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) - 01:40, 24 March 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 |
general, but all its elements do.) Beth number Gimel function Regular cardinal Transfinite number Ordinal number In older mathematics books, the letter... 16 KB (1,953 words) - 21:09, 23 April 2024 |
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 (11,406 words) - 10:29, 11 April 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... 10 KB (1,522 words) - 21:28, 11 March 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 (443 words) - 06:31, 11 July 2019 |
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 (9,976 words) - 01:45, 26 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 |
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 |
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 (5,253 words) - 08:46, 4 April 2024 |
"Zur Einführung der transfiniten Zahlen" [On the Introduction of the Transfinite Numbers]. Acta Litterarum AC Scientiarum Ragiae Universitatis Hungaricae... 48 KB (5,485 words) - 11:10, 9 April 2024 |
number Negative number, Positive number, Parity (mathematics) Prime number, Composite number Non-standard numbers, including: Infinity, transfinite number... 16 KB (1,429 words) - 13:22, 23 April 2024 |
transfinite 1. An infinite ordinal or cardinal number (see Transfinite number) 2. Transfinite induction is induction over ordinals 3. Transfinite recursion... 91 KB (11,505 words) - 23:41, 27 April 2024 |
{c}}=\beth _{2}} (beth two). Cardinal characteristic of the continuum "Transfinite number | mathematics". Encyclopedia Britannica. Retrieved 2020-08-12. Weisstein... 16 KB (2,375 words) - 21:06, 30 March 2024 |
Transcomputational problem – Class of computational problems Transfinite number – Number that is larger than all finite numbers Zeno machine – Hypothetical... 17 KB (2,383 words) - 13:56, 26 June 2023 |
In mathematics, the epsilon numbers are a collection of transfinite numbers whose defining property is that they are fixed points of an exponential map... 14 KB (2,075 words) - 18:25, 23 April 2024 |
Set theory (redirect from Transfinite set theory) are nested. Each set in this hierarchy is assigned (by transfinite recursion) an ordinal number α {\displaystyle \alpha } , known as its rank. The rank... 41 KB (5,015 words) - 18:36, 22 April 2024 |
arithmetic. While ST is silent as to whether there is a maximal type, a transfinite number of types poses no difficulty. These facts, reminiscent of the Peano... 7 KB (940 words) - 20:45, 29 February 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... 22 KB (2,731 words) - 23:17, 3 December 2023 |
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) - 09:48, 25 April 2024 |
Commutator subgroup (redirect from Transfinite derived series) can continue it to infinite ordinal numbers via transfinite recursion, thereby obtaining the transfinite derived series, which eventually terminates at... 11 KB (1,833 words) - 17:10, 24 April 2023 |
can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite. Cantor linked the Absolute... 9 KB (1,234 words) - 00:58, 1 May 2024 |
Transcendental number Transcendental realism Transcendental Students Transcendental theology Transcendentalism Transcendentals Transferable utility Transfinite induction... 82 KB (8,194 words) - 17:28, 20 March 2024 |
constructing models of set theory by repeating Cohen's forcing method a transfinite number of times. Iterated forcing was introduced by Solovay and Tennenbaum (1971)... 3 KB (419 words) - 02:26, 20 March 2023 |
concept which has a well-defined formal meaning in some number systems, and may refer to: Transfinite numbers, numbers that are larger than all the finite... 746 bytes (127 words) - 14:10, 1 November 2023 |
Mathematical induction (section Transfinite induction) representing an ordinal number is well-founded, the set of natural numbers is one of them. Applied to a well-founded set, transfinite induction can be formulated... 47 KB (6,859 words) - 07:50, 3 April 2024 |