The search for mathematical roots, 1870-1940 : logics, set theories and the foundations of mathematics from Cantor through Russell to Gödel / I. Grattan-Guinness.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 1400814308
- 9781400814305
- 9781400824045
- 1400824044
- Arithmetic -- Foundations -- History -- 19th century
- Arithmetic -- Foundations -- History -- 20th century
- Set theory -- History -- 19th century
- Set theory -- History -- 20th century
- Logic, Symbolic and mathematical -- History -- 19th century
- Logic, Symbolic and mathematical -- History -- 20th century
- Arithmétique -- Fondements -- Histoire -- 19e siècle
- Arithmétique -- Fondements -- Histoire -- 20e siècle
- Théorie des ensembles -- Histoire -- 19e siècle
- Théorie des ensembles -- Histoire -- 20e siècle
- Logique symbolique et mathématique -- Histoire -- 19e siècle
- Logique symbolique et mathématique -- Histoire -- 20e siècle
- MATHEMATICS -- Pre-Calculus
- MATHEMATICS -- Reference
- MATHEMATICS -- Essays
- MATHEMATICS -- History & Philosophy
- Arithmetic -- Foundations
- Logic, Symbolic and mathematical
- Set theory
- 1800-1999
- 510 21
- QA248 .G684 2000eb
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (pages 594-669) and index.
Print version record.
Explanations -- Preludes : algebraic logic and mathematical analysis up to 1870 -- Cantor : mathematics as Mengenlehre -- Parallel processes in set theory, logics and axiomatics, 1870s-1900s -- Peano : the formulary of mathematics -- Russell's way in : from certainty to paradoxes, 1895-1903 -- Russell and Whitehead seek the Principia Mathematica, 1903-1913 -- The influence and place of logicism, 1910-1930 -- Postludes : mathematical logic and logicism in the 1930s -- The fate of the search -- Transcription of manuscripts.
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A.N. Whitehead in their Principia mathematica (1910-1913). This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys ar.
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