Fisherking wrote:It seems to me that whatever values we wanted to put into the equation would either have to be the same every time we measured them or they would be different (more than likely). If they were different and we tried to give a general definition of fitness, fitness would be a different value every time resulting in a 'special definition' every time.... wouldn't it?
Here’s an equation 4x = y. The value of y changes every time we change the value of x. However the form of the equation remains constant. Here are some different equations.
3x = y
x + z = y
x^n + y^n = y^n
F = Ma
E =Mc^2
Now if we had a selection of forms of definition - a selection of equations - which we interchanged and used in an ad hoc way to suit our purposes - then that would be a special definition. This should not be confused with a different result from an equation applied consistently.
The lesson applies to my (or any attempt) to provide a generic definition of “fitness“. The definition will not be special in Remine’s sense if the form of the equation remains the same. The result of a consistent equation becomes the measure of “fitness”
Fisherking wrote:I agree, that is because special definitions for fitness have been given. In the examples given, the special definitions of fitness are:
1. reproduction and mutational rates ("whether Polar bear DNA is able to reproduce and mutate at a fast enough rate to cope with changing environment")
2. hunting traits ("survivors will display new hunting traits")
3. coat type (" they may well lose the white fur in favour of a coat that suits the new terrain better")
Lets look again at the generic definition I offered
Furrowed Brow wrote:Survival fitness quotient = (Existing DNA + mutation) * environmental changes / established environment
Your point 1 is covered by this defintion/equation.
Your point 2 concerns changes in behaviour. But what engenders changes in behavioiur? Either a genetic mutation affect morphology and engenders or reinforces new behaviour, or environment changes, thus the organisms is forced to behave differently. Again your point 2 is subsumed by the generic definition. So too 3.
Fisherking wrote:We could make a hundred more predictions on factors (environmental or otherwise) we think would affect polar bear fitness and still not be able to falsify natural selection. If the three factors above proved to be irrelevant to survival would natural selection be falsified? -- Of course not. Coat type may turn out to be the only factor involved in whether or not the polar bear survives. For a penguin in the same environment, fitness might be determined by toe length. If fitness is defined by short fur for better aerodynamics and also long fur to keep them warm, we then move into metaphysical definitions of fitness that are not falsifiable.
OK. Fur coat for polar bears and toe length for Penguins. These are variables. I picked out the polar bears white fur. But as you imply nature might pick out something else.
Thus we come back to a basic generic position, we measure the polar bear reproductive rates, the mutation rate, the changes in the environment etc, and come up with a figure that describes the ability of the polar bear to survive, beyond x number of generations.