Combining Philosophers

All the ideas for Agathon, Zoroaster and Archimedes

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
10. Modality / C. Sources of Modality / 2. Necessity as Primitive
Even God could not undo what has been done [Agathon]
     Full Idea: One thing is denied even to God: to make what has been done undone again.
     From: Agathon (plays (frags) [c.410 BCE]), quoted by Aristotle - Nicomachean Ethics 1139b09
     A reaction: a quotation - cf the Euthyphro Question
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Zoroaster and the Hebrew prophets evolved different versions of monotheism [Zoroaster, by Armstrong,K]
     Full Idea: Zoroaster and the Hebrew prophets evolved different versions of monotheism.
     From: report of Zoroaster (The Gathas (seventeen hymns) [c.900 BCE]) by Karen Armstrong - A History of God Ch.1
     A reaction: This seems to be the consensus on the origins of monotheism, which places the development much earlier than the appearance of the idea in Greek philosophy.
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
Zarathustra was the first to present a god who is an abstract concept [Zoroaster]
     Full Idea: Zarathustra's achievement was for the first time to present a god who is an abstract concept - he broke with the tradition of a pantheon of gods.
     From: Zoroaster (The Gathas (seventeen hymns) [c.900 BCE]), quoted by Peter Watson - Ideas Ch.05
     A reaction: The more abstract the gods become, the harder it is to challenge their existence.
Zoroastrianism saw the world as a battle between good evil gods [Zoroaster, by Harari]
     Full Idea: Zoroastrianism saw the world as a cosmic battle between the good god Ahura Mazda and the evil god Angra Mainyu.
     From: report of Zoroaster (The Gathas (seventeen hymns) [c.900 BCE]) by Yuval Noah Harari - Sapiens: brief history of humankind 12 'Battle'
     A reaction: Hm. This contradicts the impression I had gained that it was monotheist.