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Type Theory

  • Stefan Müller-Stach

摘要

From the discovery of the antinomiesAntinomy of set theorySet theory, Bertrand RussellRussell, Bertrand concluded that a hierarchy of mathematical objects is necessary. As a solution, he invented type theoryType theory. His ideas were incorporated into the book “Principia mathematica” with Alfred North WhiteheadWhitehead, Alfred North. The presentation therein seemed complicated and initially did not catch on.