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View material results for category Mathematics and Statistics

Mathematics and Statistics
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Mathematics
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View material results for category Mathematics and Statistics/Mathematics/Foundations of Mathematics

Foundations of Mathematics
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Set Theory
This site contains several hundred articles concerned with mathematics and physics. General topics include Number Theory,...
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Reference MaterialAuthor: Unknown

Date Added: Mar 08, 2005 Date Modified: Jan 22, 2008

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Intellectual space is defined as the set of all proofs of mathematical logic, contained in The Book of Erdos. Physical and...
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Reference MaterialAuthor: Kannan Nambiar

Date Added: Jun 26, 2001 Date Modified: May 21, 2008

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Engineers know that they can land a man on the moon without using the Lebesgue integral and they will never encounter Skolem...
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Reference MaterialAuthor: Kannan Nambiar

Date Added: May 19, 2009 Date Modified: May 19, 2009

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An important part of Cantor's set theory, which forms the foundations of mathematics, is the concept of transfinite ordinals....
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Reference MaterialAuthor: Kannan Nambiar

Date Added: Jun 15, 2008 Date Modified: Jun 28, 2012

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The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated....
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Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Nov 03, 2001 Date Modified: Aug 02, 2007

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Continuum Hypothesis is derived from an axiom called Axiom of Combinatorial Sets. The derivation is simple enough to be...
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Reference MaterialAuthor: Kannan Nambiar

Date Added: Dec 02, 2003 Date Modified: Dec 19, 2005

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

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Reference MaterialAuthor: Kannan Nambiar

Date Added: Apr 07, 2002 Date Modified: Dec 20, 2005

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

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Reference MaterialAuthor: Kannan Nambiar

Date Added: Jun 20, 2002 Date Modified: Dec 20, 2005

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An axiomatic theory called Real Set Theory is defined in which Generalized Continuum Hypothesis and Axiom of Choice are...
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Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Jun 25, 2001 Date Modified: Apr 14, 2010

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Godel has proved that there are formulas in Elementary Arithmetic, which will introduce contradictions, irrespective of...
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Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Jun 25, 2001 Date Modified: Apr 14, 2010

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