It is impossible to discuss realism in logic without drawing in the empirical sciences. . . A truly … - Hermann Weyl

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Maybe I am becoming a hermit, opening the door for only a few special animals? Maybe my skull is too crowded and it has no opening through which to feed it soup?

Hermann Weyl

It is impossible to discuss realism in logic without drawing in the empirical sciences. . . A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one real world and should adopt the same sober and cautious attitude toward hypothetic extensions of its foundation as is exhibited by physics.

Attitude, Real, Drawing, Sciences, Construction

Same Author Quotes

Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the universal organ for world understanding through theoretical construction. Mathematics must therefore remain an essential element of the knowledge and abilities which we have to teach, of the culture we have to transmit, to the next generation.

Creative, Manifestations, Math, Power, Teaching, Universal

Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.

Logic, Math, Mathematician, Practice, Practices, Strong

The introduction of numbers as coordinates is an act of violence.

Coordinates, Math, Numbers, Violence

Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature.

Essence, Freedom, Layman, Math, Mathematics, Thinking

God exists because arithmetic is consistent - the Devil exists because we can't prove it!

Arithmetic, Consistent, Exists, Faith, God, Hope