(ordinary) linear continuum? The original statement of Suslin's problem from (Suslin 1920) Suslin's problem asks: Given a non-empty totally ordered set R with...
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Suslin died of typhus in the 1919 Moscow epidemic following the Russian Civil War, at the age of 24. His name is especially associated to Suslin's problem...
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statements independent of ZFC List of unsolved problems in set theory Suslin's problem Thomas Jech, Set Theory, 3rd millennium ed., 2003, Springer Monographs...
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new Suslin sets Suslin operation Suslin's problem Suslin representation, a set of real numbers built up in a certain way Sergey Suslin (1944–1989), Soviet...
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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...
195 KB (20,069 words) - 08:05, 26 June 2025
Continuum hypothesis (redirect from Hilberts first problem)
truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum...
32 KB (4,060 words) - 14:27, 16 June 2025
Foundations of mathematics (redirect from Foundations problem in mathematics)
(multivariable polynomial equation) has a solution in integers. 1971: Suslin's problem is proven to be independent from ZFC. Starting in 1935, the Bourbaki...
52 KB (6,910 words) - 08:29, 16 June 2025
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
12 KB (1,515 words) - 07:59, 27 January 2025
The Quillen–Suslin theorem, also known as Serre's problem or Serre's conjecture, is a theorem in commutative algebra concerning the relationship between...
6 KB (657 words) - 07:29, 27 December 2024
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
14 KB (1,917 words) - 20:19, 4 March 2025
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
8 KB (1,018 words) - 03:56, 24 June 2025
constructibility implies the generalized continuum hypothesis, the negation of Suslin's hypothesis, and the existence of an analytical (in fact, Δ 2 1 {\displaystyle...
8 KB (1,064 words) - 09:57, 4 February 2025
Mathematical Logic), an introduction to first-order logic in which the problem of completeness was posed: "Are the axioms of a formal system sufficient...
56 KB (5,924 words) - 19:45, 18 June 2025
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
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questions that can be solved using set-theoretic methods, for example, Suslin's problem. In the mathematical field of general topology, a Dowker space is a...
11 KB (1,588 words) - 21:59, 20 January 2025
hypothesis and the negation of the Suslin hypothesis. Martin's axiom plus the negation of the continuum hypothesis implies the Suslin hypothesis. The constructible...
46 KB (6,252 words) - 13:43, 7 June 2025
axioms characterize the order type of the real number line. Aleph null Suslin's problem Transfinite number Weisstein, Eric W. "Continuum". mathworld.wolfram...
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non-empty open subsets of X is countable. The name originates from Suslin's Problem. Every separable topological space has ccc. Furthermore, a product...
3 KB (456 words) - 22:46, 20 March 2025
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
8 KB (1,142 words) - 11:05, 24 October 2024
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
14 KB (1,989 words) - 08:46, 6 May 2025
independent of ZFC, requiring stronger axioms for their proof. A famous problem is the normal Moore space question, a question in general topology that...
54 KB (6,575 words) - 19:15, 10 June 2025
Ernst Zermelo (section Zermelo's navigation problem)
theory. Proposed in 1931, Zermelo's navigation problem is a classic optimal control problem. The problem deals with a boat navigating on a body of water...
12 KB (1,217 words) - 22:39, 25 May 2025
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
15 KB (2,229 words) - 02:12, 26 May 2025
Mathematical Reasoning, MacMillan D'Angelo; West (2000), Mathematical Thinking: Problem Solving and Proofs, Prentice Hall Cupillari, The Nuts and Bolts of Proofs...
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Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
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Gottlob Frege of the paradox in Frege's 1879 Begriffsschrift and framed the problem in terms of both logic and set theory, and in particular in terms of Frege's...
32 KB (4,621 words) - 14:05, 26 May 2025
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
16 KB (1,741 words) - 00:08, 20 June 2025
Press, 0-674-55451-5 Toth, Gabor (2021-09-23). Elements of Mathematics: A Problem-Centered Approach to History and Foundations. Springer Nature. p. 32....
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Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
12 KB (1,734 words) - 23:16, 26 December 2023
Morse–Kelley Kripke–Platek Tarski–Grothendieck Paradoxes Problems Russell's paradox Suslin's problem Burali-Forti paradox Set theorists Paul Bernays Georg...
16 KB (2,441 words) - 17:45, 28 September 2024