1 citations · 3 across the 7 of their papers we have counts for
7 papers
Higher Cardinals are only a Convention
Werner DePauli-Schimanovich
Zermelo's Axiom of Separation is: Exist x: Forall y: (y in x <==> y in a & E(y)) with definite(E) and parameter a. Thoralf Skolem suggested to characterize the terminus "definite"…
ZFK := ZFC with a Complement, or: Hegel and the Synto-Set-Theory
Werner DePauli-Schimanovich
What is the slightest modification of ZF to add a complement-axiom? The answer in my Ph.D. thesis 1971 was ZF'': Zermelo-Fraenkel with replacement for only well-founded domains and…
Paradigms-Shift in Set Theory
Werner DePauli-Schimanovich
In this article the author claims that there is a paradigm shift from ZFC to NFUM and further to NACT - due to philosophical reasons, not mathematical ones. The goal is to construc…
Naive Axiomatic Mengenlehre for Experiments
Werner DePauli-Schimanovich
The main goal of "Naive Axiomatic Mengenlehre" (NAM) is to find a more or less adequately explicit criterion that precisely formalizes the intuitive notion of a "normal set". NAM i…
Naive Axiomatic Class Theory: A Solution for the Antinomies of Naive Mengenlehre
Werner DePauli-Schimanovich
Since the axioms in (Consi-CoS) are not recursively enumerable, NACT* is no axiom system in the classical sense . Therefore we construct a series of partial systems which form a re…
The Notion "Pathology" in Set Theory
Werner DePauli-Schimanovich
When we study the paradoxes of set theory we find out that there are mainly 2 types: the pathologies and the antinomies. These 2 notions are made precise and compared with the some…