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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 10,188 of 10,432    |
|    Richard Fateman to All    |
|    Re: comment on fundamental design of Map    |
|    01 Dec 21 17:23:01    |
      From: fateman@gmail.com              Regarding Waldek's note -- about the undecidability of central problems in       mathematics that require determining whether an expression is zero or not...       (Results due to Daniel Richardson, 1968 or so).       I don't consider this a design flaw in the systems that people build. It is a       fundamental limitation in the mechanization of mathematics. One that cannot be       remedied by a better design. Unless you design a system that is so       constrained (say, to integer        arithmetic) that Richardson's results don't hold.              This issue about mechanization goes back to Russell and Whitehead, and       actually a good deal before that.        Analogously, Godel's theorem, while in some sense devastating, hardly stopped       mathematicians from doing mathematics.              RJF              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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