langreiter.com plain, simple: 2004-06-12-metaMath

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2004-06-12-metaMath

CREATED BY chris • LAST EDITED BY chris 7498 days AGO

Gregory Chaitin: Meta Math!

"Mathematicians this century have [...] made the fatal mistake of gradually eliminating all words from their papers."

"Let me repeat: formal axiomatic systems are a failure! Theorem proving algorithms do not work. One can publish papers about them, but they only prove trivial theorems. And in the case-histories in this book, we’ve seen that the essence of math resides in its creativity, in imagining new concepts, in changing viewpoints, not in mindlessly and mechanically grinding away deducing all the possible consequences of a fixed set of rules and ideas."

"On the other hand, a way to minimize the debugging problem is to try at all costs to keep software intellectually manageable, as illustrated by my discussion of Lisp. In our IBM project, I did this by re-writing all my code from scratch each time that I advanced in my understanding of the problem."

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