arXiv math.LO Logic
19.3K posts
user avatar
arXiv math.LO Logic
@mathLOb
Unofficial bot by @vela with github.com/so-okada/twXiv. @mathFAbot @mathGMb @mathGNb @mathGRbot @mathGTb @mathHOb @mathITbot @mathKTb @mathMGb @mathMPb ...
arxiv.org/list/math.LO/n…
Joined April 2013
0
Following
1,623
Followers
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Jan 7, 2025
    James E. Hanson: Any function I can actually write down is measurable, right? arxiv.org/abs/2501.02693 arxiv.org/pdf/2501.02693
    arXiv logo
    arxiv.org
    Any function I can actually write down is measurable, right?
    In this expository paper aimed at a general mathematical audience, we discuss how to combine certain classic theorems of set-theoretic inner model theory and effective descriptive set theory with...
    168K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Dec 22, 2022
    Egbert Rijke: Introduction to Homotopy Type Theory arxiv.org/abs/2212.11082 arxiv.org/pdf/2212.11082
    arXiv logo
    arxiv.org
    Introduction to Homotopy Type Theory
    This is an introductory textbook to univalent mathematics and homotopy type theory, a mathematical foundation that takes advantage of the structural nature of mathematical definitions and...
    12K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Nov 22, 2023
    Toshiyasu Arai: An ordinal analysis of $\Pi_{N}$-Collection arxiv.org/abs/2311.12459 arxiv.org/pdf/2311.12459
    arXiv logo
    arxiv.org
    An ordinal analysis of $Π_{N}$-Collection
    In this paper we give an ordinal analysis of a set theory with $Π_{N}$-Collection.
    93K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Oct 9, 2020
    Adonai S. Sant'Anna, Otavio Bueno, Marcio P. P. de França, Renato Brodzinski: Flow: the Axiom of Choice is independent from the Partition Principle arxiv.org/abs/2010.03664 arxiv.org/pdf/2010.03664
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Nov 12, 2021
    Thorsten Altenkirch: Should Type Theory replace Set Theory as the Foundation of Mathematics arxiv.org/abs/2111.06368 arxiv.org/pdf/2111.06368
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Mar 15, 2022
    Joel David Hamkins: Infinite Wordle and the Mastermind numbers arxiv.org/abs/2203.06804 arxiv.org/pdf/2203.06804
    arXiv logo
    arxiv.org
    Infinite Wordle and the Mastermind numbers
    I consider the natural infinitary variations of the games Wordle and Mastermind, as well as their game-theoretic variations Absurdle and Madstermind, considering these games with infinitely long...
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Feb 17, 2021
    Saul A. Kripke: The Collapse of the Hilbert Program: A Variation on the G\"odelian Theme arxiv.org/abs/2102.08346 arxiv.org/pdf/2102.08346
    arXiv logo
    arxiv.org
    The Collapse of the Hilbert Program: A Variation on the Gödelian Theme
    The Hilbert program was actually a specific approach for proving consistency. Quantifiers were supposed to be replaced by $ε$-terms. $ε{x}A(x)$ was supposed to denote a witness to...
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Nov 2, 2023
    Taishi Kurahashi, Rihito Takase: The Modal Logic of Provability and Forcing arxiv.org/abs/2311.00581 arxiv.org/pdf/2311.00581
    2.9K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Apr 16, 2024
    Richard Zach: Logic in Mathematics and Computer Science arxiv.org/abs/2404.09033 arxiv.org/pdf/2404.09033
    arXiv logo
    arxiv.org
    Logic in Mathematics and Computer Science
    Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics:...
    3.8K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Nov 27, 2023
    Toshimichi Usuba: A note on \L o\'s's Theorem without the Axiom of Choice arxiv.org/abs/2311.14267 arxiv.org/pdf/2311.14267
    arXiv logo
    arxiv.org
    A note on Łoś's Theorem without the Axiom of Choice
    We study some topics about Łoś's theorem without assuming the Axiom of Choice. We prove that Łoś's fundamental theorem of ultraproducts is equivalent to a weak form that every ultrapower...
    5K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Oct 22, 2024
    Takayuki Kihara: The Arithmetical Hierarchy: A Realizability-Theoretic Perspective arxiv.org/abs/2410.15795 arxiv.org/pdf/2410.15795
    arXiv logo
    arxiv.org
    The Arithmetical Hierarchy: A Realizability-Theoretic Perspective
    In this article, we investigate the arithmetical hierarchy from the perspective of realizability theory. An experimental observation in classical computability theory is that the notion of degrees...
    3.5K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Jul 2, 2024
    Joel David Hamkins, Theodor Nenu: Did Turing prove the undecidability of the halting problem? arxiv.org/abs/2407.00680 arxiv.org/pdf/2407.00680
    arXiv logo
    arxiv.org
    Did Turing prove the undecidability of the halting problem?
    We discuss the accuracy of the attribution commonly given to Turing's 1936 paper "On computable numbers..." for the computable undecidability of the halting problem, coming eventually to a nuanced...
    4.3K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Apr 4, 2023
    Toshiyasu Arai: Lectures on Ordinal Analysis arxiv.org/abs/2304.00246 arxiv.org/pdf/2304.00246
    5.1K
  • user avatar
    arXiv math.LO Logic
    @mathLOb
    Mar 28, 2023
    Bokai Yao: Set Theory with Urelements arxiv.org/abs/2303.14274 arxiv.org/pdf/2303.14274
    arXiv logo
    arxiv.org
    Set Theory with Urelements
    This dissertation aims to provide a comprehensive account of set theory with urelements. In Chapter 1, I present mathematical and philosophical motivations for studying urelement set theory and...
    5.7K

New to X?

Sign up now to get your own personalized timeline!

Create account

By signing up, you agree to the Terms of Service and Privacy Policy, including Cookie Use.

Terms of Service|Privacy Policy|Cookie Policy|Accessibility|Ads info|© 2026 X Corp.
Don't miss what's happening
People on X are the first to know.
Log inSign up