Write4U
Valued Senior Member
I see no such distinction. A theory is only useful insofar as it makes successful predictions. In many fields, "shortcuts", or simplifications, are made to rigorous theory, in order to facilitate this.
There seems to be, in the minds of some people, a myth of some kind of Aristotelian abstraction and purity in the theories of science. This may be due to modern physics. But most science is messy and deals with systems that are too complex to model with exquisite mathematical accuracy. Science is quite pragmatic about this and is happy to use imperfect models for a variety of purposes, if they work sufficiently well and are more convenient than full rigour. Science, it bears re-emphasising, is not mathematics.
Necessity and sufficiency, I can go with that. But then, at what stage of Science is "full rigour" required?
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