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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?

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 liberal bias 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]. Or take the negative logarithm of (1-Liberals/Population), to whatever base you like. Would make it behave like pH, or scale of Richter

* '''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 take the negative logarithm of (1-Liberals/Population), 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.