Provability, Computability and Reflection, Volume 72 (Studies in Logic and the Foundations of Mathematics)

Science & Math

Beklemishev, Lev D.

Mathematics

Elsevier Science

Provability, Computability and Reflection, Volume 76 (Studies in Logic and the Foundations of Mathematics)

Politics & Social Sciences

Philosophy

Provability, Computability and Reflection, Volume 34 (Studies in Logic and the Foundations of Mathematics)

Provability, Computability and Reflection, Volume 53 (Studies in Logic and the Foundations of Mathematics)

A classic introduction to mathematical logic from the perspective of category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers. Its approach moves always from the particular to the general, following through the steps of the abstraction process until the abstract concept emerges naturally.Beginning with a survey of set theory and its role in mathematics, the text proceeds to definitions and examples of categories and explains the use of arrows in place of set-membership. The introduction to topos structure covers topos logic, algebra of subobjects, and intuitionism and its logic, advancing to the concept of functors, set concepts and validity, and elementary truth. Explorations of categorial set theory, local truth, and adjointness and quantifiers conclude with a study of logical geometry.

Provability, Computability and Reflection, Volume 98 (Studies in Logic and the Foundations of Mathematics)

Provability, Computability and Reflection, Volume 102 (Studies in Logic and the Foundations of Mathematics)

Provability, Computability and Reflection, Volume 99 (Studies in Logic and the Foundations of Mathematics)

Provability, Computability and Reflection, Volume 103 (Studies in Logic and the Foundations of Mathematics)

Provability, Computability and Reflection, Volume 65 (Studies in Logic and the Foundations of Mathematics)

Provability, Computability and Reflection, Volume 62 (Studies in Logic and the Foundations of Mathematics)

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Books by Beklemishev, Lev D.