George Pólya - Learn Quotes

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Everyone knows that mathematics offers an excellent opportunity to learn demonstrative reasoning, but I contend also that there is no other subject in the usual curricula of the schools that affords a comparable opportunity to learn plausible reasoning.... let us learn proving, but also let us learn guessing.

George Pólya

Demonstrative reasoning penetrates the sciences just as far as mathematics does, but it is in itself (as mathematics is in itself) incapable of yielding essentially new knowledge about the world around us. Anything new that we learn about the world involves plausible reasoning, which is the only kind of reasoning for which we care in everyday affairs.

George Pólya

If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems.

George Pólya