Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Schopenhauer' and 'Reals by Abstraction'

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3 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
We become objective when we detach ourselves from the world [Janaway]
     Full Idea: We apprehend the world purely objectively, only when we no longer know that we belong to it.
     From: Christopher Janaway (Schopenhauer [1994], II:368), quoted by Christopher Janaway - Schopenhauer 6 'Objectivity'
     A reaction: Since we are not actually detached from the world, that makes objective thought an act of imagination. And none the worse for that, I would say, since philosophers don't seem to understand the central epistemological importance of imagination.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
     Full Idea: The real numbers may be introduced by abstraction as ratios of quantities. ..They are not defined by Dedekind cuts; rather, the cuts constitute a domain with the properties that are a necessary precondition.
     From: report of Bob Hale (Reals by Abstraction [1998]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' 3.3
     A reaction: This is Hale's neo-logicist attempt to derive the real numbers from Hume's Principle.
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').