PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 6, 20260 citationsOpen Access

Determinacy on the edge of second-order arithmetic, I

View Full Paper
JAJ. Aguilera AguileraTU WienPWP D WelchUniversity of Bristol

Key Points

  • The aim is to explore the concept of determinacy within the framework of second-order arithmetic.
  • Employs techniques from mathematical logic and set theory.
  • Analyzes implications of determinacy on definable sets and functions.
  • Utilizes computability theory to assess outcomes.
  • Establishes new relationships between determinacy and second-order arithmetic.
  • Identifies certain classes of games and their outcomes within this context.
  • Suggests that previous assumptions about definable sets may need reevaluation.

Abstract

See paper for abstract Original language English Article number e70456 Journal Journal of the London Mathematical Society Volume 113 Issue number 3 Early online date 26 Feb 2026 DOIs https://doi.org/10.1112/jlms.70456 Publication status Published - 1 Mar 2026 Bibliographical note Publisher Copyright: © 2026 The Author(s).

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Aguilera et al. (2026) studied this question.

synapsesocial.com/papers/69aa7096531e4c4a9ff5a7adhttps://doi.org/10.1112/jlms.70456
Ask AI
Helpful
Bookmark
Share
View Full Paper