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Probabilities --- Chance --- Induction (Mathematics) --- Probabilités --- Hasard --- Induction (Mathématiques) --- History --- Histoire --- Probabilités --- Induction (Mathématiques)
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"Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory. It touches on topics as seemingly distant as the homotopy groups of spheres, the algorithms for type checking, and the definition of weak ∞-groupoids. Homotopy type theory offers a new “univalent” foundation of mathematics, in which a central role is played by Voevodsky’s univalence axiom and higher inductive types. The present book is intended as a first systematic exposition of the basics of univalent foundations, and a collection of examples of this new style of reasoning — but without requiring the reader to know or learn any formal logic, or to use any computer proof assistant. We believe that univalent foundations will eventually become a viable alternative to set theory as the “implicit foundation” for the unformalized mathematics done by most mathematicians."
Homotopy theory. --- Logic, Symbolic and mathematical. --- Homotopy equivalences. --- Induction (Mathematics) --- Homotopie. --- Logique mathématique. --- Équivalences d'homotopie. --- Induction (mathématiques)
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Probabilities --- Induction (Mathematics) --- Mathematical statistics --- Probabilités --- Induction (Mathématiques) --- Statistique mathématique --- History --- Histoire --- Probabilites --- Induction (Mathematiques) --- Statistique mathematique --- Histoire. --- Probabilités --- Induction (Mathématiques) --- Statistique mathématique --- Probabilites - Histoire --- Induction (Mathematiques) - Histoire --- Statistique mathematique - Histoire --- Probabilities - History --- Induction (Mathematics) - History --- Mathematical statistics - History --- Aspect social
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Probabilities --- Induction (Mathematics) --- Probabilités --- Induction (Mathématiques) --- INDUCTION (Mathematics) --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Mathematical induction --- Induction (Logic) --- Probabilities. --- Induction (Mathematics). --- Probabilités --- Induction (Mathématiques) --- Epistemics. --- Logique épistémique. --- Probabilités. --- Epreuve d'hypothese
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Category theory. Homological algebra --- 515.14 --- Functor theory --- Homology theory --- Induction (Mathematics) --- Mathematical induction --- Induction (Logic) --- Mathematics --- Cohomology theory --- Contrahomology theory --- Algebraic topology --- Functorial representation --- Algebra, Homological --- Categories (Mathematics) --- Functional analysis --- Transformations (Mathematics) --- 515.14 Algebraic topology --- Functor theory. --- Homology theory. --- Foncteurs, Théorie des --- Induction (mathématiques) --- Homologie --- Foncteurs, Théorie des. --- Homologie.
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681.3*I23 <063> --- 681.3*I23 <063> Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence)--Congressen --- Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence)--Congressen --- Induction (mathématiques) --- Induction (Mathematics) --- Programmation logique. --- Logic programming. --- Intelligence artificielle. --- Artificial intelligence. --- Induction (mathématiques)
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Provability, Computability and Reflection
Mathematical logic --- Recursion theory --- Théorie de la récursivité --- Congresses --- Congrès --- ELSEVIER-B EPUB-LIV-FT --- Congresses. --- Recursive Functions --- Logic, Symbolic and mathematical --- Proof theory. --- Mathematics --- Abstract structures --- Inductive definability. --- 510.6 --- 510.67 --- Logique mathématique --- Récursivité, Théorie de la --- Mathématiques --- 510.67 Theory of models --- Theory of models --- 510.6 Mathematical logic --- Logique mathématique. --- Récursivité, Théorie de la. --- Induction (mathématiques) --- Logic, Symbolic and mathematical. --- Recursion theory. --- Induction (Logic) --- Recursive functions. --- Induction (Mathematics) --- Proof theory --- Théorie de la preuve --- Recursive functions --- Fonctions récursives --- Induction (Mathématiques) --- Mathematical induction --- Functions, Recursive --- Algorithms --- Arithmetic --- Number theory --- Decidability (Mathematical logic) --- Foundations --- 510.22 --- 510.22 Set theory. Set theoretic approach. Theory of order types, of ordinal and cardinal numbers --- Set theory. Set theoretic approach. Theory of order types, of ordinal and cardinal numbers --- Logique mathematique --- Theorie de la preuve --- Théorie des modèles --- Set theory --- Théorie des ensembles --- Cardinal numbers. --- Nombres cardinaux --- Logique mathématique --- Philosophy --- Philosophy & Religion --- Logic
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