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Set theory and its philosophy : a critical introduction / Michael Potter.
- Format:
- Book
- Author/Creator:
- Potter, Michael D., author.
- Language:
- English
- Subjects (All):
- Set theory--Philosophy.
- Set theory.
- Physical Description:
- 1 online resource (xiii, 345 pages) : illustrations
- Place of Publication:
- Oxford ; New York : Oxford University Press, 2004.
- Language Note:
- English
- Summary:
- Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates.
- Contents:
- Logic
- Collections
- The hierarchy
- The theory of sets
- Arithmetic
- Counting
- Lines
- Real numbers
- Cardinals
- Basic cardinal arithmetic
- Ordinals
- Ordinal arithmetic
- Orders of infinity
- The axiom of choice
- Further cardinal arithmetic.
- Notes:
- Includes bibliographical references (p. [317]-335) and indexes.
- Description based on print version record.
- ISBN:
- 0-19-927041-4
- 1-280-75496-6
- 0-19-155643-2
- 1-4237-8885-0
- OCLC:
- 437109204
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