Combining Philosophers

All the ideas for Irenaeus, Archimedes and John M. Cooper

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3 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.
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
The Greek 'philia' covers all good and fruitful relationships [Cooper,JM]
     Full Idea: The Greek 'philia' is much wider than our "friendship"; it includes family relationships, and business relationships and membership of institutions.
     From: John M. Cooper (Aristotle on Friendship [1977], p.301)
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Irenaeus says evil is necessary for perfect human development [Irenaeus, by Davies,B]
     Full Idea: Echoing Irenaeus, John Hick argues that the existence of evil is necessary for the perfect development of human beings. Hick understands evil in the light of God's desire not to coerce people into accepting him.
     From: report of Irenaeus (works [c.190]) by Brian Davies - Introduction to the Philosophy of Religion 3 'Notable'
     A reaction: I don't suppose I could opt out of perfect development? If I endure the evil, can I be guaranteed that my development will be 'perfect'. Oh, and could I just check what is meant by 'development'?