Principia Mathematica: Difference between revisions

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==Behind the scenes==
[[Bertrand Russell]] and [[Alfred North Whitehead]] wrote Principia Mathematica as a three volume work, attempting to show that mathematics could be deduced from a minimized set of axioms and inference rules, solving paradoxes that had at that time been plaguing the foundations of mathematics, using a specific mathematical theory of {{w|Type theory|types}}. A fourth volume was planned to be written by Whitehead on geometry, as well as rebuttals to criticisms, however, [[Kurt Gödel]] published his first and second [[incompleteness theorems]] in his [[1931]] paper ''On Formally Undecidable Propositions in Principia Mathematica and Related Systems I'', which spelled the end for this project.
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