[Moderator Note: this thread was created by splitting out posts in the why math? thread. It contains posts relevant to the OT discussion in that thread, on Sani5's ideas about the relationship between maths and physics.]In which branch of philosophy would you get away with free variables like Dark Matter and Dark Energy?Originally Posted by korjik
Science, BTW, is a philosophical discipline known as empiricism.
Maths is a discipline based 'loosely' on logic. I say loosely has no logical connection has ever been proved, despite the best efforts of mathemeticians and philosophers.
Maths is an important, dare I say, vital tool, but it should be subordinate to physics. General Relativity, for example, puts it in the driving seat. This is a dangerous leap of faith.
Remember the 'Heavier than Air Flight' is impossible argument? They had the Math to 'prove' it. Unfortunately for the naysayers (The leading scientific authorities of the day), the NEW phyics required NEW math. Take note of the sequence there, please.
The lesson is simple, though often ignored. Always start with the physics. Hypothesis (preferably daring), expermient, observation, prediction/measurement, blah. For best results, stir in the math later on, or the cake might look like it was left out in the rain.