Granström, Johan Georg.
Treatise on Intuitionistic Type Theory [electronic resource] / by Johan Georg Granström, Johan Georg Granström. - XIV, 198 p. online resource. - Logic, Epistemology, and the Unity of Science ; 22 . - Logic, Epistemology, and the Unity of Science ; 22 .
Intuitionistic type theory can be described, somewhat boldly, as a fulfillment of the dream of a universal language for science. In particular, intuitionistic type theory is a foundation for mathematics and a programming language. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.
9789400717367
10.1007/978-94-007-1736-7 doi
Philosophy (General).
Genetic epistemology.
Logic.
Logic design.
Algorithms.
Logic, Symbolic and mathematical.
Philosophy.
Epistemology.
Mathematical Logic and Foundations.
Logics and Meanings of Programs.
Logic.
History of Philosophy.
Algorithms.
BD143-237
120
Treatise on Intuitionistic Type Theory [electronic resource] / by Johan Georg Granström, Johan Georg Granström. - XIV, 198 p. online resource. - Logic, Epistemology, and the Unity of Science ; 22 . - Logic, Epistemology, and the Unity of Science ; 22 .
Intuitionistic type theory can be described, somewhat boldly, as a fulfillment of the dream of a universal language for science. In particular, intuitionistic type theory is a foundation for mathematics and a programming language. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.
9789400717367
10.1007/978-94-007-1736-7 doi
Philosophy (General).
Genetic epistemology.
Logic.
Logic design.
Algorithms.
Logic, Symbolic and mathematical.
Philosophy.
Epistemology.
Mathematical Logic and Foundations.
Logics and Meanings of Programs.
Logic.
History of Philosophy.
Algorithms.
BD143-237
120