Changes

:: Order, you still haven't provided an alternative definition of a liberal quotient for a group.  The only sensible definition using a scale between 0 and infinity is the ratio of liberals to conservatives.  If you're giving me such grief over such an obvious and simple definition, then I hate to think how you would have objected to [[Lord Kelvin]]!--[[User:Aschlafly|Aschlafly]] 00:43, 1 April 2007 (EDT)

:: Order, you still haven't provided an alternative definition of a liberal quotient for a group.  The only sensible definition using a scale between 0 and infinity is the ratio of liberals to conservatives.  If you're giving me such grief over such an obvious and simple definition, then I hate to think how you would have objected to [[Lord Kelvin]]!--[[User:Aschlafly|Aschlafly]] 00:43, 1 April 2007 (EDT)

You requirement that it has to map from zero to infinity is kind of arbitrary, because you can map any function over an infinite domain to the [zero,infinity] domain. Basic math. No need to invoke Lord Kelvin. Lol.

You requirement that it has to map from zero to infinity is kind of arbitrary, because you can map any function over an infinite domain to the [zero,infinity] domain. Basic math. No need to invoke Lord Kelvin. Lol. Was it you who complained about ''elemntary proof'', or was it your alter ego?

My alternative definition for populations is either:

My alternative definition for populations is either:

* '''Liberals/Population''', the obvious choice. Ranges from 0 to 1. Choose an suitable transformation, such as x-> tan(x*pi/2) if you want it to range over [zero,infinity].

* '''Liberals/Population''', the obvious choice. Ranges from 0 to 1. Choose an suitable transformation, such as x-> tan(x*pi/2) if you want it to range over [zero,infinity]. Or the negative logarithm, to whatever base you like. Would make it behave like pH, or scale of Richter

* '''Liberals/(Population-Liberal)''', the second obvious choice. Maps naturally from zero to infinity.

* '''Liberals/(Population-Liberal)''', the second obvious choice. Maps naturally from zero to infinity.

* Funny, your idea that moderates do not matter. So if you have in a group only 99 moderates, and one Liberal, it would be as Liberal, as if it had 100 Liberals, and no moderates?  

* Funny, your idea that moderates do not matter. So if you have in a group only 99 moderates, and one Liberal, it would be as Liberal, as if it had 100 Liberals, and no moderates?