Combining Texts

All the ideas for 'fragments/reports', 'Cours d'Analyse' and 'Proper Names'

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


8 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
We don't normally think of names as having senses (e.g. we don't give definitions of them) [Searle]
     Full Idea: If Tully=Cicero is synthetic, the names must have different senses, which seems implausible, for we don't normally think of proper names as having senses in the way that predicates do (we do not, e.g., give definitions of proper names).
     From: John Searle (Proper Names [1958], p.89)
     A reaction: It is probably necessary to prize apart the question of whether Tully 'has' (intrinsically) a sense, from whether we think of Tully in that way. Stacks of books have appeared about this one, since Kripke.
How can a proper name be correlated with its object if it hasn't got a sense? [Searle]
     Full Idea: It seems that a proper name could not have a reference unless it did have a sense, for how, unless the name has a sense, is it to be correlated with the object?
     From: John Searle (Proper Names [1958], p.91)
     A reaction: This might (just) be the most important question ever asked in modern philosophy, since it provoked Kripke into answering it, by giving a social, causal, externalist account of how names (and hence lots of language) actually work. But Searle has a point.
'Aristotle' means more than just 'an object that was christened "Aristotle"' [Searle]
     Full Idea: Aristotle being identical with an object that was originally christened will not suffice, for the force of "Aristotle" is greater than the force of 'identical with an object named "Aristotle"', for not just any object named "Aristotle" will do.
     From: John Searle (Proper Names [1958], p.93)
     A reaction: This anticipates Kripke's proposal to base reference on baptism. I remain unsure about how rigid a designation of Aristotle could be, in a possible world where his father died young, and he became an illiterate soldier who hates philosophy.
Reference for proper names presupposes a set of uniquely referring descriptions [Searle]
     Full Idea: To use a proper name referringly is to presuppose the truth of certain uniquely referring descriptive statements. ...Names are pegs on which to hang descriptions.
     From: John Searle (Proper Names [1958], p.94)
     A reaction: This 'cluster' view of Searle's has become notorious, but I think one could at least try to mount a defence. The objection to Searle is that none of the descriptions are necessary, unlike just being the named object.
Proper names are logically connected with their characteristics, in a loose way [Searle]
     Full Idea: If asked whether or not proper names are logically connected with characteristics of the object to which they refer, the answer is 'yes, in a loose sort of way'.
     From: John Searle (Proper Names [1958], p.96)
     A reaction: It seems to be inviting trouble to assert that a connection is both 'logical' and 'loose'. Clearly Searle has been reading too much later Wittgenstein. This is probably the weakest point in Searle's proposal, which brought a landslide of criticism.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
     Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit.
     From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
     A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
     Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
     From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
     A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?