If your new theorem can be stated with great simplicity, then there will exist a pathological exception. In H. Eves Return to Mathematical Circles, Boston Prindle, Weber and Schmidt, 1988.
Quotes about theorem (16 Quotes)
I realized that anything to do with Fermat's Last Theorem generates too much interest.
A reply to Olbers' attempt in 1816 to entice him to work on Fermat's Theorem. I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.
But my shift to the serious study of economics gradually weakened my belief in Major Douglas's A+B theorem, which was replaced in my thought by the expression MV = PT.
To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
About Thomas Hobbes He was 40 years old before he looked on geometry which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and 'twas the 47 El. libri I' Pythagoras' Theorem. He read the proposition 'By God', sayd he, 'this is impossible' So he reads the demonstration of it, which referred him back to such a proposition which proposition he read. That referred him back to another, which he also read. Et sic deinceps, that at last he was demonstratively convinced of that truth. This made him in love with geometry.
That is why one day I said my game will be like the Pythagorean Theorem - hard to figure out. A lot of people really don't know the Pythagorean Theory. They don't make them like me anymore. They don't want to make them like that anymore.
Before beginning I should put in three years of intensive study, and I haven't that much time to squander on a probable failure. On why he didn't try to solve Fermat's last theorem.
Can the difficulty of an exam be measured by how many bits of information a student would need to pass it This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they.
How can you shorten the subject That stern struggle with the multiplication table, for many people not yet ended in victory, how can you make it less Square root, as obdurate as a hardwood stump in a pasturenothing but years of effort can extract it. You can't hurry the process. Or pass from arithmetic to algebra you can't shoulder your way past quadratic equations or ripple through the binomial theorem. Instead, the other way your feet are impeded in the tangled growth, your pace slackens, you sink and fall somewhere near the binomial theorem with the calculus in sight on the horizon. So died, for each of us, still bravely fighting, our mathematical training except for a set of people called 'mathematicians' born so, like crooks.
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
Our offense is like the pythagorean theorem: There is no answer!
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
Mathematics is not a deductive science that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
Words are the children of reason and, therefore, can't explain it. They really can't translate feeling because they're not part of it. That's why it bugs me when people try to analyze jazz as an intellectual theorem. It's not. It's feeling.
One cannot really argue with a mathematical theorem.