Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'On Duties ('De Officiis')' and 'Remarks on the definition and nature of mathematics'

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7 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Cicero sees wisdom in terms of knowledge, but earlier Stoics saw it as moral [Cicero, by Long]
     Full Idea: Cicero (drawing on Panaetius) treats wisdom as if its province were primarily a disinterested pursuit of knowledge. But earlier Stoics gave purely moral definitions of wisdom.
     From: report of M. Tullius Cicero (On Duties ('De Officiis') [c.44 BCE], 1.11-20) by A.A. Long - Hellenistic Philosophy 5
     A reaction: I would have thought that after long discussion most ancient (and even modern) philosophers would conclude that it is both. The 'intellectualism' of Socrates hovers in the background, implying that healthy knowledge produces virtue.
1. Philosophy / A. Wisdom / 2. Wise People
Unfortunately we choose a way of life before we are old enough to think clearly [Cicero]
     Full Idea: At the beginning of adolescence when our deliberative capacities are weak we decide on the way of life that we find attractive. So one gets entangled in a definite manner and pattern of life before one is able to judge which one is best.
     From: M. Tullius Cicero (On Duties ('De Officiis') [c.44 BCE], 1.117)
     A reaction: Hence it is important to have lots of means for bailing out of education courses, jobs, and even marriage. At least university postpones the key life choices till the early twenties.
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
     Full Idea: In the study of formal systems we do not confine ourselves to the derivation of elementary propositions step by step. Rather we take the system, defined by its primitive frame, as datum, and then study it by any means at our command.
     From: Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The formalist')
     A reaction: This is what may potentially lead to an essentialist view of such things. Focusing on bricks gives formalism, focusing on buildings gives essentialism.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
     Full Idea: According to realism, mathematical propositions express the most general properties of our physical environment. This is the primitive view of mathematics, yet on account of the essential role played by infinity in mathematics, it is untenable today.
     From: Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The problem')
     A reaction: I resist this view, because Curry's view seems to imply a mad metaphysics. Hilbert resisted the role of the infinite in essential mathematics. If the physical world includes its possibilities, that might do the job. Hellman on structuralism?
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Saying mathematics is logic is merely replacing one undefined term by another [Curry]
     Full Idea: To say that mathematics is logic is merely to replace one undefined term by another.
     From: Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'Mathematics')
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 / D. Deontological Ethics / 3. Universalisability
The essence of propriety is consistency [Cicero]
     Full Idea: The whole essence of propriety is quite certainly consistency.
     From: M. Tullius Cicero (On Duties ('De Officiis') [c.44 BCE], 1.110)
     A reaction: This seems to me the key intuition on which Kant built his deontological ethical theory. However, opponents say the consistency requires principles, and these are the enemies of truly good human behaviour, which involves Aristotle's 'particulars'.