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This new edition of the book gives an introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics, for example Brouwer's proof of the Bar Theorem, valuation systems, and the completeness of intuitionistic first-order logic, have been completely revised. Readership: Researchers and second/third year undergraduate and graduate students in mathematical logic and philosophy of mathematics.
This text investigates the foundational principles of intuitionistic mathematics and the philosophical framework that distinguishes it from classical mathematical logic. Sir Michael Dummett, a prominent philosopher of language and logic, provides a rigorous examination of intuitionistic systems. He utilizes historical context and formal logical proofs to argue for the validity of intuitionistic approaches, specifically addressing how these methods challenge traditional mathematical assumptions. The book serves as a bridge between abstract philosophical inquiry and concrete mathematical application.
What You Will Find
Experts and academics recognize this work as a foundational text for students and researchers in mathematical logic. Readers frequently note the high level of technical density, which requires a strong background in formal logic to fully comprehend the arguments presented.
Page Count:
467
Publication Date:
1977-01-01
Publisher:
Oxford Univ Pr
ISBN-10:
0198531583
ISBN-13:
9780198531586
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