Combining Texts

All the ideas for 'fragments/reports', 'Concepts of supervenience' and 'Later Letters to Dedekind'

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake]
     Full Idea: Cantor gives informal versions of the axioms of ZF as ways of getting from one set to another.
     From: report of George Cantor (Later Letters to Dedekind [1899]) by John Lake - Approaches to Set Theory 1.6
     A reaction: Lake suggests that it should therefore be called CZF.
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenient properties must have matching base properties [Kim]
     Full Idea: Each supervenient property necessarily has a coextensive property in the base family.
     From: Jaegwon Kim (Concepts of supervenience [1984], §5)
     A reaction: This is presumably the minimum requirement for a situation of supervenience. How do you decide which property is the 'base' property? Do we just mean that the base causes the other, but not vice versa?
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.