3 papers
math.LO2023
Hierarchical Multiverse of Sets
Ahmet Çevik
In this paper, I develop a novel version of the multiverse theory of sets called hierarchical pluralism by introducing the notion of `degrees of intentionality' of theories. The pr…
gr-qc2021
On the Cardinality of Future Worldlines in Discrete Spacetime Structures
Ahmet Çevik, Zeki Seskir
We give an analysis over a variation of causal sets where the light cone of an event is represented by finitely branching trees with respect to any given arbitrary dynamics. We arg…
math.LO2018
Minimal bounds and members of effectively closed sets
Ahmet Çevik
We show that there exists a non-empty special class in which no member is a minimal cover for any set, hence prove that degrees of minimal covers cannot be a basis for $Π^0…