Combining Texts

All the ideas for 'fragments/reports', 'Philosophical Analysis' and 'Later Letters to Dedekind'

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4 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis aims at the structure of facts, which are needed to give a rationale to analysis [Urmson, by Schaffer,J]
     Full Idea: Urmson explains the direction of analysis as 'towards a structure...more nearly similar to the structure of the fact', adding that this metaphysical picture is needed as a 'rationale of the practice of analysis'.
     From: report of J.O. Urmson (Philosophical Analysis [1956], p.24-5) by Jonathan Schaffer - On What Grounds What n30
     A reaction: In other words, only realists can be truly motivated to keep going with analysis. Merely analysing language-games is doable, but hardly exciting.
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.
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.