Set Theory, Logic and Their Limitations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory, Logic and Their Limitations write by Moshe Machover. This book was released on 1996-05-23. Set Theory, Logic and Their Limitations available in PDF, EPUB and Kindle. This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.
Set Theory, Logic and Their Limitations
Set Theory, Logic and Their Limitations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Set Theory, Logic and Their Limitations write by Moshé Machover. This book was released on 1998. Set Theory, Logic and Their Limitations available in PDF, EPUB and Kindle.
Cantorian Set Theory and Limitation of Size
Cantorian Set Theory and Limitation of Size - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cantorian Set Theory and Limitation of Size write by Michael Hallett. This book was released on 1986. Cantorian Set Theory and Limitation of Size available in PDF, EPUB and Kindle. Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems in Set Theory, Mathematical Logic and the Theory of Algorithms write by Igor Lavrov. This book was released on 2003-03-31. Problems in Set Theory, Mathematical Logic and the Theory of Algorithms available in PDF, EPUB and Kindle. Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.
An Introduction to Proof Theory
An Introduction to Proof Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Proof Theory write by Paolo Mancosu. This book was released on 2021. An Introduction to Proof Theory available in PDF, EPUB and Kindle. An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.
