MERLOT Materials

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Provides free worksheets, printouts, lesson plans, SMARTBoard templates, and more. Also provides free Math Interactive... 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.

This applet lets you build simple mathematical proofs from axioms in logic and set theory.

Generalized Continuum Hypothesis is derived from a simple axiom called Axiom of Combinatorial Sets.

A Complex Scientific Calculator with full support of Complex Functions of Complex Variables. Using the Memory Variables... see more

Touch Fraction: (Android interactive fraction) About fractions, and the construction of the rational numbers. Fractions:... see more

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

The author offers reflections on specific questions mathematicians and philosophers have asked about the infinite over... see more

Intellectual space is defined as the set of all proofs of mathematical logic, contained in The Book of Erdos. Physical... see more

This is pretty much what it says it is. This course is written in a lively and engaging style. It starts with elementary... 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

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cuerpos geometricos

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

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

This video was recorded at European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in... see more

This video was recorded at Video Journal of Machine Learning Abstracts - Volume 1. Computing two-way and multi-way set... see more

An author's Snapshot for Definition of Intuitive Set Theory material found in MERLOT at... see more

This video was recorded at 24th Annual Conference on Learning Theory (COLT), Budapest 2011. It is unknown what is the... see more

An author's Snapshot for White Hole, Black Whole, and The Book for the material found in MERLOT at... see more