Book contents
- Frontmatter
- Foreword
- Acknowledgments
- Contents
- The Mystery of the Four-leaf Clovers
- A Fugue
- Tombstone Inscriptions
- The Two Lights
- MMM
- Acquiring Some Personal Items for MMM
- Difficulty in Explaining Relativity Theory in a Few Words
- Difficulty in Obtaining a Cup of Hot Tea
- Hail to Thee, Blithe Spirit
- C. D.
- Cupid's Problem
- The Lighter Life of an Editor
- The Two Kellys
- Some Debts
- Hypnotic Powers
- Founding the Echols Mathematics Club
- Meeting Maurice Fréchet
- Mathematizing the New Mathematics Building
- Finding Some Lost Property Corners
- The Tennessee Valley Authority
- How I First Met Dr. Einstein
- Catching Vibes, and Kindred Matters
- A Pair of Unusual Walking Sticks
- A New Definition
- Dr. Einstein's First Public Address at Princeton
- Parting Advice
- Two Newspaper Items and a Phone Call
- Wherein the Author Is Beasted
- The Scholar's Creed
- The Perfect Game of Solitaire
- The Most Seductive Book Ever Written
- The Master Geometer
- Sandy
- The Perfect Parabola
- Three Coolidge Remarks
- Professor Coolidge during Examinations
- Professor Coolidge's Test
- Borrowing Lecture Techniques from Admired Professors
- My Teaching Assistant Appointment
- A Night in the Widener Memorial Library
- The Slit in the Wall
- Nathan Altshiller Court
- An Editorial Comment
- Intimations of the Future
- A Rival Field
- A Chinese Lesson
- The Bookbag
- Running a Mile in Twenty-one Seconds
- Winning the 1992 Pólya Award
- A Love Story
- Eves' Photo Album
- A Condensed Biography of Howard Eves
- An Abridged Bibliography of Howard Eves' Work
Hypnotic Powers
- Frontmatter
- Foreword
- Acknowledgments
- Contents
- The Mystery of the Four-leaf Clovers
- A Fugue
- Tombstone Inscriptions
- The Two Lights
- MMM
- Acquiring Some Personal Items for MMM
- Difficulty in Explaining Relativity Theory in a Few Words
- Difficulty in Obtaining a Cup of Hot Tea
- Hail to Thee, Blithe Spirit
- C. D.
- Cupid's Problem
- The Lighter Life of an Editor
- The Two Kellys
- Some Debts
- Hypnotic Powers
- Founding the Echols Mathematics Club
- Meeting Maurice Fréchet
- Mathematizing the New Mathematics Building
- Finding Some Lost Property Corners
- The Tennessee Valley Authority
- How I First Met Dr. Einstein
- Catching Vibes, and Kindred Matters
- A Pair of Unusual Walking Sticks
- A New Definition
- Dr. Einstein's First Public Address at Princeton
- Parting Advice
- Two Newspaper Items and a Phone Call
- Wherein the Author Is Beasted
- The Scholar's Creed
- The Perfect Game of Solitaire
- The Most Seductive Book Ever Written
- The Master Geometer
- Sandy
- The Perfect Parabola
- Three Coolidge Remarks
- Professor Coolidge during Examinations
- Professor Coolidge's Test
- Borrowing Lecture Techniques from Admired Professors
- My Teaching Assistant Appointment
- A Night in the Widener Memorial Library
- The Slit in the Wall
- Nathan Altshiller Court
- An Editorial Comment
- Intimations of the Future
- A Rival Field
- A Chinese Lesson
- The Bookbag
- Running a Mile in Twenty-one Seconds
- Winning the 1992 Pólya Award
- A Love Story
- Eves' Photo Album
- A Condensed Biography of Howard Eves
- An Abridged Bibliography of Howard Eves' Work
Summary
In 1943, while teaching Mechanics at Syracuse University, I discovered that I possess hypnotic powers. In the class was a lovable, but mentally poorly equipped, student who went, among his classmates, by the simple name of Snuffy. One day, early in the semester, I tried to make clear the difference between conclusions arrived at by deduction and those arrived at by induction—the former (if the premises are accepted) being incontestable, while the latter are only more or less probable.
I illustrated deductive reasoning by such examples as:
Premises:
(1) All Canadians are North Americans.
(2) All Nova Scotians are Canadians,
Conclusion: All Nova Scotians are North Americans.
To illustrate induction I said, “Suppose I have a bucket of pebbles here on my desk. I select a pebble from the bucket,” I pantomimed picking a pebble from my imaginary bucket, “hold it over the edge of the desk,” I moved my hand containing the imaginary pebble beyond the edge of the desk, “and release it.” I opened my hand. “I note that the pebble falls to the floor.” With my eyes I followed the descending pebble as it fell. “I try the same experiment, and again the selected pebble falls to the floor. I do this with 100 pebbles, and in each case the pebble falls to the floor. Interesting! I grab a notebook and record my discovery: If a pebble is released, it falls to the floor.
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- Mathematical Reminiscences , pp. 65 - 66Publisher: Mathematical Association of AmericaPrint publication year: 2001