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There is a page named "Transfinite number" on Wikipedia
- In mathematics, transfinite numbers or infinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers. These...10 KB (1,230 words) - 01:37, 12 June 2024
- defined the transfinite ordinal numbers and transformed the infinite indices into ordinals by replacing ∞ with ω, the first transfinite ordinal number. Cantor...47 KB (6,717 words) - 10:52, 24 July 2024
- Transfinite may refer to: Transfinite number, a number larger than all finite numbers, yet not absolutely infinite Transfinite induction, an extension...521 bytes (95 words) - 19:07, 2 May 2023
- Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers. Its...8 KB (1,141 words) - 20:15, 8 October 2023
- where ω is a transfinite number greater than all integers and ε is an infinitesimal greater than 0 but less than any positive real number. Moreover, the...75 KB (11,433 words) - 14:08, 29 August 2024
- general, but all its elements do.) Beth number Gimel function Regular cardinal Infinity Transfinite number Ordinal number In older mathematics books, the letter...16 KB (1,960 words) - 12:52, 27 August 2024
- numbers are a certain sequence of infinite cardinal numbers (also known as transfinite numbers), conventionally written ℶ 0 , ℶ 1 , ℶ 2 , ℶ 3 , … {\displaystyle...13 KB (2,227 words) - 02:51, 19 June 2024
- function F at a finite number of distinct points, these methods match F at a non-denumerable (transfinite) number of points. Transfinite interpolation is similar...3 KB (453 words) - 06:31, 11 July 2019
- published a book about his new set theory, introducing, among other things, transfinite numbers and formulating the continuum hypothesis. In the 1960s, Abraham...62 KB (7,747 words) - 16:25, 16 August 2024
- interest, a fact he was well aware of. Originally, Cantor's theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused...83 KB (10,006 words) - 09:26, 30 August 2024
- number line. Aleph null Suslin's problem Transfinite number Weisstein, Eric W. "Continuum". mathworld.wolfram.com. Retrieved 2020-08-12. "Transfinite...2 KB (278 words) - 20:47, 11 March 2024
- 879–90. doi:10.1137/0513062. Erdos, P.; Gillis, J. (2009). "Note on the Transfinite Diameter". Journal of the London Mathematical Society. s1-12 (3): 185...26 KB (2,246 words) - 10:40, 1 August 2024
- Philip Jourdain (ed.). Contributions to the Founding of the Theory of Transfinite Numbers. New York: Dover. ISBN 978-0-486-60045-1. Kurt Von Fritz (1945)...39 KB (5,252 words) - 15:03, 28 June 2024
- cardinal number. This cardinal number is called ℵ 0 {\displaystyle \aleph _{0}} , aleph-null. He called the cardinal numbers of infinite sets transfinite cardinal...26 KB (3,808 words) - 01:08, 27 April 2024
- number Algebraic number Transcendental number Hypercomplex number Transfinite number Indefinite and fictitious numbers Mean Weighted mean Median Mode Range...5 KB (402 words) - 15:10, 17 December 2023
- "Zur Einführung der transfiniten Zahlen" [On the Introduction of the Transfinite Numbers]. Acta Litterarum AC Scientiarum Ragiae Universitatis Hungaricae...53 KB (5,922 words) - 13:30, 22 August 2024
- Transcomputational problem – Class of computational problems Transfinite number – Number that is larger than all finite numbers Zeno machine – Hypothetical...17 KB (2,386 words) - 18:56, 10 August 2024
- {\displaystyle \aleph _{0}} (the cardinal number of the infinite set of integers 1, 2, ...), the smallest cardinal transfinite number. The Jains also defined a whole...21 KB (2,620 words) - 11:39, 18 August 2024
- {c}}=\beth _{2}} (beth two) Cardinal characteristic of the continuum "Transfinite number | mathematics". Encyclopedia Britannica. Retrieved 2020-08-12. Weisstein...16 KB (2,373 words) - 14:10, 10 July 2024
- Ordinal arithmetic (redirect from Transfinite arithmetic)well-ordered set that represents the result of the operation or by using transfinite recursion. Cantor normal form provides a standardized way of writing...36 KB (4,957 words) - 14:24, 29 August 2024
- an article on: transfinite number Wikipedia transfinite number (plural transfinite numbers) (set theory) Any cardinal or ordinal number which is larger
- Contributions to the Founding of the Theory of Transfinite Numbers (1915) by Georg Cantor, translated by Philip E. B. Jourdain Article I. Georg
- call the cardinal number related to that 'Aleph-null', in symbol, ℵ0 … Georg Cantor: Contributions to the Foundation of Transfinite Set Theory (Beiträge
- natural numbers and the real numbers. Cantor came up with a number system for transfinite numbers. He called the smallest infinity ℵ 0 {\displaystyle