Second-order Arithmetic
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High Quality Content by WIKIPEDIA articles! Second-order arithmetic includes, but is significantly stronger than, its first-order counterpart Peano arithmetic. Unlike Peano arithmetic, second-order arithmetic allows quantification over sets of numbers as well as numbers themselves. Because real numbers can be represented as (infinite) sets of natural numbers in well-known ways, and because second order arithmetic allows quantification over such sets, it is possible to formalize the real numbers in second-order arithmetic. For this reason, second-order arithmetic is sometimes called analysis .
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130319427
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Genre Mathematik
- Größe H220mm x B150mm x T6mm
- Jahr 2010
- EAN 9786130319427
- Format Fachbuch
- ISBN 978-613-0-31942-7
- Titel Second-order Arithmetic
- Untertitel Second-order Arithmetic, Mathematical Logic, Axiom, Natural Number, Set Theory, Foundations of Mathematics, First-order Logic, Peano Axioms, Reverse Mathematics
- Gewicht 177g
- Herausgeber Betascript Publishers
- Anzahl Seiten 108
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