Combining Texts

All the ideas for 'fragments/reports', 'On the Nature of Mathematical Reasoning' and 'Title, Unity, Authenticity of the 'Categories''

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4 ideas

1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / b. Early medieval philosophy
Earlier views of Aristotle were dominated by 'Categories' [Frede,M]
     Full Idea: For centuries 'Categories' and 'De Interpretatione' (+ Porphyry's 'Isagoge') formed the core of the philosophical corpus still being seriously studied. It is hardly surprising that our received view of Aristotle was coloured substantially by 'Categories'.
     From: Michael Frede (Title, Unity, Authenticity of the 'Categories' [1983], I)
     A reaction: He adds that doubts remain about the authenticity of the second part, and the whole thing bears marks of having been edited.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
     Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects.
     From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
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
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.