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View material results for discipline Mathematics and Statistics

Mathematics and Statistics
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View material results for discipline Mathematics and Statistics/Mathematics

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

Foundations of Mathematics
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Set Theory
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 Material
Author:
Kannan Nambiar

Date Added:
Nov 03, 2001
Date Modified:
Apr 02, 2015
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Select this link to add material Definition of Intuitive Set Theory to Bookmark material or Course ePortfolio

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An author's Snapshot for Definition of Intuitive Set Theory material found in MERLOT at...
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Material Type:
ePortfolio
Author:
Kannan Nambiar

Date Added:
Aug 11, 2011
Date Modified:
Nov 04, 2015
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Select this link to add material Definition of Intuitive Set Theory: A Snapshot to Bookmark material or Course ePortfolio

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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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Material Type:
Reference Material
Author:
Kannan Nambiar

Date Added:
Dec 02, 2003
Date Modified:
Apr 02, 2015
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Select this link to add material Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets to Bookmark material or Course ePortfolio

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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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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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Select this link to add material Logsets and ZF Theory to Bookmark material or Course ePortfolio

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

Material Type:
Simulation
Author:
Norman D. Megill

Date Added:
Jul 21, 1997
Date Modified:
Nov 27, 2016
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Select this link to add material Metamath Solitaire to Bookmark material or Course ePortfolio

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This video was recorded at 24th Annual Conference on Learning Theory (COLT), Budapest 2011. It is unknown what is the most...
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Material Type:
Presentation
Author:
Wojciech Kotlowski

Date Added:
Feb 08, 2015
Date Modified:
Feb 08, 2015
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Select this link to add material Minimax algorithm for learning rotations to Bookmark material or Course ePortfolio

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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 Material
Author:
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 Material
Author:
Kannan Nambiar

Date Added:
Jun 25, 2001
Date Modified:
Apr 02, 2015
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Select this link to add material Sentient Arithmetic and Godel's Theorems to Bookmark material or Course ePortfolio

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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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