Add to ORKGThe two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated. Generalized Continuum Hypothesis is derived from the first axiom, and the infinitesimal is visualized using the latter
Suppose one has a system, the infinite set of positive integers, P, and one wants to study the chara...
AbstractAn axiomatic theory of sets and rules is formulated, which permits the use of sets as data s...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Ax...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
ABSTRACT. Intuitive set theory is defined as the theory we get when we add the axioms, Monotonicity ...
AbstractA set theory called intuitive set theory is introduced in which the Skolem Paradox does not ...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
AbstractAckermann functions are used recursively to define the transfinite cardinals of Cantor. Cont...
ABSTRACT. Intuitive set theory is defined as the theory we get when we add the axioms, Monotonicity ...
Set theory deals with the most fundamental existence questions in mathematics– questions which affect...
AbstractWe analyse here on a concrete combinatorial example the intuitionistic content of an argumen...
AbstractA set theory called Real Set Theory is defined in which Generalized Continuum Hypothesis and...
In this paper intuitionistic set theory INC# in infinitary set theoretical language is considered. ...
Main results are: (i) number e^{e} is transcendental; (ii) the both numbers e+π and e-π are irratio...
Suppose one has a system, the infinite set of positive integers, P, and one wants to study the chara...
AbstractAn axiomatic theory of sets and rules is formulated, which permits the use of sets as data s...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Ax...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
ABSTRACT. Intuitive set theory is defined as the theory we get when we add the axioms, Monotonicity ...
AbstractA set theory called intuitive set theory is introduced in which the Skolem Paradox does not ...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
AbstractAckermann functions are used recursively to define the transfinite cardinals of Cantor. Cont...
ABSTRACT. Intuitive set theory is defined as the theory we get when we add the axioms, Monotonicity ...
Set theory deals with the most fundamental existence questions in mathematics– questions which affect...
AbstractWe analyse here on a concrete combinatorial example the intuitionistic content of an argumen...
AbstractA set theory called Real Set Theory is defined in which Generalized Continuum Hypothesis and...
In this paper intuitionistic set theory INC# in infinitary set theoretical language is considered. ...
Main results are: (i) number e^{e} is transcendental; (ii) the both numbers e+π and e-π are irratio...
Suppose one has a system, the infinite set of positive integers, P, and one wants to study the chara...
AbstractAn axiomatic theory of sets and rules is formulated, which permits the use of sets as data s...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...