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All the ideas for 'Necessary Existents', '11: Book of Kings 1' and 'fragments/reports'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / n. Pi
He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)]
     Full Idea: And he made a molten sea, ten cubits from the one brim to the other; it was round all about, and his height was five cubits: and a line of cubits did compass it round about.
     From: Anon (Kings) (11: Book of Kings 1 [c.550 BCE], 7:23)
     A reaction: In the sixth century BCE, this appears to give 3 as the value of Pi, though perhaps it shouldn't be taken too literally!
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
     Full Idea: A proposition about an item exists only if that item exists... how could something be the proposition that that dog is barking in circumstances in which that dog does not exist?
     From: Timothy Williamson (Necessary Existents [2002], p.240), quoted by Trenton Merricks - Propositions
     A reaction: This is a view of propositions I can't make sense of. If I'm under an illusion that there is a dog barking nearby, when there isn't one, can I not say 'that dog is barking'? If I haven't expressed a proposition, what have I done?
19. Language / F. Communication / 3. Denial
Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]
     Full Idea: Prodicus insists that contradiction is impossible, since if two people are contradicting each other, they cannot both be speaking of the same fact. Only the one who is speaking the truth is speaking of facts as they are; the other does not speak facts.
     From: report of Prodicus (fragments/reports [c.423 BCE]) by Didymus the Blind - Commentary on Ecclesiastes (frags)
     A reaction: cf. Kant's 100 thalers example
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]
     Full Idea: In the old days people regarded the sun, the moon, rivers, springs, and everything else which is helpful for life as gods, because we are helped by them, just as the Egyptians regard the Nile as a god.
     From: Prodicus (fragments/reports [c.423 BCE], B05), quoted by Sextus Empiricus - Against the Professors (six books) 9.18
28. God / C. Attitudes to God / 5. Atheism
He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]
     Full Idea: He says that the gods worshipped by men neither exist nor have knowledge, but that the ancients exalted crops and everything else which is useful for life.
     From: Prodicus (fragments/reports [c.423 BCE]), quoted by Anon (Herc) - fragments 1428 19.12
The gods are just personified human benefits [Prodicus]
     Full Idea: Things from which benefits to human life have been derived have come to be considered deities, such as Demeter and Dionysus.
     From: Prodicus (fragments/reports [c.423 BCE], B5), quoted by (who?) - where?