Chester Martin (512) 923-1137

Thoughts on Mathematics and Logic.

Logic is invincible, because in order to combat logic it is necessary to use logic.  
                                                            Pierre Leon Boutroux

In mathematics the art of proposing a question must be held of higher value than solving it.
                                                            Georg Cantor

You can only find truth with logic if you have already found truth without it.
                                                            Gilbert Keith Chesterton

Thus metaphysics and mathematics are, among all the sciences that belong to reason, those in which imagination has the greatest role.
                                                            Jean D'Alembert

How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects of reality?
                                                            Albert Einstein

Reason's last step is the recognition that there are an infinite number of things which are beyond it.
                                                            Blaise Pascal

[Mathematics] is an independent world created out of pure intelligence.
                                                            William Wordsworth

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
                                                            Bertrand Russell

The authority of those who teach is often an obstacle to those who want to learn.
                                                            Cicero

A little nonsense now and then is relished by the wisest men.
                                                            Roald Dahl

Whoever undertakes to set himself up as a judge of Truth and Knowledge is shipwrecked by the laughter of the gods.
                                                            Albert Einstein

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