Sentences with phrase «formal logical system»

On the other hand, he was also always a mathematician since, as he clearly indicates in the 1905 article, he seems to conceive of the world as a formal logical system.5 No wonder he regards metaphysics as a possible occupation.

Not exact matches

Therefore God as prime mover, object of desire, and ultimate final cause must include within himself the system of formal causes, the logical structure of the cosmos, particularly if he is to be «thought thinking itself.»

According to Mays, Whitehead's metaphysics is that coherent, logical, and necessary system of general ideas whose model is a purely abstract system of mathematics and formal logic.

First, Gödel showed that it is impossible to prove the internal consistency of a purely formal system sufficient to encapsulate the whole of arithmetic (a feat Russell and Whitehead claimed to have accomplished in Principia Mathematica) without employing logical principles not contained in the system itself.

If you are referring to Godel's Incompleteness Theorem, I would remind you that 1) it's not «any logical system», it is referring to a very spcific thing, i.e. a formal logical theory that is both consistent and complete and how such a thing is logically impossible.

We have identified such a logical system as an ever - widening series of reciprocal final causations that have corresponding material, formal, and efficient causes.