Combining Texts

All the ideas for 'fragments/reports', 'Set Theory and related topics (2nd ed)' and 'God in Plato'

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5 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
Among the Greeks Aristotle is the only philosopher in the modern style [Weil]
     Full Idea: In Greece, Aristotle is perhaps the only philosopher in the modern sense, and he is entirely outside the Greek tradition.
     From: Simone Weil (God in Plato [1942], p.45)
     A reaction: She sees Plato as embodying the true tradition. Everything Aristotle writes is 'peri phusis' (about nature), and that is a standard topic of philosophy right from the start. She emphasises Plato long historical roots. Pythagoras is key.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
     Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
     From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
     A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The only legitimate proof of God by order derives from beauty [Weil]
     Full Idea: The only legitimate proof [of God's existence] from the order of the world is the proof from the beauty of the world.
     From: Simone Weil (God in Plato [1942], p.89)
     A reaction: She finds this proof in Plato. Hume's critique never (I think) mentions beauty, although in the 18thC love of the sublime could play that role. For me, the human experience of beauty doesn't have such cosmic significance.