Combining Texts

All the ideas for 'fragments/reports', 'Lectures on the Philosophy of (World) History' and 'Universal Arithmetick'

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5 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
If we look at the world rationally, the world assumes a rational aspect [Hegel]
     Full Idea: Whoever looks at the world rationally will find that it in turn assumes a rational aspect; the two exist in a reciprocal relationship.
     From: Georg W.F.Hegel (Lectures on the Philosophy of (World) History [1837], p.29), quoted by Stephen Houlgate - An Introduction to Hegel 01
     A reaction: What happens when I look at irrationality rationally?
2. Reason / A. Nature of Reason / 1. On Reason
The world seems rational to those who look at it rationally [Hegel]
     Full Idea: To him who looks at the world rationally, the world looks rationally back; the two exist in reciprocal relationship.
     From: Georg W.F.Hegel (Lectures on the Philosophy of (World) History [1837], Intro p.29), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.4
     A reaction: This is a nice variation on the stoic idea that nature is essentially rational. If we are capable of rationality, then nature has made us that way. Romantics seem to prefer looking at nature less rationally, so what do they see in nature?
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
     Full Idea: By a Number we understand not so much a Multitude of Unities, as the abstracted Ratio of any Quantity to another Quantity of the same Kind, which we take for unity.
     From: Isaac Newton (Universal Arithmetick [1669]), quoted by John Mayberry - What Required for Foundation for Maths? p.407-2
     A reaction: This needs a metaphysics of 'kinds' (since lines can't have ratios with solids). Presumably Newton wants the real numbers to be more basic than the natural numbers. This is the transition from Greek to modern.
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.