Combining Texts

Ideas for 'Physics', 'The Republic' and 'The German Ideology'

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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
Are a part and whole one or many? Either way, what is the cause? [Aristotle]
     Full Idea: There is a difficulty about part and whole, ...whether the part and the whole are one or more than one, and in what way they can be one or many, and, if they are more than one, in what way they are more than one.
     From: Aristotle (Physics [c.337 BCE], 185b11), quoted by Kathrin Koslicki - The Structure of Objects 6.3
     A reaction: He only states the problem here, but doesn't pursue it. I take the real question of mereology to be what makes a many into a one. I don't see a problem with a many being simultaneously a one.