Ruminations
I am reading a book, 777 Mathematical Conversation Starters by John dePillis. Its an interesting book with lots of quotes, poems, laws and anecdotes et al.
Herez some of them, and further I will keep updating this page with what I like from the book.
Robert Lee Moore (1882-1974) coined the term “point-set topology”. He is well known for his unique teaching method which, some would say, was less than minimalist. Learning by the student and teaching of the student was the responsibility of –the student. Moore’s pupils were obliged to avoid textbooks and all other references in favor of “discovery”. The result? After 64 years of teaching, Moore’s 50 doctoral students include three preseidents of the AMS and five presidents of MAA.
Probability vs. Determinism:
Billiard balls … are routinely invoked as the model of predictable physics. No one calls billiards a game of chance. All it requires to get the ball into the pockets is a well-measured poke of the perfectly positioned cue.
Dice on the other hand, [are perceived to be] the epitome of chance. Yet billiard balls and dice are both governed by the same physical laws.
So in the final analysis, chance lies in the clumsiness, the inexperience, or the naivete of the thrower– or in the eye of the observer. In fact, one might perfectly imagine a civilization in which the rolling of the dice would be a sport and billiards a game of chance.
Problem Solving:
Professionals in all areas are expected by their clients to exhibit one quality they are supposed to have in common — sound judgement. The following story provides an illustration:
In order to solve a persistent and intraceable probem with oneof its new multi-million dollar machines, a company contacted one of its recently retired engineers.
After studying the machine for a few hours, the engineer placed a small “x” in chalk on a particular component of the machine and proudly stated, ” This is where your problem is. Replace this part.” The part was replaced and the machine worked perfectly again. The company received a bill for $50,000 from the engineer for his service.
Feeling somewhat put upon, the company demanded an itemized accounting of the engineer’s charges. The engineer’s response read: One Chalk mark $1.00. Knowing where to put it, $ 49,999.00.
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