Combining Texts

All the ideas for 'fragments/reports', 'Set Theory and related topics (2nd ed)' and 'Repetition'

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4 ideas

3. Truth / A. Truth Problems / 8. Subjective Truth
Subjective truth can only be sustained by repetition [Kierkegaard, by Carlisle]
     Full Idea: If subjective truth is to be more than momentary, it has to be repeated continually.
     From: report of Søren Kierkegaard (Repetition [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 4
     A reaction: This might apply to more traditional concepts of truth, if they are to be part of life, rather than remaining in books.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
     Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
     From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
     A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part
10. Modality / A. Necessity / 8. Transcendental Necessity
Everything happens by reason and necessity [Leucippus]
     Full Idea: Nothing happens at random; everything happens out of reason and by necessity.
     From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where?
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Life is a repetition when what has been now becomes [Kierkegaard]
     Full Idea: When one says that life is a repetition one affirms that existence which has been now becomes.
     From: Søren Kierkegaard (Repetition [1843], p.49), quoted by Clare Carlisle - Kierkegaard: a guide for the perplexed 4
     A reaction: Not sure I understand this, but it seems very close to Nietzsche's Eternal Recurrence.