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Two Applications of Logic to Mathematics
Gaisi Takeuti
€ 110.87
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Description for Two Applications of Logic to Mathematics
Hardback. Series: Publications of the Mathematical Society of Japan. Num Pages: 148 pages, black & white illustrations. BIC Classification: PBCD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 235 x 155 x 10. Weight in Grams: 371.
Using set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to analysis by means of complete Boolean algebras of projections. In Part Two, he develops classical analysis including complex analysis in Peano's arithmetic, showing that any arithmetical theorem proved in analytic number theory is a theorem in Peano's arithmetic. In doing so, the author ... Read more
Using set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to analysis by means of complete Boolean algebras of projections. In Part Two, he develops classical analysis including complex analysis in Peano's arithmetic, showing that any arithmetical theorem proved in analytic number theory is a theorem in Peano's arithmetic. In doing so, the author ... Read more
Product Details
Format
Hardback
Publication date
2020
Publisher
Princeton University Press United States
Number of pages
148
Condition
New
Series
Publications of the Mathematical Society of Japan
Number of Pages
148
Place of Publication
New Jersey, United States
ISBN
9780691638379
SKU
V9780691638379
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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