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MERLOT II

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Materials 11 - 20 shown of 26 results

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: Apr 02, 2015
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avg: 5 rating

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Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem

Five geometrical eqivalents of Goldbach conjecture are given, calling one of them Fermat Like Theorem.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 04, 2002 Date Modified: Apr 02, 2015
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Information-Theoretic Equivalent of Riemann Hypothesis

Riemann Hypothesis is viewed as a statement about the capacity of a communication channel as defined by Shannon.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jul 10, 2003 Date Modified: Dec 19, 2005
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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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Reviewed by members of Editorial board for inclusion in MERLOT.
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Very good quality; in queue to be peer reviewed
avg: 5 rating

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MediaMathBlog

A weblog in which the use of multimedia in distance education is discussed.
Material Type: Presentation
Author: Kannan Nambiar
Date Added: Jul 17, 2006 Date Modified: Jul 17, 2006
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MetaMathBlog

A weblog in which issues of metamathematics are discussed.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 22, 2005 Date Modified: Jun 22, 2005
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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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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 02, 2015
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Teaching Generalized Continuum Hypothesis

Generalized Continuum Hypothesis is derived from a simple axiom called Axiom of Combinatorial Sets.
Material Type: Tutorial
Author: Kannan Nambiar
Date Added: Mar 31, 2002 Date Modified: Dec 20, 2005
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The Essence of Intuitive Set Theory

Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Axiom of Fusion to... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 03, 2001 Date Modified: Apr 02, 2015
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Very good quality; in queue to be peer reviewed
avg: 5 rating

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