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MERLOT II






        

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Materials 1 - 10 shown of 12 results

MathPages

This site contains several hundred articles concerned with mathematics and physics. General topics include Number Theory,... see more
Material Type: Reference Material
Author: Unknown
Date Added: Mar 08, 2005 Date Modified: Jan 22, 2008
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Editor Review avg: 3.33 rating
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White Hole, Black Whole, and The Book

Intellectual space is defined as the set of all proofs of mathematical logic, contained in The Book of Erdos. Physical and... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 26, 2001 Date Modified: May 21, 2008
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Editor Review avg: 3 rating
User Rating 3 user rating
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A Set Theory for Scientists and Engineers (youtube video)

Engineers know that they can land a man on the moon without using the Lebesgue integral and they will never encounter Skolem... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: May 19, 2009 Date Modified: May 19, 2009
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Editor Review avg: 3 rating
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Ackermann Functions and Transfinite Ordinals

An important part of Cantor's set theory, which forms the foundations of mathematics, is the concept of transfinite ordinals.... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 15, 2008 Date Modified: Jun 28, 2012
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Editor Review avg: 3 rating
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Definition of Intuitive Set Theory

The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated.... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 03, 2001 Date Modified: Aug 02, 2007
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Editor Review avg: 4 rating
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Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets

Continuum Hypothesis is derived from an axiom called Axiom of Combinatorial Sets. The derivation is simple enough to be... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Dec 02, 2003 Date Modified: Dec 19, 2005
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Editor Review avg: 3 rating
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Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets

Axiom of Combinatorial Sets is defined and used to derive Generalized Continuum Hypothesis.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Apr 07, 2002 Date Modified: Dec 20, 2005
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Editor Review avg: 4 rating
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Logsets and ZF Theory

Logset, the inverse of the powerset operation, is introduced into set theory.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 20, 2002 Date Modified: Dec 20, 2005
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Editor Review avg: 4 rating
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Real Set Theory

An axiomatic theory called Real Set Theory is defined in which Generalized Continuum Hypothesis and Axiom of Choice are... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 25, 2001 Date Modified: Apr 14, 2010
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Editor Review avg: 3 rating
User Rating 5 user rating
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Sentient Arithmetic and Godel's Theorems

Godel has proved that there are formulas in Elementary Arithmetic, which will introduce contradictions, irrespective of... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 25, 2001 Date Modified: Apr 14, 2010
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Editor Review avg: 3 rating
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