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All the ideas for 'The Lagoon: how Aristotle invented science', 'The Histories' and 'Sources of Knowledge of Mathematics'

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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.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
     Full Idea: Near the end of his life, Frege completely abandoned his logicism, and came to the conclusion that the source of our arithmetical knowledge is what he called 'the Geometrical Source of Knowledge'.
     From: report of Gottlob Frege (Sources of Knowledge of Mathematics [1922]) by Charles Chihara - A Structural Account of Mathematics Intro n3
     A reaction: We have, rather crucially, lost touch with the geometrical origins of arithmetic (such as 'square' numbers), which is good news for the practice of mathematics, but probably a disaster for the philosophy of the subject.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]
     Full Idea: The Egyptians were the first to claim that the soul of a human being is immortal, and that each time the body dies the soul enters another creature just as it is being born.
     From: Herodotus (The Histories [c.435 BCE], 2.123.2)