Famous Quotes & Sayings

Herbert S. Gaskill Quotes & Sayings

Enjoy the top 2 famous quotes, sayings and quotations by Herbert S. Gaskill.

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Famous Quotes By Herbert S. Gaskill

Herbert S. Gaskill Quotes 1811796

It is an unfortunate fact that proofs can be very misleading. Proofs exist to establish once and for all, according to very high standards, that certain mathematical statements are irrefutable facts. What is unfortunate about this is that a proof, in spite of the fact that it is perfectly correct, does not in any way have to be enlightening. Thus, mathematicians, and mathematics students, are faced with two problems: the generation of proofs, and the generation of internal enlightenment. To understand a theorem requires enlightenment. If one has enlightenment, one knows in one's soul why a particular theorem must be true. — Herbert S. Gaskill

Herbert S. Gaskill Quotes 2164464

One can be enlightened about proofs as well as theorems. Without enlightenment, one is merely reduced to memorizing proofs. With enlightenment about a proof, its flow becomes clear and it can become an item of astonishing beauty. In addition, the need to memorize disappears because the proof has become part of your soul. — Herbert S. Gaskill