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A simple and short proof of Dictator Theorem is given. Loosely stated, the theorem says that democracies are not possible,...
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Material Type:
SimulationAuthor: Kannan Nambiar

Date Added: Nov 08, 2001 Date Modified: Jun 28, 2012

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It is shown that Fractional Voting System can be used to circumvent Arrow's paradox. The paradox states that fair elections...
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Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Nov 07, 2001 Date Modified: Nov 16, 2009

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NuMachine, as powerful as Turing machine, but more intuitive in its working is described. Adding three more derivation rules...
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Material Type:
TutorialAuthor: Kannan Nambiar

Date Added: Jun 13, 2001 Date Modified: Apr 02, 2015

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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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Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Jun 26, 2001 Date Modified: Apr 02, 2015

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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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Material Type:
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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Material Type:
Reference MaterialAuthor: Kannan Nambiar

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

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A definition of information, which forms the basis of the current information technology, is given in terms of two axioms.

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Nov 08, 2001 Date Modified: Apr 02, 2015

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An author's Snapshot for Arrow's Paradox and the Fractional Voting System for the material found in MERLOT at...
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Material Type:
ePortfolioAuthor: Kannan Nambiar

Date Added: Aug 11, 2011 Date Modified: Aug 11, 2011

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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: Apr 02, 2015

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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:
ePortfolioAuthor: Kannan Nambiar

Date Added: Aug 11, 2011 Date Modified: Aug 11, 2011

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