and everything in it as equals. Whenever a hunter made a kill, he was careful to leave behind some bones or meat as a spiritual offering, to help other animals survive. Not to do so would be considered greedy. The Wampanoags also treated each other with respect. Any visitor to a Wampanoag home was provided with a share of whatever food the family had, even if the supply was low. This same courtesy was extended to the Pilgrims when they met.
Compliments of AMICA Insurance |
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houghts of the fall |
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rateful for life’s bounty. |
We can only guess what the Wampanoags must have thought when they first saw the strange ships of the Pilgrims arriving on their shores. But their custom was to help visitors, and they treated the newcomers with courtesy. It was mainly because of their kindness that the Pilgrims survived at all. The wheat the Pilgrims had brought with them to plant would not grow in the rocky soil. They needed to learn new ways for a new world, and the man who came to help them was called "Tisquantum" (Tis SKWAN tum) or "Squanto" (SKWAN toe). Squanto was originally from the village of Patuxet (Pa UK et) and a member of the Pokanokit Wampanoag nation. Patuxet once stood on the exact site where the Pilgrims built Plymouth. In 1605, fifteen years before the Pilgrims came, Squanto went to England with a friendly English explorer named John Weymouth. He had many adventures and learned to speak English. Squanto came back to New England with Captain Weymouth. Later Squanto was captured by a British slaver who raided the village and sold Squanto to the Spanish in the Caribbean Islands. A Spanish Franciscan priest befriended Squanto and helped him to get to Spain and later on a ship to England. Squanto then found Captain Weymouth, who paid his way back to his homeland. In England Squanto met Samoset of the Wabanake (Wab NAH key) Tribe, who had also left his native home with an English explorer. They both returned together to Patuxet in 1620. When they arrived, the village was deserted and there were skeletons everywhere. Everyone in the village had died from an illness the English slavers had left behind. Squanto and Samoset went to stay with a neighboring village of Wampanoags. One year later, in the spring, Squanto and Samoset were hunting along the beach near Patuxet. They were startled to see people from England in their deserted village. For several days, they stayed nearby observing the newcomers. Finally they decided to approach them. Samoset walked into the village and said "welcome," Squanto soon joined him. The Pilgrims were very surprised to meet two Indians who spoke English. The Pilgrims were not in good condition. They were living in dirt-covered shelters, there was a shortage of food, and nearly half of them had died during the winter. They obviously needed help and the two men were a welcome sight. Squanto, who probably knew more English than any other Indian in North America at that time, decided to stay with the Pilgrims for the next few months and teach them how to survive in this new place. He brought them deer meat and beaver skins. He taught them how to cultivate corn and other new vegetables and how to build Indian-style houses. He pointed out poisonous plants and showed how other plants could be used as medicine. He explained how to dig and cook clams, how to get sap from the maple trees, use fish for fertilizer, and dozens of other skills needed for their survival. By the time fall arrived things were going much better for the Pilgrims, thanks to the help they had received. The corn they planted had grown well. There was enough food to last the winter. They were living comfortably in their Indian-style wigwams and had also managed to build one European-style building out of squared logs. This was their church. They were now in better health, and they knew more about surviving in this new land. The Pilgrims decided to have a thanksgiving feast to celebrate their good fortune. They had observed thanksgiving feasts in November as religious obligations in England for many years before coming to the New World. The Algonkian tribes held six thanksgiving festivals during the year. The beginning of the Algonkian year was marked by the Maple Dance which gave thanks to the Creator for the maple tree and its syrup. This ceremony occurred when the weather was warm enough for the sap to run in the maple trees, sometimes as early as February. Second was the planting feast, where the seeds were blessed. The strawberry festival was next, celebrating the first fruits of the season. Summer brought the green corn festival to give thanks for the ripening corn. In late fall, the harvest festival gave thanks for the food they had grown. Mid-winter was the last ceremony of the old year. When the Indians sat down to the "first Thanksgiving" with the Pilgrims, it was really the fifth thanksgiving of the year for them! Captain Miles Standish, the leader of the Pilgrims, invited Squanto, Samoset, Massasoit (the leader of the Wampanoags), and their immediate families to join them for a celebration, but they had no idea how big Indian families could be. As the Thanksgiving feast began, the Pilgrims were overwhelmed at the large turnout of ninety relatives that Squanto and Samoset brought with them. The Pilgrims were not prepared to feed a gathering of people that large for three days. Seeing this, Massasoit gave orders to his men within the first hour of his arrival to go home and get more food. Thus it happened that the Indians supplied the majority of the food: Five deer, many wild turkeys, fish, beans, squash, corn soup, corn bread, and berries. Captain Standish sat at one end of a long table and the Clan Chief Massasoit sat at the other end. For the first time the Wampanoag people were sitting at a table to eat instead of on mats or furs spread on the ground. The Indian women sat together with the Indian men to eat. The Pilgrim women, however, stood quietly behind the table and waited until after their men had eaten, since that was their custom. For three days the Wampanoags feasted with the Pilgrims. It was a special time of friendship between two very different groups of people. A peace and friendship agreement was made between Massasoit and Miles Standish giving the Pilgrims the clearing in the forest where the old Patuxet village once stood to build their new town of Plymouth. It would be very good to say that this friendship lasted a long time; but, unfortunately, that was not to be. More English people came to America, and they were not in need of help from the Indians as were the original Pilgrims. Many of the newcomers forgot the help the Indians had given them. Mistrust started to grow and the friendship weakened. The Pilgrims started telling their Indian neighbors that their Indian religion and Indian customs were wrong. The Pilgrims displayed an intolerance toward the Indian religion similar to the intolerance displayed toward the less popular religions in Europe. The relationship deteriorated and within a few years the children of the people who ate together at the first Thanksgiving were killing one another in what came to be called King Phillip's War. It is sad to think that this happened, but it is important to understand all of the story and not just the happy part. Today the town of Plymouth Rock has a Thanksgiving ceremony each year in remembrance of the first Thanksgiving. There are still Wampanoag people living in Massachusetts. In 1970, they asked one of them to speak at the ceremony to mark the 350th anniversary of the Pilgrim's arrival. Here is part of what was said: "Today is a time of celebrating for you -- a time oflooking back to the first days of white people in America.But it is not a time of celebrating for me. It is with aheavy heart that I look back upon what happened to myPeople. When the Pilgrims arrived, we, the Wampanoags,welcomed them with open arms, little knowing that it wasthe beginning of the end. That before 50 years were topass, the Wampanoag would no longer be a tribe. That we andother Indians living near the settlers would be killed bytheir guns or dead from diseases that we caught from them.Let us always remember, the Indian is and was just as humanas the white people. Although our way of life is almost gone, we, theWampanoags, still walk the lands of Massachusetts. What hashappened cannot be changed. But today we work toward abetter America, a more Indian America where people andnature once again are important."
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Psalm 111
Full of honor and majesty in his
work,
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STUDY AND DISCUSSION QUESTIONS – The Thanksgiving Story 1. Who lived on the rocky shores where the Pilgrims landed? 2. The Wampanoags were part of what culture area? 3. In what type of homes did the Wampanoags live? 4. Explain what the Wampanoags did to obtain food during the different seasons of the year? 5. What was the basic dress for the Wampanoag people? 6. Describe the Iroquois system of government. 7. Who later used this system of government as a model? 8. What courtesies did the Wampanoag people extend toward all visitors? 9. Who was "Tisquantum" and what village was he from? 10. Explain how Squanto learned to speak English. 11. Why did Squanto and Samoset go to live with another Wampanoag village? 12. Tell four ways in which Squanto helped the Pilgrims. 13. Describe the "First Thanksgiving" in your own words. 14. Why was this really the fifth thanksgiving feast for the Indians that year? 15. What do you think would have happened to the Pilgrims if they had not been helped by the Indians? 16. After studying about the culture of the Wampanoags, how would you react to a thanksgiving picture showing tipis and Indians wearing feathered headdresses? 17. Quickly re-read the lesson and as you read, make a list of vocabulary words that are new to you and write a definition for each one.
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Apple Bavarian TorteSubmitted by: Terri
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Cream of Pumpkin Soup Southern Lady Presents “Tea Time” Fall 2004 – USD $4.95; page 45
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½ cup onion, chopped |
2 tablespoons margarine, melted |
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2 (14.5 ounce) cans of vegetable broth |
1 (15 ounce) can pumpkin puree |
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¼ cup brown sugar |
½ teaspoon salt |
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¼ teaspoon cinnamon |
1/8 teaspoon fresh ginger, grated |
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1 cup half and half |
Enjoy it! |
Quotes on R&D, Risk and Technology
Compiled by Joe Griffith
Joe Griffith’s “Speaker’s Library of Business Stories, Anecdotes, and Humor,” dated 1990; ISBN 0-7607-1956-X. Three sections (R&D, Risk, and Technology) are presented here to provoke thought for Brainstorming sessions.
Research And Development
“I never perfected an invention that I did not think about in terms of the service it might give others.” Thomas Edison
▶ Speeding up product development can mean additional profits
“If you get to market sooner with new technology, you can charge a premium until the others follow.” John Handly, vice president, AT&T
▶ A valued trademark name doesn’t always assure the success of a new product
RCA is a well-known trademark name for radios and televisions, but when RCA tried to market kitchen appliances in the 1940s, it failed. The consumer didn’t connect radios and televisions with refrigerators.
▶ You can be successful without spending lots of money on research and development
Crown Cork and Seal relies on top customer service to succeed, and they do little basic research and don’t pioneer new products. Instead, its R&D department is used to solve specific customer problems quickly and to imitate new product innovations created by competitors.
▶ It’s not enough to develop new products, you also need the money to exploit their potential
IBM didn’t invent the personal computer but had the resources to succeed against those who were early entrants into the market.
▶ Companies that create new products often discover that the largest market was not originally known
When Alfred Nobel was developing dynamite, he was trying to discover a better explosive for the military. As it was, dynamite turned out to be too dangerous for the military but eventually was used by the mining and construction industries, along with the railroad, to replace the pick and shovel.
▶ The most successful companies are those that invest in research labs
The idea of research labs was implemented for General Electric in 1905. Next came Bell Labs, later Du Pont, and then IBM.
“Basic research is what I am doing when I don’t know what I am doing.” Wernher von Braun
▶ New products don’t always come from research and development
In 1957, Vic Barouh’s company made carbon paper. One day he saw a secretary use chalk to erase a mistake. This is how the idea for Ko-Rec-Type was born.
▶ Developing a new product is the first step. The second step is getting the potential recognized
“Xerography, invented by patent attorney and amateur physicist Chester Carlson in his New York City kitchen, was patented in 1937, but IBM, RCA, Remington Rand, and General Electric, among others, rejected it.” Mark Green and John F. Berry, The Challenge of Hidden Profits
▶ Develop products that are needed
“Competition from the Japanese is just one of a whole bunch of old saws that people use to explain product failure. The key is to find something that will make a difference in your customer’s business. Successful products provide instant economic success to the users.” Modesto Maidique, author
▶ New products need to get to market quicker to recoup research and development money faster
The safety razor took nine years for Gillette to manufacture; television, twenty-two years; radio, eight years; the cotton picker, fifty-three years; nylon, eleven years; the zipper, twenty-seven years.
▶ New products come from companies that encourage new products
The 3M Company has what they call a “10-percent rule.” Employees can spend 10 percent of their time on any project, just as long as it’s related to 3M’s business. You know those little yellow stick-on paper slips everyone uses? They were developed with the 10-percent rule and have been a big success at 3M.
▶ When developing a new product, make sure it will fulfill a need
That’s what Betty Nesmith, an executive secretary, did in 1951. The speed of the electric typewriter, new on the market, seemed to multiply typing errors. She concocted a mixture of water-based paint and a coloring agent that blended with the bank’s stationery. Soon other employees wanted to use her correction fluid, and by 1956, she was making and selling the product full-time. In 1979, Gillette bought her Liquid Paper Corporation for $47.5 million.
▶ It can be easier to succeed with an improved product than it is with a new product
It took Polaroid many years to reach $1 billion in sales with their innovative camera because they had to teach people how to use it.
▶ Sometimes technological discoveries occur accidentally
LTV Corporation’s “mistake” occurred in 1958, a landmark year for America’s space program. The United States, racing to catch up with the Soviet Union, launched its first satellite. The National Aeronautics and Space Administration was born. And workers at what is now LTV Missile and Electronics Group’s Missiles Division in Dallas accidentally left a piece of carbon in a furnace too long.
When LTV workers examined the specimen they nicknamed “burnt toast,” they found that instead of burning up in the heat, it was strong. The material, now known as reinforced carbon/carbon, has evolved into key structural material for the space shuttle and may be used on future space vehicles because of its strength and ability to withstand metal-melting temperatures.
▶ We can have more breakthroughs in research if we create an environment that encourages it
Consider how Montgolfier invented the hot-air balloon. Looking into the fireplace, one of the brothers saw burnt paper scraps rise above the flames and up the chimney. Heated air could make a balloon rise from the earth, he realized.
While working on a better way to make glass, British inventor Alastair Pilkington noticed a film of fat floating in his wife’s dishwasher. That idea hook inspired a process where molten glass is floated on a layer of melted metal to provide an otherwise unachievable smoothness.
Dunlop got the idea for the rubber tire by looking at a garden hose.
Colt invented the revolver after watching a ship’s wheel turn.
▶ When a new product fails, don’t let managerial ego keep it on the market
Remember when Ford produced the Edsel. It was a major failure. All premarket research indicated that the Edsel would be well received, but the public didn’t buy it. Ford quickly dropped the Edsel and thereby cut their losses short. Had management’s ego been so big they didn’t want to admit their mistake, the Edsel could have stayed on the market and could have eventually made Ford Motor Company the failure and not just the product.
▶ The more dominate a company is in its market, the faster they can usually bring out new products
Black & Decker has a faster rate of new product introduction than any of its competitors in the power tool industry because it has a substantial lead in market share over its competitors.
3M, an office products leader, has over forty-thousand different products.
▶ Instead of developing product families, develop product lines
For example, when Stouffer’s rolled out its Lean Cuisine frozen entrees, what was being sold wasn’t frozen food. The company very successfully sold the idea of high-class dieting to an increasingly health-conscious populace. Lean Cuisine wasn’t targeted at customers looking for frozen entrees and dinners – it was focused on consumers who would be attracted to the idea that the food was convenient, tasty, and compatible with a healthful weight-conscious life-style. The success of the idea is evident by the booming market for low-calorie frozen dinners.
▶ The more product research develops, the more you will develop through spin-off uses
3M’s brassiere project in the late 1950s was an attempt to borrow from 3M’s nonwoven-fiber technology, which already was used to make decorative ribbons for gift packages. The 3M bra offered good support but not much in the way of styling. Even though the bra wasn’t successful, it stimulated additional products that were successful. The shape of the bra cups suggested a surgical mask, and the nonwoven fiber had the necessary porous property to let air in but keep germs from going out.
▶ Sometimes a product only has to be improved to increase sales
Take the fountain pen first introduced in 1884. About sixty years later, after World War II, the ballpoint pen was invented. Then came porous point pens, highlighters, and then mechanical pencils.
No matter how many new word processors or automated office equipment comes to market, pens will always be around in one form or another, as witnessed by the fact that annual sales of pens is near $3 billion.
▶ Give a product a new twist
The quickest way to create a new product is to give it a new twist to one that already exists. This worked for Weight Watchers. There were already hundreds of diets available, but Weight Watchers added the idea of support groups to dieters.
Risk
“Behold the turtle. He makes progress only when he sticks his neck out.” James B. Conant
“Nothing will ever be attempted if all possible objections must be first overcome.” Samuel Johnson
“There is only one danger I find in life – you may take too many precautions.” Alfred Adler
“Progress always involves risks. You can’t steal second base while keeping your foot on first” Frederick Wilcox
▶ Sometimes not taking a risk is a risk
“People who don’t take risks generally make about two big mistakes a year. People who do take risks generally make about two big mistakes a year.” Peter Drucker
▶ Risk is necessary for a company to grow and prosper
Pharmaceutical manufacturers always risk the danger of bringing a killer to market instead of a cure. The Thalidomide drug brought out in the early 1960s left malformed infants. The inoculations in the 1970s for infantile paralysis turned out to be lethal and had to be taken off the market. But because they take these risks, lifesaving drugs have dramatically extended our life expectancy.
▶ Everyone has their own level of risk
“As far as I’m concerned, nothing is worth going broke for.” Warren Avis, founder, Avis Car Rental
“Excessive caution can stop your potential as much as too much risk-taking.” Robert H. Henry, humorist
▶ It may be better to let others take the risk
“Never be a pioneer; it doesn’t pay. Let the other man do the pioneering and then after he has shown what can be done, do it bigger and more quickly; but let the other man take the time and risk to show you how to do it.” Leo Bakeland, founder Bakelite Corporation
▶ Taking no risk is sometimes the biggest risk
“Every serious choice that a man or woman makes is a leap, more or less frightening, into contingency. Not to make those choices, not to open oneself to misfortune and the fear of misfortune, is a tempting option, but one gives into it at the risk of never living a fully human life.” Nelson Aldrich, Jr., Old Money
▶ The more we have, the more we have to lose and the less likely we are to take a risk
Success automatically breeds caution. Listen to some of the sayings: “Don’t tamper with success.” “If it ain’t broke don’t fix it.” “Don’t break up a winning team.” “Don’t ruin a good thing.”
“The people I want to hear about are the people who take risks.” Robert Frost
“Great deals are usually wrought at great risks.” Herodotus
“Take risks. You can’t fall off the bottom.” Barbara Proctor
“America is becoming a nation of risk-takers, and the way we do business will never be the same.” Allan A. Kennedy
▶ We can reduce risk by preparation
Remember the famous saloon scene with W. C. Fields. After watching the canny comedian survey his poker hand, a man asked, “Is this a game of chance?” Fields replied, “Not the way I play it.”
▶ Perhaps the biggest threat to a successful business is the willingness to remain comfortable and reject the small risk that could lead to greater rewards
In the 1960s, Campbell Soup Company produced a comfortable profit almost like clockwork. But a man named Gordon McGovern down in a little-known bakery division wasn’t satisfied. Before long, McGovern developed a line of premium cookies. Sales shot sky-high. The brand name was Pepperidge Farm.
A few years later, McGovern was named Campbell’s chairman, and he quickly produced a line of gourmet soups that opened new markets. Again sales soared. Perhaps more important, McGovern’s creative, take-a-risk attitude soon permeated the company.
▶ Before taking a risk, think of Rudyard Kipling’s words:
If you can make one heap of all your winnings
And risk it on one turn of pitch-and-toss,
And lose, and start again at your beginnings
And never breathe a word about your loss . . .
▶ Without risk, there is no reward
Academy Award-winning actor George Kennedy reached stardom only after he made a difficult decision to change the direction of his life. He was in the army and had completed fourteen years’ service – just six short of retirement – when he decided that what he really wanted was to be an actor.
His family and friends advised him not to do it. “Why give up the security of the army and sure retirement benefits for the insecurity of the actor’s world? Why trade the certain for the uncertain? At your age, you’re crazy to change careers. How do you know you can ever be an actor?”
“Failure didn’t fit into my scheme of things,” he said. He ventured to Hollywood, won an Oscar for his role in Cool Hand Luke and went on to star in a successful television series. He now earns more from one TV commercial than he did in a year with the Army.
Technology
▶ No matter how technical we become, the customer must be number one
“IBM is customer- and market-driven, not technology-driven.” Buck Rodgers, former IBM VP, Marketing
“Television is the triumph of machinery over people.” Fred Allen
“Automation may be great, but nothing speeds up work like a wastebasket.” Frank Hodur
▶ Technology is no better than the user
As one manager said: I don’t like this darn computer, I wish that they would sell it; it never does what I want it to do, only what I tell it.
▶ You can’t stop progress
“Once technology is out of the jar, you can’t put it back in.” Ervin L. Glaspy
▶ Technology doesn’t have to be based on the space age to be useful
Ray Kroc built McDonald’s with the latest technology for making better hamburgers. Because of technology, he built his fortune in a business, eating out, that was already overcrowded.
▶ Technology can save money and boost productivity
Burger King put TV terminals in their kitchens so that the chefs could read their incoming orders from a screen that were taken from the cash registers out front. As a result, the cooks made fewer mistakes and wasted less food.
▶ We can’t always see the development of technology until after it occurs
Thomas Watson, founder of IBM, started out in the 1920s designing, selling, and installing punch-card equipment. He had no idea that technology would take IBM to the forefront of the business world.
▶ Technology can give you a competitive advantage
The radial tire allowed Michelin to challenge Goodyear and Firestone. In typewriters, electronics was the undoing of Underwood and other mainstays.
▶ New technology keeps you from sitting on your laurels
Years ago, Dictaphone was so far ahead in the Dictaphone industry they made the mistake of assuming nobody could catch up. Then IBM bought Dictabelts, which had an advanced magnetic tape technology, and suddenly Dictaphone had to catch up.
Thomas Edison once said that his greatest discovery of all was the discovery of what people wanted to use.
“Technologies that are emerging today will give us the ability to explore, convey, and create knowledge as never before. This has enormous implications for us as individuals, as well as for our institutions. We have had an opportunity that is given to few generations in history. I believe that if we respond with our best creative energies, we can unleash a new renaissance of discovery and learning.” John Scully, chairman, Apple Computer
▶ Technology is what allows people to do things that otherwise would not be possible
“Technology is how to make and use a knife – how to weave cloth – how to make and control a fire – how to preserve food – and millions of other things, some that seem astounding, and others that are so familiar that they are simply taken for granted as being self-evident.” Jerrier A. Haddad
“Most economists concur that 50 to 60 percent of our economic growth can be attributed to technological innovations.” Ian M. Ross, president, AT&T, Bell Laboratories
▶ New technology can quickly get outdated
Technology progresses so fast that sometimes companies spend millions of dollars on equipment that is quickly replaced with new technology. As one executive put it, “It’s like building an awesome horseshoe factory after Henry Ford has his insight into the automobile assembly line.”
Demand is often waiting for the technology to make it possible. For example, America has been a national society for about twenty-five years, largely because of television. But is never had a national newspaper until USA Today appeared, and it filled the demand only after technology made it possible.
▶ Technology can achieve total domination or total freedom
On February 8, 1984, U.S. astronaut Bruce McChandless walked in space . . . totally free of any connection to earth. No ropes to the spacecraft, no planet beneath his feet. For the first time ever, a human being was completely set free by technology.
▶ Some companies profit by sharing their technology
Kodak licensed their camera technology to numerous competitors to help them sell more cameras. Kodak did this to stimulate sales of Kodak film.
Intel licensed IBM and Commodore to make the 8088 microprocessor. This made buyers competitors, but it also scared off more competition in the process.
“Change brought about by new technology is never as important as it may become. For example, when the telephone was invented, the chief engineer of the British Post Office said it might be useful in America, but in England, there was no need for telephones, since ‘we have plenty of messenger boys.’ A similar view was taken by an officer of Western Union, who expected the phone primarily would be used to help telegraph operators communicate with each other. He simply could not visualize the elimination of telegraphers by universal telephone service.” James H. Rosenfield, senior vice president, CBS Broadcast Group
▶ Technology can bring about a loss of worker pride
Think back to the days when most workers were craftsmen. They took pride in their work. Let’s follow a man named Jones. Jones was a carriage maker, and one day, out of a job, he appeared at a wagon factory looking for work. Instead of asking him to make the whole wagon, he was asked to only make wagon wheels. The bigger the company got, the less part Jones played in making the wagon. Eventually he only made part of the wheel. He became detached and lost pride since he played such a small part.
“There has always been at each decisive period in this world’s history some voice, some note, that represented for the time being the prevailing power. There was a time when the supreme cry of authority was the lion’s roar. Then came the voice of man. After that is was the crackle of fire. . . . And now, finally, there was heard in the streets of Detroit the murmur of this newest and most perfect of forces, the automobile, rushing along at the rate of 25 miles an hour.
It was not like any other sound ever heard in this world. It is not like the puff! puff! of the exhaust of gasoline in a river launch; neither is it like the cry! cry! of a working steam engine; but a long, quick, mellow gurgling sound, not harsh, not unmusical, not distressing; a note that falls with pleasure on the ear. It must be heard to be appreciated. And the sooner you hear its newest chuck! chuck! the sooner you will be in touch with civilization’s latest lisp, its newest voice.” Henry Lacey Ford
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THREE RULES OF WORK:
OUT OF CLUTTER, FIND – SIMPLICITY.
FROM DISCORD, FIND HARMONY.
IN THE MIDDLE OF DIFFICULTY LIES OPPORTUNITY.
- ALBERT EINSTEIN
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Poems for a Good & Happy Life
Compiled by Myrna Reid Grant [1]
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Three Words of Strength Friedrich von Schiller
There are three lessons I would write, Three words, as with a burning pen, In tracings of eternal light, Upon the hearts of men.
Have Hope. Though clouds environ round, And gladness hides her face in scorn, Put off the shadow from thy brow: No night but hath its morn.
Have Faith. Where’er thy bark1 is driven – The calm’s disport,2 the tempest’s mirth – Know this: God rules the host of heaven, The inhabitants of earth.
Have Love. Not love alone for one, But man, as man thy brother call; And scatter, like a circling sun, Thy charities on all.
1-Sailing ship 2- Play
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Good Deeds William Shakespeare
How far that little candle throws his beams! So shines a good deed in a naughty world.
- Merchant of Venice, Act 5, Scene 1
Heaven doth with us as we with torches do, Not light them for themselves; for if our virtues Did not go forth of us, ‘twere all alike As if we had them not.
- Measure for Measure, Act 1, Scene 1 |
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Who Has Not Found the Heaven – Below Emily Dickinson
Who has not found the Heaven – below – Will fail of it above – For Angels rent the House next ours, Wherever we remove –
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Be Useful George Herbert
Be useful where thou livest, that they may Both want and wish thy pleasing presence still. - Find out men’s wants and will, And meet them there. All worldly joys go less To the one joy of doing kindnesses. |
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A Rule John Wesley
Do all the good you can, By all the means you can, In all the ways you can, In all the places you can, At all the times you can, To all the people you can, As long as ever you can.
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Justice in the Bible
Learn to do good; seek justice, rescue the oppressed, defend the orphan, plead for the widow. Isaiah 1:17
But let justice roll down like waters, and righteousness like an ever-flowing stream. Amos 5:24 |
[1] “Poems for a Good & Happy Life - more than 225 poems to inspire and uplift your spirit,” compiled by Myrna Reid Grant, hardbound, Gramercy Books, 1997, ISBN 0-517-20367-4; 312 pages.
Mathematical Quickies – Answers
by Charles W. Trigg
Problem 85 – The Prize Contest (page 25, answer on page 114)
One may count the paths “backwards” from the N. In counting the left half of the array, including the center column, there are two choices for each backward step. Thus this portion yields 2 to the 12th power paths. Doubling this number and subtracting the center column to keep from counting it twice, yields 2 raised to the 13th power – 1 = 8,191 paths.
Problem 90 – A Surprising Square (page 27, answer on page 117)
If
the base of the system of numeration is B, B>1, then 11111 may be written
. Now,
. If
then
and
and for B = 3, we have 11111 = (102)2. V. Thebault, National
Mathematics Magazine, volume 15 (December, 1940), page 149.
Problem 99 – A Skeleton Product (page 29, answer on page 121)
No one of the units’ digits
of the factors can be zero. (4) (6) (8) = 192 and (2) (4) (6) = 48.
. Therefore, the product is (442)(444)(446) = 87,526,608. Mathematics
Magazine, volume 37 (November, 1964), page 360.
Problem 120 – Feeding Three Truck-drivers (page 34, answer on pages 131,132)
The purchases of the first two truck-drivers establish the equations
4s + c + 10d = 169 (1)
and
3s + c + 7d = 126 (2)
Then we have:
2 times (1): 8s + 2c + 20d = 338 (3)
3 times (2): 9s +3c + 21d = 378 (4)
(4) – (3): s + c + d = 40 cents
which was paid by the third truck-driver. School Science and Mathematics, volume 66 (June 1966), page 561.
Problem 177 – Tetrahedron through a Straw (page 49, answer on pages 158,159)
In a parallelogram consisting of a strip of four equilateral triangles, lines drawn parallel to a long side have a constant length 2e. When the strip is folded into a regular tetrahedron, it follows that the sections of the tetrahedron made by planes perpendicular to the join of the midpoints of two opposite edges have a constant perimeter 2e.
Consequently, when its bimedian coincides with the axis of the cylinder, the tetrahedron may be pushed through a flexible thin-walled cylinder with a circumference pd = 2e. Thus e = pd/2. in practice, it would be helpful to have the end of the cylinder flared out slightly in order to get the job underway.
If the tetrahedron has a different attitude to the axis of the cylinder, some plane perpendicular to the axis will pass through a vertex and cut two edges not issuing from the vertex. (The reader, if interested, needs to get the book to see the little illustration on page 159). The perimeter of a typical section is greater than 2e. Consequently, the tetrahedron cannot pass through the cylinder in this attitude. It follows that the largest tetrahedron that can pass through the cylinder is one with edge pd/2. mathematics Magazine, volume 39 (March, 1966), page 133.
Problem 215 – Superposed Radical (page 59, answer on page 178)
A
general term of the sequence 11, 14, 17, · · · is 8 + 3n. A general term of the sequence 4, 10,
18, · · · is
.
The first integer cube greater than 11 is 27 or 33. To get 27 under
the first radical sign there has to be 44 = 64 under the second
radical sign, since 11 + 16 = 27. But with 64 = 14 + 50 under the second
radical sign, 53 = 125 must be under the third radical sign. In
general, under the (n + 1)st radical sign there must be (n + 3)3
, in order that there may be
under the nth radical sign. Therefore, the value of
the given expression is 3. Edgar Karst, Mathematics Magazine, volume 32
(January, 1959), page 169.
Problem 221 – Rhombic Dodecahedrons (page 60, answer on page 181)
In a compact aggregation of equal cubes (which are space filling) pass planes through the six pairs of opposite edges of alternate cubes. Thus these cubes are dissected into six congruent pyramids with square bases and lateral edges equal to one-half the space diagonal of the cube. Each of the nondissected cubes is now faced with six pyramids which together with the cube constitute a rhombic dodecahedron (one face for each edge of the cube) with the edges of the cube as face diagonals. Since the volumes of all the cubes are used in this new assemblage, the rhombic dodecahedrons are space filling.
It follows immediately that the volume of a rhombic dodecahedron is equal to twice the cube of the short diagonal of a face.
Problem 236 –How Old Is Willie? (page 64, answer on page 188)
Willie’s friend, dispensing with trial-and-error, might make use of the fact that a – b is an integral divisor of P(a) – P(b) when a, b are distinct integers and P(x) is a polynomial with integral coefficients. Denoting the “larger integer” tried by N and Willie’s age by A, we have N – 7 divides (85 – 77) or 8, A – 7 divides 77, A – N divides 85 and 7 < N < A. It follows that N must be one of 8, 9, 11, 15 and A one of 14, 18, 84. Since A – N divides 85, the second integer tried must have been 9 and Willie is fourteen years old. D. C. B. Marsh, American Mathematical Monthly, volume 64 (October, 1957), page 593.
The polynomial must have been of the form (x-7) (x-9) (x-14) Q(x) - 3x2 + 52x -140.
Problem 249 – The Bonus Fund (page 67, answer on page 195)
In effect, five dollars was taken from the 95/5 or 19 persons, so the fund contained 20(50) – 5 or 995 dollars.
Problem 266 – When Is the Division Exact? (page 72, answer on page 204)

Clearly, n and 2n + 1 have no common factor other than 1. So f(n) cannot be an integer unless 5/(2n + 1) is, that is, when n = 2, 0, -1, or -3. For the only positive integral value, n = 2, f(n) = 4.
Star Trek Quiz – 1st Season (1966-1967)
by Editor
When the original television series of Star Trek came out, I was not interested in it. I gravitated to the spy programs like The Man from U.N.C.L.E., The Wild, Wild West, Mannix, The CAT, I Spy, Mission Impossible, Secret Agent, Voyage to the Bottom of the Sea, and others. Somehow, I eventually began watching Star Trek – and liked it. What intrigued me the most was the “personal chemistry” between the main characters – Captain Kirk, Mr. Spock, Dr. Bones, and Scotty the chief engineer. The space technology was great, and the consistency of the ship, the bridge, and ship layout were comforting. I felt like I was a member of the crew. But it was the dialog, the monologue, and interaction of the logic and emotion the key officers had among themselves and with those they interacted with – be they other humans on other planets and ship vessels, or the aliens (good and bad) they encountered. Recently, the original TV Star Trek series has been released on DVD. In reviewing several DVDs from the first (1966-1967) television series almost four decades later, my initial love for the “personal chemistry” between the main characters – the Captain Kirk, Mr. Spock, Dr. Bones, and Scotty the chief engineer – remains 100 percent in place. Here I share the “chemical dialog” from the first season – via a matching exercise. Avid Star Trek enthusiasts will match these quickly and confidently. The first year series has 24+ hours of viewing material.
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The Squire Of Gothos [1/12/67] |
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The Corbomite Maneuver [11/10/66] |
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Arena [1/19/67] |
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The Menagerie – Part I [11/17/66] |
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Where No Man Has Gone Before [9/22/66] |
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The Conscience Of The King [12/8/66]] |
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The Naked Time [9/29/66] |
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Balance Of Terror [12/15/66] |
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Dagger Of The Mind [11/3/66] |
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Tomorrow Is Yesterday [1/26/67] |
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The Man Trap [9/8/66] |
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Mudd’s Women [10/13/66] |
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What Are Little Girls Made Of? [10/20/66] |
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The Devil In The Dark [3/9/67] |
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Miri [10/27/66] |
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The Menagerie – Part II [11/24/66] |
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A Taste Of Armageddon [2/23/67] |
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Shore Leave [12/29/66] |
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Space Seed [2/16/67] |
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The Galileo Seven [1/5/67] |
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The Return Of The Archons [2/9/67] |
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Charlie X [9/15/66] |
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This Side Of Paradise [3/2/67] |
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Court Martial [2/2/67] |
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Errand Of Mercy [3/23/67] |
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The Alternative Factor [3/30/67] |
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The City On The Edge Of Tomorrow [4/6/67] |
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The Enemy Within [10/6/66] |
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Operation Annihilate [4/13/67] |
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[ ] indicates date it appeared on TV
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QUOTE SETS |
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B |
“428, to be exact.” “I’d like to see your ship now.” “It’s my favorite, where did you get it? They don’t have any in the ship’s store.” “Go to your quarters.” “Yes sir. There’s a tiger, tiger burning bright – in the forest of the night.” “Leave my crew alone.” “I want to stay.” ▶ Music composed and conducted by Fred Steiner |
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H |
“… earth-type radio signals coming from a planet which apparently is an exact duplicate of the earth.” “It’s broke . . . somebody broke it.” “How old is this thing? About 300 years.” “Life prolongation project.” “. . . a person would age only 1 month in every 100 years.” “You’re acting like them.” “I never get involved with older women.” ▶ Music composed and conducted by Alexander Courage |
Space: The Final Frontier. These are the voyages of the starship Enterprise. Its Five year mission: to explore strange new worlds, to seek out new life and new civilizations. To boldly go where no man has gone before. (The year is 2264.)
Star Trek Quiz – 1st Season (1966-1967) - continued
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QUOTE SETS |
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A |
“My blood cells are quite different.” “Go to
GQ4.” “The Enterprise has been invaded by a creature capable of assuming any form, with the capacity to paralyze and draw life from any one of us.” “Lord, forgive me.” ▶ Music composed and conducted by Alexander Courage |
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C |
“He’s kept alive mechanically. Battery-driven heart.” “This is TOP SECRET and scramble.” “Sometimes a man will tell his barber things he’ll never tell his doctor.” “This is Vena. Her parents are dead.” “Lock him up.” ▶ Music composed and conducted by Alexander Courage |
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D |
“Invisibility is theoretically possible . . . . but the power cost is enormous.” “First study the enemy . . .” “I hope we won’t need your services, Bones.” “Same as before Mr. Sulu. Stay with them.” “Hold your position. Play dead.” “I regret that we meet in this way. You and I are of a kind. In a different reality, I could have called you friend.” ▶ Music composed and conducted by Alexander Courage |
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E |
“Sir, contact with an object moving toward us.” “It’s blocking the way.” “ . . . an unexplained cubical object blocked our vessel’s path.” “. . . we’ve been held here motionless for eighteen hours.” “No further communication will be accepted.” “Not chess, Mr. Spock. Poker.” “A very interesting game, this poker.” “This is Trania. I hope you relish it as much as I.” ▶ Music composed and conducted by Alexander Courage |
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F |
“Cover him with our deflector screen.” “Not yet sir, but we hooked on to something.” “Almost a million gross tons of vessel depending on a hunk of crystal the size of my fist.” “Lithium replacements are imperative.” “And lithium crystals my dear are worth 300 times their weight in diamonds.” ▶ Music composed and conducted by Alexander Courage |
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G |
“Finding a needle in a haystack would be child’s play.” “We may be here for a very long time, doctor.” “You mean they should have respected us.” “Strange. Step by step I have made the correct and logical decisions. And yet two men have died.” “10, 12 feet in height.” “An hour from now, we may be right where we started from.” “Mr. Spock. That was a good gamble. Perhaps it was worth it.” ▶ Music composed and conducted by Alexander Courage |
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I |
“How are you on ESP?” “The ship’s space warp ability, gone.” “I outlined her whole campaign.” “There’ll be no discussion of this with the crew.” “Visitor – a very foolish man.” ▶ Music composed and conducted by Alexander Courage |
Star Trek Quiz – 1st Season (1966-1967) - continued
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QUOTE SETS |
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J |
“It’s like nothing we dealt with before.” “Your attitude is all wrong.” “Magnetic field continuing to change.” “Intestinal damage wasn’t that severe.” “I’ll take you home again, Kathleen.” “I am in control of my emotions.” ▶ Music composed and conducted by Alexander Courage |
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K |
“The Keeper has taken over control of our screen.” “You now see the primitive fear-threat reaction.” “We soon begin the experiment.” “You can have whatever dream you want.” “When dreams become more important than reality, you give up travel, building, and creating . . . “ “We’re like Adam and Eve.” “I must also vote guilty as charged.” “No, and at the moment I agreed with the reasons.” “Thank-you sir. From both of us.” ▶ Music composed and conducted by Alexander Courage |
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L |
“We may have an intruder aboard.” “Head back for Tantalus Colony.” “Dr. Helen Noel; Captain, we’ve met?” “I’m not a criminal.” “Neural neutralizer.” “He can reshape any mind he chooses.” ▶ Music composed and conducted by Alexander Courage |
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M |
“Kodus the executioner.” “Thank you Captain. I’m eternally grateful.” “Star light; star bright. I wish I may; I wish I might.” “A song. Make it a love song.” “I was a tool. Wasn’t I?” “There’s no time to sleep.” ▶ Music composed and conducted by Alexander Courage |
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N |
“Gravity is 1.1 of earth.” “This is Dr. Rodger Corby . . . “ “I’m Andrea. You must be Christine. I always thought how beautiful your name is.” “Watch carefully.” “Programming. A different word. Same old promises made by Genghis Khan, Julius Caesar, Hitler, Ferris, Vativus.” “Mind you own business Mr. Spock.” ▶ Music composed and conducted by Alexander Courage |
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O |
“I couldn’t of prescribed better.” “It’s like something out of Alice in Wonderland.” “All right Jimmy boy.” “Ruth? Ruth!” “I’d like to see you in it. Put it on.” “This man is my problem.” “I’m the caretaker of this place.” “The more complex the mind, the greater the need for simplicity of play.” ▶ Music composed and conducted by Alexander Courage |
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P |
“I guess we have a real UFO on our hands.” “That was in the late 1960s.” “Apparently, Captain. So are we.” “There are only twelve like it in the fleet.” “You’re as much a prisoner in time as I am.” “Maybe some chicken soup.” “The Enterprise is home. Kirk out.” ▶ Music composed and conducted by Alexander Courage |
Star Trek Quiz – 1st Season (1966-1967) - continued
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QUOTE SETS |
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Q |
“Code 710 means that under no circumstances are we to approach that planet.” “We’re going in gentlemen. Peacefully I hope. But peacefully or not, we’re going in.” “With whom are you at war?” “This is no game Captain. Half a million people have just been killed” “It has been classified destroyed by a tri-cobalt satellite explosion.” “A
disintegration machine.” “The best diplomat I know is a fully activated phaser bank.” “General order 24!” ”Feeling is not much to go on.” “Sometimes a feeling, Mr. Spock, is all we humans have to go on.” ▶ Music composed and conducted by Alexander Courage |
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R |
“You bet
your pointed ears I am.” “This is no drill. This is no drill.” “Warp factor seven.” “Warp factor eight.” “An unidentifiable power.” “Bare-handed against the Gorn, I have no chance.” “Potassium nitrate . . . . sulphur . . . ordinary coal.” “You demonstrated the advanced trait of mercy.” ▶ Music composed and conducted by Alexander Courage |
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T |
“The last such vessel was built centuries ago . . . back in the 1990s.” “All decks go to full alert.” “S. S. Botany Bay.” “How long . . . ?” . . . “Have you been sleeping? Two centuries.” “Insufficient facts always invites danger, Captain.” “Superior ability breeds superior ambition.” “Social occasions are only warfare concealed.” ▶ Music composed and conducted by Alexander Courage |
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S |
“Burned to a crisp.” “You think the creature is trying to push the colonists off the planet?” “We are dealing with a silicon creature of the deep rocks – capable of moving through solid rock as easily as we move through the air.” “To kill it, would be a crime against science.” “Captain. There are approximately 100 of us engaged in this search. The odds of both you and I being killed are 2,228.7 to 1.” “Come on over Mr. Spock.” “It calls itself a horta.” “You’re a healer. There’s a patient. Heal it.” “The greatest natural miners in the universe.” ▶ Music composed and conducted by Alexander Courage |
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U |
“Greetings and Felicitations.” “They’re like wax figures.” “Do you know that you’re one of the few predator species who preys even on itself?” “Get off my ship.” “And Captain. I never miss.” “You always stop me when I’m having fun.” ▶ Music composed and conducted by Alexander Courage |
Star Trek Quiz – 1st Season (1966-1967) - continued
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QUOTE SETS |
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V |
“I should have felt it in the air like static electricity.” “The prosecution will build its case on the basis of Kirk vs. the computer.” “Thousands of books.” “But, that’s not the way it happened.” “Why, thank you, doctor. I’ve just won my fourth game.” “I submit to you that Commander Finney is not dead.” “She’s a very good lawyer.” ▶ Music composed and conducted by Alexander Courage |
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W |
“We have 45 colonists here.” “Mr. Spock and I have met before.” “It’s like a jigsaw puzzle – all one color. No keys where the pieces fit in.” “I’ve never understood the female capacity to avoid a direct answer to any question.” “Spores?” “I love you.” . . . “I can love you.” But I never stopped to look at clouds before.” “This is mutiny, Mr.” “Who wants to counteract paradise, Jim boy?” “Had enough?” “Well, if we’re both in the brig, who’s going to build the subsonic transmitter?” “Three years wasted.” “For the first time in my life, I was happy.” ▶ Music composed and conducted by Alexander Courage |
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X |
“Paradise.” “It’s the will of Landru.” “Then
you’re not of the body. “He goes to joy, peace, and tranquility.” “Freedom is never a gift. It has to be earned.” ▶ Music composed and conducted by Alexander Courage |
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Y |
“Code 1.” “Ahead warp Factor seven.” “Curious lack of interest.” “The Klingons are a military dictatorship.” “We have no defenses Captain; nor are any needed.” “This is a laboratory specimen of an arrested culture.” “Good, honest, hatred.” “It’s a mind-sifter, or mind-ripper; depending on how much force is used.” “Captain of the USS Enterprise. A starship commander.” “Go climb a tree.” “Extreme heat.” “All instruments of violence on this planet now radiate a temperature of 350 degrees.” “Fascinating. Pure energy. Pure thought. Totally incorporeal. Not life as we know it at all.” “I should say the Organians are as far above us on the evolutionary scale as we are above the amoeba.” ▶ Music composed and conducted by Alexander Courage |
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Z |
“The entire magnetic field of this solar system simply ‘blinked’. “ Music composed and conducted by Alexander Courage “What you’re describing is . . . “ . . . “Non-existence.” “Star-Fleet Command. Code Factor 1, sir.” “Repeat.” “Code Factor 1.” “Invasion status.” “You mean. We’re the bait?” “I confess I am at a loss for words. It may be described though, loosely and inaccurately, as a rip in our universe.” “Those crystals are the very heart of the power of my ship.” “My spaceship – is more than just that . . .a time chamber . . . time ship . . I am a time traveler. . . . and I . . .” “Another universe, perhaps in another dimension, occupying the same space at the same time.” “Almost as if he were two men.” “Jim, madness has no purpose or reason . . . but it may have a goal.” “Matter and anti-matter.” “Exactly what did I pass through? “It’s hard to explain Captain. I call it an alternative warp . . .sort of a negative magnetic corridor where the two parallel universes meet. Sort of a safety valve . . .keeps eternity from blowing up.” |
Star Trek Quiz – 1st Season (1966-1967) - continued
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QUOTE SETS |
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AA |