Combining Texts

All the ideas for 'Thought and Talk', 'The philosophical basis of intuitionist logic' and 'Structure and Ontology'

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14 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'.
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
     Full Idea: Dummett argues that classical logic depends on the choice of the concept of truth as central to the theory of meaning, while for the intuitionist the concept of assertability occupies this position.
     From: report of Michael Dummett (The philosophical basis of intuitionist logic [1973]) by Philip Kitcher - The Nature of Mathematical Knowledge 06.5
     A reaction: Since I can assert any nonsense I choose, this presumably means 'warranted' assertability, which is tied to the concept of proof in mathematics. You can reason about falsehoods, or about uninterpreted variables. Can you 'assert' 'Fx'?
5. Theory of Logic / G. Quantification / 1. Quantification
Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
     Full Idea: Classical quantification represents an infinite conjunction or disjunction, and the truth-value is determined by the infinite sum or product of the instances ....but this presupposes that all the instances already possess determinate truth-values.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.246)
     A reaction: In the case of the universal quantifier, Dummett is doing no more than citing the classic empiricism objection to induction - that you can't make the universal claim if you don't know all the instances. The claim is still meaningful, though.
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.
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
A structure is an abstraction, focussing on relationships, and ignoring other features [Shapiro]
     Full Idea: A structure is the abstract form of a system, focussing on the interrelationships among the objects, and ignoring any features of them that do not affect how they relate to other objects in the system.
     From: Stewart Shapiro (Structure and Ontology [1989], 146), quoted by James Robert Brown - Philosophy of Mathematics Ch.4
     A reaction: I find this account very attractive, even though it appeals to supposedly outmoded psychological abstractionism. It seems pretty close to Aristotle's view of things. Shapiro's account must face up to Frege's worries about these matters.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
     Full Idea: An ability to state the condition for the truth of a sentence is, in effect, no more than an ability to express the content of the sentence in other words.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.224)
     A reaction: Alternatively, if you give something other than a paraphrase of the sentence as its meaning (such as a proof of its truth), then you seem to have departed from your target sentence. Can we reduce and eliminate our sentences in this way?
If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
     Full Idea: If a sentence is effectively undecidable, the condition which must obtain for it to be true is not one which we are capable of recognising whenever it obtains, or of getting ourselves in a position to do so.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.225)
     A reaction: The instances of 'undecidable' sentences are most clearly seen in mathematics, such as the Continuum Hypothesis or Goldbach's Conjecture, or anything involving vast infinite cardinals. But do you need precise truth-conditions for meaning?
19. Language / A. Nature of Meaning / 6. Meaning as Use
Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]
     Full Idea: If use constitutes meaning, it might seem that use is beyond criticism. ....But such an attitude can, ultimately, be supported onlly by the adoption of a holistic view of language.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.218)
     A reaction: Dummett goes on to say that the rejection of the holistic view of mathematical meaning leads to his preference for intuitionistic logic.
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'.