Combining Philosophers

Ideas for Herodotus, Plato and Robert Pasnau

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2 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
In mathematics certain things have to be accepted without further explanation [Plato]
     Full Idea: The practitioners of maths take certain things as basic, and feel no further need to explain them.
     From: Plato (The Republic [c.374 BCE], 510c)
4. Formal Logic / G. Formal Mereology / 1. Mereology
It seems absurd that seeing a person's limbs, the one is many, and yet the many are one [Plato]
     Full Idea: Someone first distinguishes a person's limbs and parts and asks your agreement that all the parts are identical with that unity, then ridicules you that you have to admit one is many, and indefinitely many, and again that the many are only only one thing.
     From: Plato (Philebus [c.353 BCE], 14e)
     A reaction: This is a passing aporia, but actually seems to approach the central mystery of the metaphysics of identity. A thing can't be a 'unity' if there are not things to unify? So what sorts of 'unification' are there?