3 papers
math.LO2026
An equiconsistency proof for
Shuwei Wang
In many axiomatic set theories, Gödel's constructible universe is known as an inner model, that is, a definable class satisfying the same axioms (and containing the same ordina…
math.LO2026
Some notes on plump ordinals
Shuwei Wang
In this exposition, we attempt to formalise a treatment of Paul Taylor's notion of plump ordinals in weak intuitionistic axiomatic set theories such as IKP. We will explore basic p…
math.LO2025
An ordinal analysis of CM and its extensions
Shuwei Wang
In arXiv:0905.1675, Nik Weaver proposed a novel intuitionistic formal theory of third-order arithmetic as a formalisation of his philosophical position known as mathematical concep…