3 papers
math.LO2025
Skands and coskands (The non-founded set theory with individuals and its model in the Field of all Conway numbers)
Ju. T. Lisica
The basic one in this work is the axiomatic set theory (von Neumann-Bernays-G{ö}del), which is a first-order theory with its own axioms, including in particular the axiom of…
math.LO2024
On all numbers great and small (Topological fields of Conway's numbers and their completions)
Ju. T. Lisica
The proper Class of all Conway's numbers $\cite{l3}$ is considered as a region of investigation. It turns out to be a total ordered Field (i.e., a field whose domain is a…
math.LO2012
Skand theory and its applications. (A new look at non-well-founded sets)
Ju. T. Lisica
A new mathematical object called a skand is introduced, which turns out in general to be a non-well-founded set. Skands of finite lengths are ordinary well-founded sets, and skands…