One should not be deceived by philosophical works that pretend to be mathematical, but are merely dubious and murky metaphysics. Just because a philosopher can recite the words lemma, theorem and corollary doesn't mean that his work has the certainty of mathematics. That certainty does not derive from big words, or even from the method used by geometers, but rather from the utter simplicity of the objects considered by mathematics.
Pierre Louis MaupertuisRelated topics
certainty corollary mathematics mean metaphysics pretend should theorem work works wordsRelated quotes
When you lie, you lie to God; when you steal, you steal from God; when you have hatred for someone, you have hatred for God; when you don't honor your parents, you don't honor God; when you are jealous, you are jealous of God; when you begrudge alms to the poor, you begrudge recompense to God; when you plot evil, you plot it against God; when you work evil, you work evil against God.
Nikolaj Velimirovic
It was my wish to present this great subject as an illustration of the itermingling of philosophical, mathematical, and physical thought, a study which is dear to my heart. This could be done only by building up the theory systematically from the foundations, and by restricting attention throughout to the principles. But I have not been able to satisfy these self-imposed requirements: the mathematician predominates at the expense of the philosopher.
Hermann Weyl
Mass psychology is not simply a summation of individual psychologies; that is a prime theorem of social psychodynamics-not just my opinion; no exception has ever been found to this theorem. It is the social mass-action rule, the mob-hysteria law, known and used by military, political, and religious leaders, by advertising men and prophets and propagandists, by rabble rousers and actors and gang leaders, for generations before it was formulated in mathematical symbols. It works.
Robert A. Heinlein
Gödel's theorem shows conclusively that in pure mathematics reductionism does not work. To decide whether a mathematical statement is true, it is not sufficient to reduce the statement to marks on paper and to study the behavior of the marks. Except in trivial cases, you can decide the truth of a statement only by studying its meaning and its context in the larger world of mathematical ideas.
Freeman Dyson
I used to stay up very late at night, much later than I probably should have for such a youngster, and I used to watch very old black-and-white movies with, you know, Bette Davis and Joan Crawford, but I remember watching them thinking 'I could do that'... Even though I wasn't inclined at all to actually become an actress. I mean, that wasn't something that was... in the stars for me, no pun intended.
Michelle Pfeiffer