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neilmadden.blog | ||
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nickdrozd.github.io
Goedel's first incompleteness theorem is the claim that any sound, consistent formal system of sufficient power is incomplete; that is, there are statements in the language of the system that can neither be proved nor disproved. Traditionally the theorem is proved by exhbiting a statement g which is provably equivalent to a statement encoding its own disprovability in the system S. |
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www.logicmatters.net
As I said some weeks ago, I am slowly revising my Introduction to Gödel's Theorems; I am still only about a third of the way through. I haven't yet spotted any real horrors, but I've found some ways of re-arranging the material for the better, and there are quite a few sections which now strike [...] |
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dvt.name
Gödel's incompleteness theorems have been hailed as "the greatest mathematical discoveries of the 20th century" - indeed, the theorems apply not only to mathematics, but all formal systems and have deep implications for science, logic, computer science, philosophy, and so on. In this post, I'll give a simple but rigorous sketch of Gödel's First Incompleteness ... |
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uncommongenders.home.blog
There is lettragender! -Admin Opal |
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