Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Mathematical Explanation' and 'Repetition'

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6 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.
9. Objects / D. Essence of Objects / 3. Individual Essences
Particular essence is often captured by generality [Steiner,M]
     Full Idea: Generality is often necessary for capturing the essence of a particular.
     From: Mark Steiner (Mathematical Explanation [1978], p.36)
     A reaction: The most powerful features of an entity are probably those which are universal, like intelligence or physical strength in a human. Those characteristics are powerful because they compete with the same characteristic in others (perhaps?).
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M]
     Full Idea: Maybe to deduce a theorem as an instance of a generalization is more explanatory than to deduce it correctly.
     From: Mark Steiner (Mathematical Explanation [1978], p.32)
     A reaction: Steiner eventually comes down against this proposal, on the grounds that some proofs are too general, and hence too far away from the thing they are meant to explain.
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]
     Full Idea: My proposal is that an explanatory proof makes reference to the 'characterizing property' of an entity or structure mentioned in the theorem, where the proof depends on the property. If we substitute a different object, the theory collapses.
     From: Mark Steiner (Mathematical Explanation [1978], p.34)
     A reaction: He prefers 'characterizing property' to 'essence', because he is not talking about necessary properties, since all properties are necessary in mathematics. He is, in fact, reverting to the older notion of an essence, as the core power of the thing.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
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.