Applying Mathematical Principles to Politics and Philsophy

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Kangoogle
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26 Feb 2009, 10:45 am

Personal interest of mine - I am curious as if it is at all possible. Discuss :)



MrMisanthrope
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26 Feb 2009, 10:50 am

The larger the population, the more mathmatics applies vis-a-vis averages & potentials.

See:
"Psychohistory" - Issac Asimov
"Psychodynamics/Psycholinguistics" - Robert Heinlein

Rigorous Philosophy & Mathmatics are already intertwined in regards to Formal Logic


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ruveyn
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26 Feb 2009, 11:03 am

Social and economic processes behave along the lines of chaotic dynamics. It is all very non-linear and our mathematics does not handle such things all that well. Probably the best we can do is simulate chaotic and non-linear processes on a powerful number cruncher.

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Kangoogle
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26 Feb 2009, 11:04 am

I was thinking of a lot more pure stuff and applying it political systems and ideologies - slightly different to the stuff you were thinking of.

For example applying advanced geometry to "map" the political spectrum (the best models atm are 3D). Or using group theory to look at how a state acts on its people. Just a few random ideas I had.



ruveyn
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26 Feb 2009, 11:07 am

Kangoogle wrote:
I was thinking of a lot more pure stuff and applying it political systems and ideologies - slightly different to the stuff you were thinking of.

For example applying advanced geometry to "map" the political spectrum (the best models atm are 3D). Or using group theory to look at how a state acts on its people. Just a few random ideas I had.


You are not going to get to political or economic realities by a priori thinking. One must do it the old fashioned way. Look, learn, study, measure and test.

ruveyn



Kangoogle
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26 Feb 2009, 11:18 am

ruveyn wrote:
Kangoogle wrote:
I was thinking of a lot more pure stuff and applying it political systems and ideologies - slightly different to the stuff you were thinking of.

For example applying advanced geometry to "map" the political spectrum (the best models atm are 3D). Or using group theory to look at how a state acts on its people. Just a few random ideas I had.


You are not going to get to political or economic realities by a priori thinking. One must do it the old fashioned way. Look, learn, study, measure and test.

ruveyn

Why not? Game theory works really well in economics - and some people make an awful lot of money applying mathematics to economics. As politics defines itself as a social science - it should be testable my mathematics.



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26 Feb 2009, 12:36 pm

I believe in the application of mathematics and physics to economics and philosophy. I have two ideas I'm working on. The application of physics to model economic production and the application of philosophy to answer foundational questions of mathematics and physics. I just wish I didn't have to go to school so I could focus more of my energy on these ideas than the silly process of earning percentages on a piece of paper.


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Mudboy
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26 Feb 2009, 1:33 pm

Boolean equations have been used to document causation and comparisons in politics and the social sciences for a long time. These equations get more complex the further you dig into the different aspects of issues, and the different norms between societies and their sub-societies.


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sartresue
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26 Feb 2009, 1:49 pm

The chaos of Politics and Philosophy

I look at these events as randomness and probabiltiy, and both are origins of mathematical ideas.

Ruveyn's suggestions are sensible (look, learn, study, measure and test.)


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carturo222
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27 Feb 2009, 12:04 am

The word "statistics" was coined from the Italian word for "statesman." So, statistics is literally the tool of rulership.



ruveyn
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27 Feb 2009, 8:43 am

Mudboy wrote:
Boolean equations have been used to document causation and comparisons in politics and the social sciences for a long time. These equations get more complex the further you dig into the different aspects of issues, and the different norms between societies and their sub-societies.


Boolean logic is only good for two valued logic. It does not apply to modal logic (for instance) nor for multi-valued logic (logical states other than true and false).

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27 Feb 2009, 12:18 pm

It is true that Boolean is a true false type of system. The fun comes when you have enough items in your logic table to pull percentages of reactions from different sections of society. Politicians use this type of modeling to put one social program in place prior to putting another in place, to prevent the backlash that would occur if the order of implementation were reversed.

Comparative Sociology is based on Bivariate and Multivariate equations. A better explanation than mine can be found at:
http://www.encyclopedia.com/doc/1O88-multivariateanalysis.html

This concept is being taught at several universities as part of their sociology program:
http://www.maxwell.syr.edu/moynihan/programs/cqrm/

There are also books and articles like:
Assessing Discrimination: A Boolean Approach - Ragin, Mayer, and Drass
Introduction to the Comparative Method With Boolean Algebra (Quantitative Applications in the Social Sciences) - Daniele Caramani


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UrchinStar47
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27 Feb 2009, 1:08 pm

carturo222 wrote:
The word "statistics" was coined from the Italian word for "statesman." So, statistics is literally the tool of rulership.

Descriptive statistics (and early statistics) was invented mainly for the purpose of finding out the strength of an army and that sort of things.

Game theory is applicable, of course.