What Is Mathematical Logic? (eBook)

C.J. Ash, C.J. Brickhill, J. N. Crossley, J.C. Stillwell (Autoren)

eBook Download: EPUB

2012
96 Seiten
Dover Publications (Verlag)
978-0-486-15152-6 (ISBN)

Infos

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.

---

Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams began to converge in the seventeenth century with the invention of the calculus, which ultimately brought mathematics and logic together. The authors then briefly indicate how such relatively modern concepts as set theory, Gödel's incompleteness theorems, the continuum hypothesis, the Löwenheim-Skolem theorem, and other ideas influenced mathematical logic. The ideas are set forth simply and clearly in a pleasant style, and despite the book's relative brevity, there is much covered on these pages. Nonmathematicians can read the book as a general survey; students of the subject will find it a stimulating introduction. Readers will also find suggestions for further reading in this lively and exciting area of modern mathematics.

Autor

This volume's six chapters are edited versions of a series of lectures delivered at Australia's Monash University by five individuals: J. N. Crossley, C. J. Ash, C. J. Brickhill, J. C. Stillwell, and N. H. Williams.

Inhalt

Introduction1. Historical Survey2. The Completeness of Predicate Calculus3. Model Theory4. Turing Machines and Recursive Functions5. Gödel's Incompleteness Theorems6. Set Theory Some Suggestions for Further Reading Index

Produkt-Details

• Erscheint lt. Verlag: 29.8.2012
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: Archimedes • Aristotle • Axiom of choice • Calculus • Continuum Hypothesis • Euclid • Famous mathematicians • formal deduction • fun math • godels incompleteness theorems • godels proof • History of math • layperson • Logic • lowenheim skolem theorem • Math • Mathematical Analysis • Mathematics • math for non math • model Theory • natural numbers • Nonfiction • non mathematicians • Philosophy • popular math • Predicate Calculus • Recursive Functions • Reference • set theory • Turing Machines
• ISBN-10: 0-486-15152-2 / 0486151522
• ISBN-13: 978-0-486-15152-6 / 9780486151526