Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Quine on Quantifying In' and 'Letter to Weber'

unexpand these ideas     |    start again     |     specify just one area for these texts

---

4 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

12220	Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]
	Full Idea: Do we attribute a logical form to a sentence token because it is a token of a type with that form, or do we attribute a logical form to a sentence type because it is a type of a token with that form?
	From: Kit Fine (Quine on Quantifying In [1990], p.110)
	A reaction: Since I believe in propositions (as the unambiguous thought that lies behind a sentence), I take it that logical form concerns propositions, though strict logicians don't like this, for fear that logic spills into psychology.

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

12222	Substitutional quantification is referential quantification over expressions [Fine,K]
	Full Idea: Substitutional quantification may be regarded as referential quantification over expressions.
	From: Kit Fine (Quine on Quantifying In [1990], p.124)
	A reaction: This is an illuminating gloss. Does such quantification involve some ontological commitment to expressions? I feel an infinite regress looming.

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

18244	I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]
	Full Idea: Of my theory of irrationals you say that the irrational number is nothing else than the cut itself, whereas I prefer to create something new (different from the cut), which corresponds to the cut. We have the right to claim such a creative power.
	From: Richard Dedekind (Letter to Weber [1888], 1888 Jan), quoted by Stewart Shapiro - Philosophy of Mathematics 5.4
	A reaction: Clearly a cut will not locate a unique irrational number, so something more needs to be done. Shapiro remarks here that for Dedekind numbers are objects.

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

7903	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').