3 papers
math.LO2026
The magmatic universe revisited: we define ordered pairs, relations, numbers and a special form of Separation
Athanassios Tzouvaras
This is a companion article to \cite{Tz24}. We address the following two questions: 1) Can we define in the magmatic universe of \cite{Tz24} counterparts, or just analogues, of…
math.LO2026
An observer-based approach to the sorites paradox and the logic derived from that
Athanassios Tzouvaras
We approach the sorites paradox (SP) through an observer-based and time-dependent approach to truth of vague assertions. Formally the approach gives rise to a semantics, called flu…
math.LO2026
Sets with dependent elements: A formalization of Castoriadis' notion of magma
Athanassios Tzouvaras
We present a formalization of collections that Cornelius Castoriadis calls ``magmas'', especially the property which mainly characterizes them and distinguishes them from the usual…