Combining Texts

All the ideas for 'fragments/reports', 'Lectura' and 'Realism, Mathematics and Modality'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
8714 Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]
     Full Idea: The fictionalist can say that the sense in which '2+2=4' is true is pretty much the same as the sense in which 'Oliver Twist lived in London' is true. They are true 'according to a well-known story', or 'according to standard mathematics'.
     From: Hartry Field (Realism, Mathematics and Modality [1989], 1.1.1), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 6.3
     A reaction: The roots of this idea are in Carnap. Fictionalism strikes me as brilliant, but poisonous in large doses. Novels can aspire to artistic truth, or to documentary truth. We invent a fiction, and nudge it slowly towards reality.
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
16650 'Unity' is a particularly difficult word, because things can have hidden unity [Duns Scotus]
     Full Idea: I believe that 'unity' is one of the more difficult words in philosophy, for there are in things many hidden (occultae) unities that are obscure to us.
     From: John Duns Scotus (Lectura [1298], I.17.2.4), quoted by Robert Pasnau - Metaphysical Themes 1274-1671
     A reaction: Some examples would be nice. Do the Earth and the Moon form a unity, because of gravity? How ponders whether whiteness and a white man are unified.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.