17 — Le programme de Hilbert
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17 — Le programme de Hilbert
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the incompleteness theorem is a philosophical impossibility result and its implications for nearly everyone are philosophical. the point is that hilbert's program to reduce mathematical truth to the output of an algorithm is impossible in a strong and robust sense, which means nobody should waste their time trying to do this. impossibility results tell you what *not* to do! similarly thermodyamics tells you *not* to waste time trying to invent perpetual motion machines, etc. philosophically hilb
1:21
the incompleteness theorem is a philosophical impossibility result and its implications for nearly everyone are philosophical. the point is that hilbert's program to reduce mathematical truth to the output of an algorithm is impossible in a strong and robust sense, which means nobody should waste their time trying to do this. impossibility results tell you what *not* to do! similarly thermodyamics tells you *not* to waste time trying to invent perpetual motion machines, etc. philosophically hilb
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