Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Resemblance Nominalism and Russell's Regress' and 'Some Models for Implicature'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Resemblance Nominalists say that resemblance explains properties (not the other way round) [Rodriquez-Pereyra]
     Full Idea: Resemblance Nominalists cannot explain the resemblance between particulars in terms of their properties, because they explain particulars' properties in terms of their resemblances.
     From: Gonzalo Rodriguez-Pereyra (Resemblance Nominalism and Russell's Regress [2001], p.397), quoted by Douglas Edwards - Properties 5.5.1
     A reaction: While resemblance does seem to be a primitive fact of experience, and it points us towards the properties, to say that resemblance explains properties is obviously (as so often...) getting things the wrong way round. Properties ARE resemblances??
19. Language / A. Nature of Meaning / 6. Meaning as Use
Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
     Full Idea: The slogan that meaning is use came under scrutiny by Grice's theory of conversational implicature. He said patterns of use shown in analysis were often semantically irrelevant, snce they are due not meanings of expressions but to pragmatic principles.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Hans-Johann Glock - What is Analytic Philosophy? 2.8
     A reaction: I think the simplest objection is that words only have use because they have a meaning; The most interesting part of pragmatics is what you DON'T say in conversation.
19. Language / F. Communication / 5. Pragmatics / b. Implicature
Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
     Full Idea: Grice's maxim of quality says one ought not to assert what one believes to be false.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Ofra Magidor - Category Mistakes 5.2
     A reaction: The obvious exception is irony, where are truth is asserted, but the listener is supposed to spot that you are not really asserting it.
Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]
     Full Idea: Grice's maxim of quantity says 'make your contributions as informative as required'.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Ofra Magidor - Category Mistakes 5.2
     A reaction: Is the 'requirement' of informative for the speaker or for the listener? It is easy to image situations where, one way or the other, the two people don't agree about informativenss.
Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
     Full Idea: Grice's maxim of manner requires one to be as brief as possible.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Ofra Magidor - Category Mistakes 5.2
     A reaction: An alternative maxim of conversation is that there should not be long silences between contributions - which would probably result if the contributions are all curtly abbreviated.