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All the ideas for 'Mathematics without Numbers', 'The Concept of Mind' and 'Propositions'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to become more disciplined about categories [Ryle]
     Full Idea: Philosophy is the replacement of category-habits by category-disciplines.
     From: Gilbert Ryle (The Concept of Mind [1949], Intro p.8), quoted by Ofra Magidor - Category Mistakes 1.2
     A reaction: I rather like this. It fits the view the idea that metaphysics aims to give the structure of reality. If there are not reasonably uniform categories for things, then reality is indescribable. Improving our categories seems a thoroughly laudable aim.
3. Truth / A. Truth Problems / 5. Truth Bearers
Are the truth-bearers sentences, utterances, ideas, beliefs, judgements, propositions or statements? [Cartwright,R]
     Full Idea: What is it that is susceptible of truth or falsity? The answers suggested constitute a bewildering variety: sentences, utterances, ideas, beliefs, judgments, propositions, statements.
     From: Richard Cartwright (Propositions [1962], 01)
     A reaction: Carwright's answer is 'statements', which seem to be the same as propositions.
Logicians take sentences to be truth-bearers for rigour, rather than for philosophical reasons [Cartwright,R]
     Full Idea: The current fashion among logicians of taking sentences to be the bearers of truth and falsity indicates less an agreement on philosophical theory than a desire for rigor and smoothness in calculative practice.
     From: Richard Cartwright (Propositions [1962], 01)
     A reaction: A remark close to my heart. Propositions are rejected first because language offers hope of answers, then because they seem metaphysically odd, and finally because you can't pin them down rigorously. But the blighters won't lie down and die.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
     Full Idea: The modal structuralist thinks of mathematical structures as possibilities. The application of mathematics is just the realisation that a possible structure is actualised. As structures are possibilities, realist ontological problems are avoided.
     From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Michèle Friend - Introducing the Philosophy of Mathematics 4.3
     A reaction: Friend criticises this and rejects it, but it is appealing. Mathematics should aim to be applicable to any possible world, and not just the actual one. However, does the actual world 'actualise a mathematical structure'?
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
     Full Idea: Hellman represents statements of pure mathematics as elliptical for modal conditionals of a certain sort.
     From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Charles Chihara - A Structural Account of Mathematics 5.3
     A reaction: It's a pity there is such difficulty in understanding conditionals (see Graham Priest on the subject). I intuit a grain of truth in this, though I take maths to reflect the structure of the actual world (with possibilities being part of that world).
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
     Full Idea: The usual way to show that a sentence is possible is to show that it has a model, but for Hellman presumably a sentence is possible if it might have a model (or if, possibly, it has a model). It is not clear what this move brings us.
     From: comment on Geoffrey Hellman (Mathematics without Numbers [1989]) by Stewart Shapiro - Philosophy of Mathematics 7.3
     A reaction: I can't assess this, but presumably the possibility of the model must be demonstrated in some way. Aren't all models merely possible, because they are based on axioms, which seem to be no more than possibilities?
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
A dispositional property is not a state, but a liability to be in some state, given a condition [Ryle]
     Full Idea: To possess a dispositional property is not to be in a particular state;..it is to be bound or liable to be in a particular state, or undergo a particular change, when a particular condition is realized.
     From: Gilbert Ryle (The Concept of Mind [1949], II (7))
     A reaction: Whether this view is correct is the central question about dispositions. Ryle's view is tied in with Humean regularities and behaviourism about mind. The powers view, which I favour, says a disposition is a drawn bow, an actual state of power.
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
No physical scientist now believes in an occult force-exerting agency [Ryle]
     Full Idea: The old error treating the term 'Force' as denoting an occult force-exerting agency has been given up in the physical sciences.
     From: Gilbert Ryle (The Concept of Mind [1949], V (1))
     A reaction: Since 1949 they seem to have made a revival, once they are divested of their religious connotations. The word 'agency' is the misleading bit. Even Leibniz's monads weren't actual agents - he always said that was 'an analogy'.
9. Objects / F. Identity among Objects / 4. Type Identity
A token isn't a unique occurrence, as the case of a word or a number shows [Cartwright,R]
     Full Idea: We cannot take a token of a word to be an occurrence of it. Suppose there is exactly one occurrence of the word 'etherized' in the whole of English poetry? Exactly one 'token'? This sort of occurrence is like the occurrence of a number in a sequence.
     From: Richard Cartwright (Propositions [1962], Add 2)
     A reaction: This remark is in an addendum to his paper, criticising his own lax use of the idea of 'token' in the actual paper. The example nicely shows that the type/token distinction isn't neat and tidy - though I consider it very useful.
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Can one movement have a mental and physical cause? [Ryle]
     Full Idea: The dogma of the Ghost in the Machine maintains that there exist both minds and bodies; that there are mechanical causes of corporeal movements, and mental causes of corporeal movements.
     From: Gilbert Ryle (The Concept of Mind [1949], I (3))
     A reaction: This nicely identifies the problem of double causation, which can be found in Spinoza (Idea 4862). The dualists have certainly got a problem here, but they can deny a conflict. The initiation of a hand movement is not mechanical at all.
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Reporting on myself has the same problems as reporting on you [Ryle]
     Full Idea: My reports on myself are subject to the same kinds of defects as are my reports on you.
     From: Gilbert Ryle (The Concept of Mind [1949], Ch.6)
     A reaction: This may be true of memories or of motives, but it hardly seems to apply to being in pain, where you might be totally lying, where the worst I could do to myself is exaggerate. "You're fine; how am I?"
We cannot introspect states of anger or panic [Ryle]
     Full Idea: No one could introspectively scrutinize the state of panic or fury.
     From: Gilbert Ryle (The Concept of Mind [1949], Ch.6)
     A reaction: It depends what you mean by 'scrutinize'. No human being ever loses their temper or panics without a background thought of "Oh dear, I'm losing it - it would probably be better if I didn't" (or, as Aristotle might say, "I'm angry, and so I should be").
16. Persons / F. Free Will / 5. Against Free Will
I cannot prepare myself for the next thought I am going to think [Ryle]
     Full Idea: One thing that I cannot prepare myself for is the next thought that I am going to think.
     From: Gilbert Ryle (The Concept of Mind [1949], VI (7))
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Dualism is a category mistake [Ryle]
     Full Idea: The official theory of mind (as private, non-spatial, outside physical laws) I call 'the dogma of the Ghost in the Machine'. I hope to prove it entirely false, and show that it is one big mistake, namely a 'category mistake'.
     From: Gilbert Ryle (The Concept of Mind [1949], I (2))
     A reaction: This is the essence of Ryle's eliminitavist behaviourism. Personally I agree that the idea of a separate 'ghost' running the machine is utterly implausible, but it isn't a 'category mistake'. The mind clearly exists, but the confusion is about what it is.
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Behaviour depends on desires as well as beliefs [Chalmers on Ryle]
     Full Idea: Another problem for Ryle (from Chisholm and Geach) is that no mental state could be defined by a single range of behavioural dispositions, independent of any other mental states. (Behaviour depends upon desires as well as beliefs).
     From: comment on Gilbert Ryle (The Concept of Mind [1949]) by David J.Chalmers - The Conscious Mind 1.1.2
     A reaction: The defence of behaviourism is to concede this point, but suggest that behavioural dispositions come in large groups of interdependent sets, some relating to beliefs, others relating to desires, and each group leads to a behaviour.
You can't explain mind as dispositions, if they aren't real [Benardete,JA on Ryle]
     Full Idea: Ryle is tough-minded to the point of incoherence when he combines a dispositional account of the mind with an anti-realist account of dispositions.
     From: comment on Gilbert Ryle (The Concept of Mind [1949]) by José A. Benardete - Metaphysics: the logical approach Ch.22
     A reaction: A nice point, but it strikes me that Ryle was, by temperament at least, an eliminativist about the mind, so the objection would not bother him. Maybe a disposition and a property are the same thing?
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
How can behaviour be the cause of behaviour? [Chalmers on Ryle]
     Full Idea: A problem for Ryle is that mental states may cause behaviour, but if mental states are themselves behavioural or behavioural dispositions, as opposed to internal states, then it is hard to see how they could do the job.
     From: comment on Gilbert Ryle (The Concept of Mind [1949]) by David J.Chalmers - The Conscious Mind 1.1.2
     A reaction: I strongly approve of this, as an objection to any form of behaviourism or functionalism. If you identify something by its related behaviour, or its apparent function, this leaves the question 'WHY does it behave or function in this way?'
19. Language / A. Nature of Meaning / 1. Meaning
For any statement, there is no one meaning which any sentence asserting it must have [Cartwright,R]
     Full Idea: It does have to be acknowledged, I think, that every statement whatever is such that there is no one meaning which any sentence used to assert it must have.
     From: Richard Cartwright (Propositions [1962], 11)
     A reaction: This feels to me like a Gricean move - that what we are really interested in is communicating one mental state to another mental state, and there are all sorts of tools that can do that one job.
People don't assert the meaning of the words they utter [Cartwright,R]
     Full Idea: No one ever asserts the meaning of the words he utters.
     From: Richard Cartwright (Propositions [1962], 12)
     A reaction: Cartwright is using this point to drive a wedge between sentence meaning and the assertion made by the utterance. Hence he defends propositions. Presumably people utilise word-meanings, rather than asserting them. Meanings (not words) are tools.
19. Language / D. Propositions / 1. Propositions
We can pull apart assertion from utterance, and the action, the event and the subject-matter for each [Cartwright,R]
     Full Idea: We need to distinguish 1) what is asserted, 2) that assertion, 3) asserting something, 4) what is predicated, 5) what is uttered, 6) that utterance, 7) uttering something, 8) the utterance token, and 9) the meaning.
     From: Richard Cartwright (Propositions [1962], 05-06)
     A reaction: [summary of his overall analysis in the paper] It is amazingly hard to offer a critical assessment of this sort of analysis, but it gives you a foot in the door for thinking about the issues with increasing clarity.
'It's raining' makes a different assertion on different occasions, but its meaning remains the same [Cartwright,R]
     Full Idea: A person who utters 'It's raining' one day does not normally make the same statement as one who utters it the next. But these variations are not accompanied by corresponding changes of meaning. The words 'It's raining' retain the same meaning throughout.
     From: Richard Cartwright (Propositions [1962], 10)
     A reaction: This is important, because it shows that a proposition is not just the mental shadow behind a sentence, or a mental shadow awaiting a sentence. Unlike a sentence, a proposition can (and possibly must) include its own context. Very interesting!
19. Language / D. Propositions / 4. Mental Propositions
We can attribute 'true' and 'false' to whatever it was that was said [Cartwright,R]
     Full Idea: We do sometimes say of something to which we have referred that it is true (or false). Are we not ordinarily doing just this when we utter such sentences as 'That's true' and 'What he said was false'?
     From: Richard Cartwright (Propositions [1962], 03)
     A reaction: This supports propositions, but doesn't clinch the matter. One could interpret this phenomenon as always being (implicitly) the reference of one sentence to another. However, I remember what he said, but I can't remember how he said it.
To assert that p, it is neither necessary nor sufficient to utter some particular words [Cartwright,R]
     Full Idea: In order to assert that p it is not necessary to utter exactly those words. ...Clearly, also, in order to assert that p, it is not sufficient to utter the words that were actually uttered.
     From: Richard Cartwright (Propositions [1962], 07)
     A reaction: I take the first point to be completely obvious (you can assert one thing with various wordings), and the second seems right after a little thought (the words could be vague, ambiguous, inaccurate, contextual)
19. Language / F. Communication / 2. Assertion
Assertions, unlike sentence meanings, can be accurate, probable, exaggerated, false.... [Cartwright,R]
     Full Idea: Whereas what is asserted can be said to be accurate, exaggerated, unfounded, overdrawn, probable, improbable, plausible, true, or false, none of these can be said of the meaning of a sentence.
     From: Richard Cartwright (Propositions [1962], 12)
     A reaction: That fairly firmly kicks into touch the idea that the assertion is the same as the meaning of the sentence.