Combining Texts

All the ideas for 'fragments/reports', 'The Foundations of Mathematics (2nd ed)' and 'Whose Justice? Which Rationality?'

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5 ideas

8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
     Full Idea: R is an equivalence relation on A iff R is reflexive, symmetric and transitive on A.
     From: Kenneth Kunen (The Foundations of Mathematics (2nd ed) [2012], I.7.1)
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch]
     Full Idea: MacIntyre formulates relativism in terms of rationality rather than truth or objectivity. Things are rational relative to some particular tradition, but not rational as such.
     From: report of Alasdair MacIntyre (Whose Justice? Which Rationality? [1988], p.352) by Martin Kusch - Knowledge by Agreement Ch.19
     A reaction: Personally I had always taken it to be about truth, and I expect any account of rationality to be founded on a notion of truth. There can clearly be cultural traditions of evidence, and possibly even of logic (though I doubt it).
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre]
     Full Idea: Contemporary debates within modern political systems are almost exclusively between conservative liberals, liberal liberals, and radical liberals. There is little place for the criticism of the system itself.
     From: Alasdair MacIntyre (Whose Justice? Which Rationality? [1988]), quoted by John Kekes - Against Liberalism 01
     A reaction: [No page number given] Kekes seems to be more authoritarian, and MacIntyre is a communitarian (which can be rather authoritarian). I'm dubious about both.
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.