WHAT IS IT TO BE A SOLUTION TO CANTOR'S CONTINUUM PROBLEM?

Συγγραφείς: BLUE, DOUGLAS¹

Πηγή: Journal of Philosophy. Feb2026, Vol. 123 Issue 2, p102-136. 35p.

Θεματικοί όροι: *Continuum hypothesis, *Set theory, *Mathematical logic, *Mathematical analysis

On the Methodology of Informal Rigour: Set Theory, Semantics, and Intuitionism.

Συγγραφείς: Dean, Walter¹ (AUTHOR) W.H.Dean@warwick.ac.uk, Kurokawa, Hidenori² (AUTHOR) Hidenori.Kurokawa@gmail.com

Πηγή: Journal of Philosophical Logic. Jun2026, p1-48. 48p.

Θεματικοί όροι: *Set theory, *Continuum hypothesis, *Heuristic, *Intuition, *First-order logic, *Semantics methodology

Game-theoretic variants of splitting number.

Συγγραφείς: Cruz Chapital, Jorge Antonio¹ (AUTHOR) chapi@matmor.unam.mx, Goto, Tatsuya² (AUTHOR) goto.tatsuya@icloud.com, Hayashi, Yusuke³ (AUTHOR) 219x504x@stu.kobe-u.ac.jp, Yamazoe, Takashi³ (AUTHOR) yamazoe@people.kobe-u.ac.jp

Πηγή: Archive for Mathematical Logic. Jun2026, Vol. 65 Issue 5, p645-663. 19p.

Θεματικοί όροι: *Set theory, *Continuum hypothesis, *Mathematics

Conjugating trivial automorphisms of \mathcal P(\mathbb N) / \mathrm{fin}.

Συγγραφείς: Brian, Will¹ (AUTHOR), Farah, Ilijas² (AUTHOR)

Πηγή: Transactions of the American Mathematical Society. Apr2026, Vol. 379 Issue 4, p2919-2954. 36p.

Θεματικοί όροι: *Automorphisms, *Continuum hypothesis, *First-order logic, *Forcing (Model theory), *Boolean algebra

Limits on forcing axioms at ω2 compatible with the continuum hypothesis.

Συγγραφείς: Todorcevic, Stevo^1,2,3 (AUTHOR) stevo@math.toronto.edu, Xiong, Shihao⁴ (AUTHOR) sx76@cornell.edu

Πηγή: Archive for Mathematical Logic. Mar2026, Vol. 65 Issue 3, p411-423. 13p.

Θεματικοί όροι: *Continuum hypothesis, *Axioms, *Set theory

Saturation of reduced products.

Συγγραφείς: De Bondt, Ben^1,2 (AUTHOR) bdebondt@uni-muenster.de, Farah, Ilijas^3,4 (AUTHOR) ifarah@yorku.ca, Vignati, Alessandro¹ (AUTHOR) vignati@imj-prg.fr

Πηγή: Journal of Mathematical Logic. Feb2026, p1. 31p.

Θεματικοί όροι: *Model theory, *Continuum hypothesis

On two consequences of CH established by Sierpiński. II.

Συγγραφείς: Pol, R.¹ (AUTHOR) pol@mimuw.edu.pl, Zakrzewski, P.¹ (AUTHOR) piotrzak@mimuw.edu.pl

Πηγή: Archive for Mathematical Logic. Nov2025, Vol. 64 Issue 7/8, p1149-1164. 16p.

Θεματικοί όροι: *Continuum hypothesis, *Smoothness of functions, *Real variables, *Mathematical continuum, *Mathematicians, *Mathematical sequences

GEDEL O KANTOROVOM PROBLEMU KONTINUUMA I: GEDELOVA FILOZOFIJA MATEMATIKE

Συγγραφείς: Đorđe, Vukašinović

Πηγή: Arhe

Θεματικοί όροι: teorija skupova, Gedel, hipoteza kontinuuma, set theory, the continuum hypothesis, Gödel, platonizam, Platonism

Σύνδεσμος πρόσβασης: http://reff.f.bg.ac.rs/bitstream/id/23424/188-19-PB-227-254.pdf
https://reff.f.bg.ac.rs/handle/123456789/8002

GEDEL O KANTOROVOM PROBLEMU KONTINUUMA II: KANTOROV PROBLEM KONTINUUMA

Συγγραφείς: Đorđe, Vukašinović

Πηγή: Arhe

Θεματικοί όροι: teorija skupova, Gedel, hipoteza kontinuuma, set theory, the continuum hypothesis, Gödel, platonizam, Platonism

Σύνδεσμος πρόσβασης: https://reff.f.bg.ac.rs/handle/123456789/8004
http://reff.f.bg.ac.rs/bitstream/id/23426/189-21-PB-281-297.pdf

A Machine Proof of the Filter-Method Construction for Real Numbers.

Συγγραφείς: Dou, Guowei¹ (AUTHOR), Yu, Wensheng¹ (AUTHOR) wsyu@bupt.edu.cn

Πηγή: Mathematics (2227-7390). Sep2025, Vol. 13 Issue 17, p2707. 30p.

Θεματικοί όροι: *Real numbers, *Continuum hypothesis, *Number systems, *Set theory, *Ultrafilters (Mathematics)

Forcing for Second-Order Logic

Συγγραφείς: Fritz, Peter^{Aff1, IDs10992026098439_cor1}, Roberts, Sam^Aff2

Πηγή: Journal of Philosophical Logic. :1-57

Universal graphs between a strong limit singular and its power.

Συγγραφείς: Poór, Márk, Shelah, Saharon

Πηγή: Transactions of the American Mathematical Society; May2026, Vol. 379 Issue 5, p3111-3159, 49p

Θεματικοί όροι: Forcing (Model theory), Set theory, Continuum hypothesis

Gödel's First Proof of the Consistency of the Axiom of Choice

Συγγραφείς: Kanamori, Akihiro, von Plato, Jan

Συνεισφορές: Philosophy, Swedish-Speaking Students, Mind and Matter, Gödeliana, Department of Philosophy, History and Art Studies

Πηγή: History and Philosophy of Logic. 46:498-508

Θεματικοί όροι: Philosophy, Axiom of choice, Continuum hypothesis, G & ouml, del

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://hdl.handle.net/10138/624778

Inner models from extended logics: Part 2.

Συγγραφείς: Kennedy, Juliette¹ (AUTHOR) juliette.kennedy@helsinki.fi, Magidor, Menachem² (AUTHOR) mensara@savion.huji.ac.il, Väänänen, Jouko^1,3 (AUTHOR) jouko.vaananen@helsinki.fi

Πηγή: Journal of Mathematical Logic. Jun2025, p1. 47p.

Θεματικοί όροι: *Continuum hypothesis, *Set theory, *Logic

Discussion of 'Air water flows' By Daniel Valero, Stefan Felder, Matthias Kramer, Hang Wang, José M. Carrillo, Michael Pfister and Daniel B. Bung.

Συγγραφείς: Bombardelli, Fabián A.¹ (AUTHOR) fabianbombardelli2@gmail.com, Spadari, Germán E.¹ (AUTHOR), Vath, Brenda² (AUTHOR), D'Angelo, Leiza² (AUTHOR)

Πηγή: Journal of Hydraulic Research / Journal de Recherches Hydraulique. Jun2025, Vol. 63 Issue 3, p410-414. 5p.

Θεματικοί όροι: *Channels (Hydraulic engineering), *Continuum hypothesis, *Navier-Stokes equations, *Multiphase flow, *Flow separation, *Mass transfer coefficients

A Characterization of Pseudo Complete Finitely Ramified Valued Fields Through a Hahn-Like Construction.

Συγγραφείς: De Mase, Anna¹ (AUTHOR)

Πηγή: Quarterly Journal of Mathematics. Jun2025, Vol. 76 Issue 2, p565-587. 23p.

Θεματικοί όροι: *Continuum hypothesis

A Paradigmatic Case of Genetic Overlap Between Neurodevelopment Disorders and Schizophrenia Aligning with the Neurodevelopmental Continuum Hypothesis.

Συγγραφείς: Iannotta, Federica¹ (AUTHOR), La Monica, Ilaria^2,3 (AUTHOR), Di Iorio, Maria Rosaria^2,3 (AUTHOR), Freda, Vittorio¹ (AUTHOR), Sica, Antonia^2,3 (AUTHOR), de Bartolomeis, Andrea^1,3 (AUTHOR), Pastore, Lucio^2,3 (AUTHOR), Iasevoli, Felice¹ (AUTHOR), Lombardo, Barbara^2,3 (AUTHOR) barbara.lombardo@unina.it

Πηγή: International Journal of Molecular Sciences. May2025, Vol. 26 Issue 9, p3970. 12p.

Θεματικοί όροι: *DNA copy number variations, *Continuum hypothesis, *Comparative genomic hybridization, *Genetic profile, *Genetic testing

An Analysis of the Continuum Hypothesis.

Συγγραφείς: Powell, Andrew¹ (AUTHOR)

Πηγή: Axioms (2075-1680). Mar2025, Vol. 14 Issue 3, p154. 12p.

Θεματικοί όροι: *Continuum hypothesis, *Set theory, *Real numbers, *Information theory, *Natural numbers

On Shehtman's two problems.

Συγγραφείς: Bezhanishvili, Guram¹ (AUTHOR), Bezhanishvili, Nick² (AUTHOR) n.bezhanishvili@uva.nl, Lucero‐Bryan, Joel¹ (AUTHOR), van Mill, Jan³ (AUTHOR)

Πηγή: Journal of the London Mathematical Society. Mar2025, Vol. 111 Issue 3, p1-47. 47p.

Θεματικοί όροι: *Continuum hypothesis, *Modal logic

Note on delay-inverse systems, II

Συγγραφείς: Uglešić, Nikica

Πηγή: In Topology and its Applications September 2026 388