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All the ideas for 'Mahaprajnaparamitashastra', 'Intro to Naming,Necessity and Natural Kinds' and 'Mathematical Thought from Ancient to Modern Times'

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6 ideas

2. Reason / D. Definition / 1. Definitions
The new view is that "water" is a name, and has no definition [Schwartz,SP]
     Full Idea: Perhaps the modern view is best expressed as saying that "water" has no definition at all, at least in the traditional sense, and is a proper name of a specific substance.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: This assumes that proper names have no definitions, though I am not clear how we can grasp the name 'Aristotle' without some association of properties (human, for example) to go with it. We need a definition of 'definition'.
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP]
     Full Idea: We can refer to Thales by using the name "Thales" even though perhaps the only description we can supply is false of him.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: It is not clear what we would be referring to if all of our descriptions (even 'Greek philosopher') were false. If an archaeologist finds just a scrap of stone with a name written on it, that is hardly a sufficient basis for successful reference.
The traditional theory of names says some of the descriptions must be correct [Schwartz,SP]
     Full Idea: The traditional theory of proper names entails that at least some combination of the things ordinarily believed of Aristotle are necessarily true of him.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: Searle endorses this traditional theory. Kripke and co. tried to dismiss it, but you can't. If all descriptions of Aristotle turned out to be false (it was actually the name of a Persian statue), our modern references would have been unsuccessful.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]
     Full Idea: The axiomatic method ....revealed precisely what assumptions underlie each branch [of mathematics] and made possible the comparison and clarification of the relationships of various branches.
     From: Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3
     A reaction: I take this to be the 'fruitfulness' which marks out the discovery of the essence of something.
18. Thought / C. Content / 8. Intension
The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP]
     Full Idea: The conjunction of properties associated with a term such as "lemon" is often called the intension of the term "lemon".
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §II)
     A reaction: The extension of "lemon" is the set of all lemons. At last, a clear explanation of the word 'intension'! The debate becomes clear - over whether the terms of a language are used in reference to ideas of properties (and substances?), or to external items.
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').