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Materials 1 - 10 shown of 13 results

### 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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### What is Metamathematics?

When we work with well-accepted axioms and derivation rules of set theory, it is called mathematics. When we look for... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 16, 2008 Date Modified: Feb 17, 2010
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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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### 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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### 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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### 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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### 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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### Two Open Problems and a Conjecture in Mathematical Logic

It is not unusual that instructors get bogged down in the complex details of set theory, while teaching the foundations of... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jan 22, 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: Dec 20, 2005
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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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