Combining Texts

All the ideas for 'fragments/reports', 'Cogitata et Visa' and 'Lecture on Applicability of Mathematics'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
It is spooky the way mathematics anticipates physics [Weinberg]
     Full Idea: It is positively spooky how the physicist finds the mathematician has been there before him or her.
     From: Steven Weinberg (Lecture on Applicability of Mathematics [1986], p.725), quoted by Stewart Shapiro - Thinking About Mathematics 2.3
     A reaction: This suggests that mathematics might be the study of possibilities or hypotheticals, like mental rehearsals for physics. See Hellman's modal structuralism. Maybe mathematicians are reading the mind of God, but I doubt that.
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricists are collecting ants; rationalists are spinning spiders; and bees do both [Bacon]
     Full Idea: Empiricists are like ants; they collect and put to use; but rationalists, like spiders, spin threads out of themselves. (…and bees follow the middle way, of collecting material and transforming it).
     From: Francis Bacon (Cogitata et Visa [1607])
     A reaction: Nice (and so concisely expressed). Bees seem to be just more intelligent and energetic empiricists.
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.