3 papers
math.LO2026
Frucht's theorem and other set-theoretic principles below the axiom of choice and the axiom of foundation
Junhong Chen, Daheng Ju
We take the first step toward the study of set-theoretic principles below the axiom of choice and the axiom of foundation by studying Frucht's theorem,…
math.LO2026
The Coding Conception of Set
Junhong Chen
We propose the Coding Conception of ordinals and sets, which takes Cantor's three generating principles as its sole foundation. Bounded sets of ordinals are generated synchronously…
math.LO2025
Characterizing Fragments of Collection in Set Theory by Model-Theoretic Properties
Junhong Chen
We compare the model theory of the weak set theory with that of the algebraic theory . Every model of has a proper taller* end extens…