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History of type theory
open-in-new
<p>The <a href="/facts/Type_theory/xj0xzVqI">type theory</a> was initially created to avoid paradoxes in a variety of formal <a href="/facts/Mathematical_logic/SaI7Y3wN">logics</a> and <a href="/facts/Rewrite_system/9PHlnnnJ">rewrite systems</a>. Later, type theory referred to a class of <a href="/facts/Formal_systems/KaeDAjK7">formal systems</a>, some of which can serve as alternatives to <a href="/facts/Naive_set_theory/hYIC5xPf">naive set theory</a> as a foundation for all mathematics. </p><p>It has been tied to formal mathematics since <i><a href="/facts/Principia_Mathematica/7ufeceV4">Principia Mathematica</a></i> to today's <a href="/facts/Proof_assistant/hjFGxLPn">proof assistants</a>. </p>