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The Foundations of Mathematics (Logic S.) de Kenneth Kunen
Descripción - Reseña del editor Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H(?) and R(?). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Gödel, and Tarski's theorem on the non-definability of truth.
A mathematical introduction to logic enderton, herbert this is not the essence of mathematical logic but to enderton, they appear to be the fields firstclass content i found it difficult to see the forest for the trees in this book i would have much preferred to see examples of deduction proofs with exercises in making use of axioms of natural deduction, discharged assumptions, etc and a brief discussion of completeness up front Logic amp foundations of mathematics, mathematics, books logic amp foundations of mathematics 1 20 of 1804 results grid view grid list view list add to wishlist quickview godel, escher, bach an by douglas r hofstadter paperback 2249 2499 current price is 2249, original price is 2499 Lógica ebook carlos e alchourron descargar libro pdf descargar libro lógica ebook del autor carlos e alchourron isbn 9788498793925 en pdf o epub completo al mejor precio, leer online gratis la sinopsis o resumen, opiniones, críticas y comentarios
Mathematical logic and the foundations of mathematics an mathematical logic and the foundations of mathematics an introductory survey dover books on mathematics kneebone, g t libros en idiomas extranjeros Google libros haz búsquedas en el mayor catálogo de libros completos del mundo mi colección editores información privacidad términos ayuda información privacidad términos ayuda Book on the rigorous foundations of mathematics logic and i am asking for a book that develops the foundations of mathematics, up to the basic analysis functions, real numbers etc in a very rigorous way, similar to hilberts programhaving read this question where to begin with foundations of mathematics i understand that this book must have propositional logic
Detalles del Libro
- Name: The Foundations of Mathematics (Logic S.)
- Autor: Kenneth Kunen
- Categoria: Libros,Libros universitarios y de estudios superiores,Humanidades
- Tamaño del archivo: 8 MB
- Tipos de archivo: PDF Document
- Idioma: Español
- Archivos de estado: AVAILABLE
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The foundations of arithmetic a logicomathematical it will be welcomed by all who are interested in mathematical logic and the foundations of mathematics freges style of exposition is a model for all who think and write about abstract topics mind there can be no doubt about the greatness of this work philosophy Le libros descargar libros en pdf, epub y mobi leer el mejor lugar para descargar o leer en línea los mejores libros en pdf, epub y mobi Logic pro x ebook david nahmani descargar libro pdf o descargar libro logic pro x ebook del autor david nahmani isbn 9783944165639 en pdf o epub completo al mejor precio, leer online gratis la sinopsis o resumen, opiniones, críticas y comentarios
The logical foundations of mathematics sciencedirect david hilberts program and kurt gödels incompleteness theorems are also examined, along with the foundational systems of w v quine and the relevance of categorical algebra for foundations this monograph will be of interest to students, teachers, practitioners, and researchers in mathematics Series studies in logic and the foundations of mathematics series studies in logic and the foundations of mathematics studies in logic publishes monographs and occasionally edited volumes in the area of mathematical logic and its applications most recent volume volume 103 the lambda calculus published 11th september 2014 author hp barendregt the revised edition Logic from foundations to applications european logic logic from foundations to applications european logic colloquium oxford science publications hodges, wilfrid, hyland, martin, steinhorn, charles, truss
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