MERLOT Materials

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A huge list of resources in various topics of mathematics and math education.

WeUseMath.org is a non-profit website that helps to answer this question. This website describes the importance of... see more

The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated.... see more

Axiom of Combinatorial Sets is defined and used to derive Generalized Continuum Hypothesis.

Logset, the inverse of the powerset operation, is introduced into set theory.

Conteudo de Logica Matematica em Portugues

This site provides an extremely large encyclopedia-style collection of material related to mathematics at the college... see more

This site contains several hundred articles concerned with mathematics and physics. General topics include Number Theory,... 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

An important part of Cantor's set theory, which forms the foundations of mathematics, is the concept of transfinite... see more

Continuum Hypothesis is derived from an axiom called Axiom of Combinatorial Sets. The derivation is simple enough to be... see more

A weblog in which issues of metamathematics are discussed.

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

The mathematical universe discussed here gives models of possible structures our physical universe can have.

It is not unusual that instructors get bogged down in the complex details of set theory, while teaching the foundations... see more

'If you have ever wondered how mathematicians and mathematics have shaped the world we live in, this is the app for you.... see more