Transfinite number — Transfinite numbers are cardinal numbers or ordinal numbers that are larger than all finite numbers, yet not necessarily absolutely infinite. The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the… … Wikipedia
transfinite induction — The proof schema corresponding to ordinary mathematical induction taken into the transfinite, i.e. defined over orderings that may be larger than the standard ordering of the set of all natural numbers. Gentzen showed that if this operation is… … Philosophy dictionary
arithmetic — noun Etymology: Middle English arsmetrik, from Anglo French arismatike, from Latin arithmetica, from Greek arithmētikē, from feminine of arithmētikos arithmetical, from arithmein to count, from arithmos number; akin to Old English rīm number, and … New Collegiate Dictionary
Ordinal arithmetic — In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an… … Wikipedia
Intuitionism — This article is about Intuitionism in mathematics and philosophical logic. For other uses, see Ethical intuitionism. In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as … Wikipedia
List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie … Wikipedia
Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… … Wikipedia
Alexander Abian — (January 1, 1923–July 1999) was an American mathematician who taught for many years at Iowa State University but who became an internet legend for his incessant and frequently bizarre posts to various UseNet newsgroups.LifeAbian was born in… … Wikipedia
Alexander Abian — (* 1. Januar 1923 als Smbat Abian in Täbris, Ost Aserbaidschan; † 25. Juli 1999) war ein US amerikanischer Mathematiker iranisch armenischer Abstammung mit Professur an der Iowa State University. Abian ist in erster Linie bekannt für seinen… … Deutsch Wikipedia
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