AbstractAckermann functions are used recursively to define the transfinite cardinals of Cantor. Continuum hypothesis and axiom of choice are derived from the definition. An axiom which splits the unit interval into infinitesimals is stated. Using illustrations, the resulting set theory is visualized
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Georg Cantor was the genuine discoverer of the Mathematical In-finity, and whatever he claimed, sugg...
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 ...
This paper begins an axiomatic development of naive set theory—the consequences of a full comprehens...
ABSTRACT. Intuitive set theory is defined as the theory we get when we add the axioms, Monotonicity ...
Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Ax...
Cantor thought of the principles of set theory or intuitive principles as universal forms that can a...
ABSTRACT. Method of fusing explains the basis for the formulation of the ax-ioms of monotonicity and...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
An analysis of the well known paradoxes found in intuitive set theory has led to the reconstruction ...
In A Stroll Through Cantor’s Paradise: Appraising the Semantics of Transfinite Numbers, we confront ...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Georg Cantor was the genuine discoverer of the Mathematical In-finity, and whatever he claimed, sugg...
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 ...
This paper begins an axiomatic development of naive set theory—the consequences of a full comprehens...
ABSTRACT. Intuitive set theory is defined as the theory we get when we add the axioms, Monotonicity ...
Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Ax...
Cantor thought of the principles of set theory or intuitive principles as universal forms that can a...
ABSTRACT. Method of fusing explains the basis for the formulation of the ax-ioms of monotonicity and...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
An analysis of the well known paradoxes found in intuitive set theory has led to the reconstruction ...
In A Stroll Through Cantor’s Paradise: Appraising the Semantics of Transfinite Numbers, we confront ...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Georg Cantor was the genuine discoverer of the Mathematical In-finity, and whatever he claimed, sugg...
In an earlier paper [1], intuitive set theory (IST) was defined as the theory we get when we add the...
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