Combining Texts

All the ideas for 'fragments/reports', 'The Lagoon: how Aristotle invented science' and 'The iterative conception of Set'

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3 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]
     Full Idea: The problem with making naturalism the hallmark of Pre-Socratic thought ...is that they do not always 'leave the gods out'; the Divine can usually be found lurking somewhere is their cosmologies.
     From: Armand Marie LeRoi (The Lagoon: how Aristotle invented science [2014], 007)
     A reaction: An important observation. I've been guilty of this simplistic view. We tend to ignore the religious fragments, or we possess so little that we have no idea where religion figured in their accounts.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy]
     Full Idea: For Boolos, the Replacement Axioms go beyond the iterative conception.
     From: report of George Boolos (The iterative conception of Set [1971]) by Penelope Maddy - Naturalism in Mathematics I.3
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
     Full Idea: I regard you all as relatives - by nature, not by convention. By nature like is akin to like, but convention is a tyrant over humankind and often constrains people to act contrary to nature.
     From: Hippias (fragments/reports [c.430 BCE]), quoted by Plato - Protagoras 337c8