A Critique of the Diagonal Method
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Description: Problems with transfinite theory, and a suggestion for creating a new, richer definition of the infinite.
A Critique of the Diagonal Method A Critique of the Diagonal Method But let us remember that we are dealing with infinities and indivisibles, both of which transcend our finite understanding... The diagonal method is said to do an amazing thing. It is said to prove that, while the rational numbers are "denumerable" the real numbers are not. This dichotomy between the rational and reals is considered the basis of arithmetic, calculus and all higher mathematics.
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| Page title: | A Critique of the Diagonal Method |
| Keywords: | diagonal method, transfinite theory, intuitionism, new math, paradoxes |
| Description: | The diagonal method is a version of the liars paradox. Transfinite theory makes this and Galileo's paradox the pillars of new math. |
| IP-address: | 69.89.25.200 |
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| Date | Creation Date: 17-jan-2000 Expiration Date: 17-jan-2015 |