Combining Texts

All the ideas for 'A Problem about Substitutional Quantification?st1=Saul A. Kripke', 'Thought and Talk' and 'What Numbers Are'

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11 ideas

3. Truth / A. Truth Problems / 1. Truth
A sentence is held true because of a combination of meaning and belief [Davidson]
     Full Idea: A sentence is held true because of two factors: what the holder takes the sentence to mean, and what he believes.
     From: Donald Davidson (Thought and Talk [1975], p.20)
     A reaction: A key question is whether a belief (e.g. an imagistic one, or one held by an animal) could be true, even though no sentence is involved. Linguistic philosophers tend to avoid this question, or assume the answer is 'no'.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]
     Full Idea: Kripke proposes that the substitutional quantifier is not a replacement for, or in competition with, the standard interpretation.
     From: report of Saul A. Kripke (A Problem about Substitutional Quantification? [1976]) by Ruth Barcan Marcus - Nominalism and Substitutional Quantifiers p.165
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
     Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers.
     From: Nicholas P. White (What Numbers Are [1974], V)
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
     Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege.
     From: Nicholas P. White (What Numbers Are [1974], IV)
     A reaction: [He adds Quine 1960:268 as a reference]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Having a belief involves the possibility of being mistaken [Davidson]
     Full Idea: Someone cannot have a belief unless he understands the possibility of being mistaken.
     From: Donald Davidson (Thought and Talk [1975], p.170)
     A reaction: If you pretend to throw a ball for a dog, but don't release it, the dog experiences being mistaken very dramatically.
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
The concept of belief can only derive from relationship to a speech community [Davidson]
     Full Idea: We have the idea of belief from its role in the interpretation of language; as a private attitude it is not intelligible except in relation to public language. So a creature must be a member of a speech community to have the concept of belief.
     From: Donald Davidson (Thought and Talk [1975], p.22)
     A reaction: This shows how Wittgenstein's Private Language Argument (e.g. Idea 4152) hovers behind Davidson's philosophy. The idea is quite persuasive. A solitary creature just follows its mental states. The question of whether it believes them is a meta-thought.
18. Thought / A. Modes of Thought / 1. Thought
Thought depends on speech [Davidson]
     Full Idea: The thesis I want to refine and then argue for is that thought depends on speech.
     From: Donald Davidson (Thought and Talk [1975], p.8)
     A reaction: This has the instant and rather implausible implication that animals don't think. He is not, of course, saying that all thought is speech, which would leave out thinking in images. You can't do much proper thought without concepts and propositions.
18. Thought / A. Modes of Thought / 8. Human Thought
A creature doesn't think unless it interprets another's speech [Davidson]
     Full Idea: A creature cannot have a thought unless it is an interpreter of the speech of another.
     From: Donald Davidson (Thought and Talk [1975], p.9)
     A reaction: His use of the word 'creature' shows that he is perfectly aware of the issue of whether animals think, and he is, presumably, denying it. At first glance this sounds silly, but maybe animals don't really 'think', in our sense of the word.
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
Concepts are only possible in a language community [Davidson]
     Full Idea: A private attitude is not intelligible except as an adjustment to the public norms provided by language. It follows that a creature must be a member of speech community if it is to have the concept of belief.
     From: Donald Davidson (Thought and Talk [1975], p.170)
     A reaction: This obviously draws on Wittgenstein's private language argument, and strikes me as blatantly wrong, because I take higher animals to have concepts without language. Pure vision gives rise to concepts. I don't even think they are necessarily conscious.
19. Language / A. Nature of Meaning / 6. Meaning as Use
An understood sentence can be used for almost anything; it isn't language if it has only one use [Davidson]
     Full Idea: Once a sentence is understood, an utterance of it may be used to serve almost any extra-linguistic purpose; an instrument that could be put to only one use would lack autonomy of meaning, which means it should not be counted as language.
     From: Donald Davidson (Thought and Talk [1975], p.17)
     A reaction: I find this point very appealing, in opposition to the Wittgenstein view of meaning as use. Passwords seem to me a striking case of the separation of meaning and use. I like the phrase 'autonomy of meaning'. Random sticks can form a word.
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
The pattern of sentences held true gives sentences their meaning [Davidson]
     Full Idea: Although most utterances are not concerned with truth, it is the pattern of sentences held true that gives sentences their meaning.
     From: Donald Davidson (Thought and Talk [1975], p.14)
     A reaction: Davidson's distinctive version of meaning holism, as opposed to Quine's rather behaviouristic version. I agree that we relate to people through the pattern of sentences they hold true, but I am unconvinced that this 'gives sentences their meaning'.