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The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated.... see more
Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Axiom of Fusion to... see more
NuMachine, as powerful as Turing machine, but more intuitive in its working is described. Adding three more derivation... see more
Intellectual space is defined as the set of all proofs of mathematical logic, contained in The Book of Erdos. Physical... see more
Engineers know that they can land a man on the moon without using the Lebesgue integral and they will never encounter... see more
Continuum Hypothesis is derived from an axiom called Axiom of Combinatorial Sets. The derivation is simple enough to be... see more
The biggest mystery for me is that the sequence of symbols we scribble on paper is able to simulate our complex universe.... see more
An axiomatic theory called Real Set Theory is defined in which Generalized Continuum Hypothesis and Axiom of Choice are... see more
Godel has proved that there are formulas in Elementary Arithmetic, which will introduce contradictions, irrespective of... see more
A complete analysis of Shannon's telegraph channel is given, making use of matrices with elements from a division ring. A... see more
The most popular format for publishing mathematics on the Web is the PDF, and HyperLaTeX is the program which allows us... see more
It is not unusual that instructors get bogged down in the complex details of set theory, while teaching the foundations... see more