Combining Texts

All the ideas for 'poems', 'Philosophical Fragments' 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

17831	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 / A. Nature of Existence / 5. Reason for Existence

16007	I assume existence, rather than reasoning towards it [Kierkegaard]
	Full Idea: I always reason from existence, not towards existence.
	From: Søren Kierkegaard (Philosophical Fragments [1844], p.40)
	A reaction: Kierkegaard's important premise to help show that theistic proofs for God's existence don't actually prove existence, but develop the content of a conception. [SY]

10. Modality / A. Necessity / 2. Nature of Necessity

16013	Nothing necessary can come into existence, since it already 'is' [Kierkegaard]
	Full Idea: Can the necessary come into existence? That is a change, and everything that comes into existence demonstrates that it is not necessary. The necessary already 'is'.
	From: Søren Kierkegaard (Philosophical Fragments [1844], p.74)
	A reaction: [SY]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]
	Full Idea: Nomos is king.
	From: Pindar (poems [c.478 BCE], S 169), quoted by Thomas Nagel - The Philosophical Culture
	A reaction: This seems to be the earliest recorded shot in the nomos-physis wars (the debate among sophists about moral relativism). It sounds as if it carries the full relativist burden - that all that matters is what has been locally decreed.