Title：Truth and Finite Conjunction

Speaker：Guanglong Luo (College of Philosophy, Nankai University)

Time: 2025/3/13 (Thursday) 15:10-18:00

Location: Room 106, Lee Shau Kee Humanities Buildings No.2 (李兆基人文学苑2号楼), Peking University

Abstract:

Fujimoto (2022) raises a new version of conservativeness argument about truth, which centers on the notion of finite conjunction. Luo et al. (2024) argue that Fujimoto's arguments break down when formalizing the notion of finite conjunction in set theory or second-order logic. However, Luo et al.'s definition of finiteness seems too "strong" to be counted among reasonable choices for the definition of finiteness in the context under consideration. (Fujimoto, pc). In this presentation, I will stand with Luo et al. that their definition of finiteness is still preferrable than Fujimoto's. I will also show the potential problems with Fujimoto's argument in other directions based on some striking results about conjunctive correctness recently made by Łełyk et. al (2024) and Enayat (2025), if time permits.