Add to ORKGWe propose certain clases that seem unable to form a completed totality though they are very small, finite, in fact. We suggest that the existence of such clases lends support to an interpretation of the existence of proper clases in terms of availability, not size
zAbstract Cantor's theory of cardinality violates common sense. It says. for example. that all ...
In his recent work, Woodin has defined new axioms stronger than I0 (the existence of an elementary e...
We explain and explore class-theoretic potentialism---the view that one can always individuate more ...
We propose certain clases that seem unable to form a completed totality though they are very small, ...
Gödel argued that Cantor’s notion of cardinal number is uniquely correct. More recent work has defe...
It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an un...
Abstract. Recent work has defended “Euclidean ” theories of set size, in which Cantor’s Principle (t...
If the universe V of sets does not have within it very complicated canonical inner models for large ...
of set theory — the Proper Forcing Axiom — which has proved very successful in settling combinatoria...
We investigate predicative aspects of constructive univalent foundations. By predicative and constru...
The central result of this paper is the small-is-very-small principle for restricted sequential theo...
In ZFC, the class Ord of ordinals is easily seen to satisfy the definable version of strong inaccess...
We discuss two main ways in comparing and evaluating the size of sets: the "Cantorian" way, grounded...
In recent work Woodin has defined new axioms stronger than I0 (the existence of an elementary embedd...
The naıve idea of “size” for collections seems to obey both to Aristotle’s Principle: “the whole is ...
zAbstract Cantor's theory of cardinality violates common sense. It says. for example. that all ...
In his recent work, Woodin has defined new axioms stronger than I0 (the existence of an elementary e...
We explain and explore class-theoretic potentialism---the view that one can always individuate more ...
We propose certain clases that seem unable to form a completed totality though they are very small, ...
Gödel argued that Cantor’s notion of cardinal number is uniquely correct. More recent work has defe...
It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an un...
Abstract. Recent work has defended “Euclidean ” theories of set size, in which Cantor’s Principle (t...
If the universe V of sets does not have within it very complicated canonical inner models for large ...
of set theory — the Proper Forcing Axiom — which has proved very successful in settling combinatoria...
We investigate predicative aspects of constructive univalent foundations. By predicative and constru...
The central result of this paper is the small-is-very-small principle for restricted sequential theo...
In ZFC, the class Ord of ordinals is easily seen to satisfy the definable version of strong inaccess...
We discuss two main ways in comparing and evaluating the size of sets: the "Cantorian" way, grounded...
In recent work Woodin has defined new axioms stronger than I0 (the existence of an elementary embedd...
The naıve idea of “size” for collections seems to obey both to Aristotle’s Principle: “the whole is ...
zAbstract Cantor's theory of cardinality violates common sense. It says. for example. that all ...
In his recent work, Woodin has defined new axioms stronger than I0 (the existence of an elementary e...
We explain and explore class-theoretic potentialism---the view that one can always individuate more ...