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Introduction to Logic and to the Methodology of Deductive Sciences

Author : Alfred Tarski
Publisher : Martino Fine Books
Page : 258 pages
File Size : 43,82 MB
Release : 2013-12
Category : Philosophy
ISBN : 9781614275404

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2013 Reprint of 1941 Revised and Enlarged Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. Tarski is considered one of the five greatest logicians of all time, alongside Aristotle (384-322 BCE), Boole (1815-1864), Frege (1848-1925) and Godel. This book, together with Aristotle's "Prior Analytics" and Boole's "Laws of Thought," should form the core of any logic library. This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. A thought-provoking introduction to the fundamentals and the perfect adjunct to courses in logic and the foundations of mathematics. Exercises appear throughout.

Introduction to Logic

Author : Alfred Tarski
Publisher : Courier Corporation
Page : 271 pages
File Size : 11,40 MB
Release : 2013-07-04
Category : Mathematics
ISBN : 0486318893

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This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.

Introduction to Logic and to the Methodology of the Deductive Sciences

Author : Alfred Tarski
Publisher : Oxford University Press, USA
Page : 254 pages
File Size : 34,55 MB
Release : 1994
Category : Arithmetic
ISBN : 019504472X

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Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The second part of the book shows the applications of logic in mathematical theory building with concrete examples that draw upon the concepts and principles presented in the first section. Numerous exercises and an introduction to the theory of real numbers are also presented. Students, teachers and general readers interested in logic and mathematics will find this book to be an invaluable introduction to the subject.

Foundations of Mathematical Logic

Author : Haskell Brooks Curry
Publisher : Courier Corporation
Page : 420 pages
File Size : 35,27 MB
Release : 1977-01-01
Category : Mathematics
ISBN : 9780486634623

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Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.

Leśniewski's Systems of Logic and Foundations of Mathematics

Author : Rafal Urbaniak
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 19,95 MB
Release : 2013-09-24
Category : Science
ISBN : 3319004824

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This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.​