How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library) by G. Polya

Author:G. Polya
Language: eng
Format: mobi, azw
Publisher: Princeton University Press
Published: 2014-10-25T21:00:00+00:00

Inventor’s paradox. The more ambitious plan may have more chances of success.

This sounds paradoxical. Yet, when passing from one problem to another, we may often observe that the new, more ambitious problem is easier to handle than the original problem. More questions may be easier to answer than just one question. The more comprehensive theorem may be easier to prove, the more general problem may be easier to solve.

The paradox disappears if we look closer at a few examples (GENERALIZATION, 2; INDUCTION AND MATHEMATICAL INDUCTION, 7). The more ambitious plan may have more chances of success provided it is not based on mere pretension but on some vision of the things beyond those immediately present.

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