Combining Texts

All the ideas for 'On Propositions: What they are,and Meaning', 'The Trouble with Possible Worlds' and 'Remarks on the definition and nature of mathematics'

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18 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Maybe Ockham's Razor is a purely aesthetic principle [Lycan]
     Full Idea: It might be said that Ockham's Razor is a purely aesthetic principle.
     From: William Lycan (The Trouble with Possible Worlds [1979], 02)
     A reaction: I don't buy this, if it meant to be dismissive of the relevance of the principle to truth. A deep question might be, what is so aesthetically attractive about simplicity? I'm inclined to think that application of the Razor has delivered terrific results.
The Razor seems irrelevant for Meinongians, who allow absolutely everything to exist [Lycan]
     Full Idea: A Meinongian has already posited everything that could, or even could not, be; how, then, can any subsequent brandishing of Ockham's Razor be to the point?
     From: William Lycan (The Trouble with Possible Worlds [1979], 02)
     A reaction: See the ideas of Alexius Meinong. Presumably these crazy Meinongians must make some distinction between what actually exists in front of your nose, and the rest. So the Razor can use that distinction too.
3. Truth / A. Truth Problems / 5. Truth Bearers
In its primary and formal sense, 'true' applies to propositions, not beliefs [Russell]
     Full Idea: We call a belief true when it is belief in a true proposition, ..but it is to propositions that the primary formal meanings of 'truth' and 'falsehood' apply.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §IV)
     A reaction: I think this is wrong. A proposition such as 'it is raining' would need a date-and-time stamp to be a candidate for truth, and an indexical statement such as 'I am ill' would need to be asserted by a person. Of course, books can contain unread truths.
3. Truth / B. Truthmakers / 1. For Truthmakers
The truth or falsehood of a belief depends upon a fact to which the belief 'refers' [Russell]
     Full Idea: I take it as evident that the truth or falsehood of a belief depends upon a fact to which the belief 'refers'.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], p.285)
     A reaction: A nice bold commitment to a controversial idea. The traditional objection is to ask how you are going to formulate the 'facts' except in terms of more beliefs, so you ending up comparing beliefs. Facts are a metaphysical commitment, not an acquaintance.
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Propositions of existence, generalities, disjunctions and hypotheticals make correspondence tricky [Russell]
     Full Idea: The correspondence of proposition and fact grows increasingly complicated as we pass to more complicated types of propositions: existence-propositions, general propositions, disjunctive and hypothetical propositions, and so on.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §IV)
     A reaction: An important point. Truth must not just work for 'it is raining', but also for maths, logic, tautologies, laws etc. This is why so many modern philosophers have retreated to deflationary and minimal accounts of truth, which will cover all cases.
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
     Full Idea: In the study of formal systems we do not confine ourselves to the derivation of elementary propositions step by step. Rather we take the system, defined by its primitive frame, as datum, and then study it by any means at our command.
     From: Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The formalist')
     A reaction: This is what may potentially lead to an essentialist view of such things. Focusing on bricks gives formalism, focusing on buildings gives essentialism.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
     Full Idea: According to realism, mathematical propositions express the most general properties of our physical environment. This is the primitive view of mathematics, yet on account of the essential role played by infinity in mathematics, it is untenable today.
     From: Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The problem')
     A reaction: I resist this view, because Curry's view seems to imply a mad metaphysics. Hilbert resisted the role of the infinite in essential mathematics. If the physical world includes its possibilities, that might do the job. Hellman on structuralism?
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Saying mathematics is logic is merely replacing one undefined term by another [Curry]
     Full Idea: To say that mathematics is logic is merely to replace one undefined term by another.
     From: Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'Mathematics')
9. Objects / A. Existence of Objects / 4. Impossible objects
Maybe non-existent objects are sets of properties [Lycan]
     Full Idea: Meinong's Objects have sometimes been construed as sets of properties.
     From: William Lycan (The Trouble with Possible Worlds [1979], 09)
     A reaction: [Lycan cites Castañeda and T.Parsons] You still seem to have the problem with any 'bundle' theory of anything. A non-existent object is as much intended to be an object as anything on my desk right now. It just fails to be.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Treating possible worlds as mental needs more actual mental events [Lycan]
     Full Idea: A mentalistic approach to possible worlds is daunted by the paucity of actual mental events.
     From: William Lycan (The Trouble with Possible Worlds [1979], 09)
     A reaction: Why do they have to be actual, any more than memories have to be conscious? The mental events just need to be available when you need them. They are never all required simultaneously. This isn't mathematical logic!
Possible worlds must be made of intensional objects like propositions or properties [Lycan]
     Full Idea: I believe the only promising choice of actual entities to serve as 'worlds' is that of sets of intensional objects, such as propositions or properties with stipulated interrelations.
     From: William Lycan (The Trouble with Possible Worlds [1979], 12)
     A reaction: This is mainly in response to Lewis's construction of them out of actual concrete objects. It strikes me as a bogus problem. It is just a convenient way to think precisely about possibilities, and occasionally outruns our mental capacity.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If 'worlds' are sentences, and possibility their consistency, consistency may rely on possibility [Lycan]
     Full Idea: If a 'world' is understood as a set of sentences, then possibility may be understood as consistency, ...but this seems circular, in that 'consistency' of sentences cannot adequately be defined save in terms of possibility.
     From: William Lycan (The Trouble with Possible Worlds [1979], 09)
     A reaction: [Carnap and Hintikka propose the view, Lewis 'Counterfactuals' p.85 objects] Worlds as sentences is not, of course, the same as worlds as propositions. There is a lot of circularity around in 'possible' worlds.
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
The three questions about belief are its contents, its success, and its character [Russell]
     Full Idea: There are three issues about belief: 1) the content which is believed, 2) the relation of the content to its 'objective' - the fact which makes it true or false, and 3) the element which is belief, as opposed to consideration or doubt or desire.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §III)
     A reaction: The correct answers to the questions (trust me) are that propositions are the contents, the relation aimed at is truth, which is a 'metaphysical ideal' of correspondence to facts, and belief itself is an indefinable feeling. See Hume, Idea 2208.
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
If we object to all data which is 'introspective' we will cease to believe in toothaches [Russell]
     Full Idea: If privacy is the main objection to introspective data, we shall have to include among such data all sensations; a toothache, for example, is essentially private; a dentist may see the bad condition of your tooth, but does not feel your ache.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §II)
     A reaction: Russell was perhaps the first to see why eliminative behaviourism is a non-starter as a theory of mind. Mental states are clearly a cause of behaviour, so they can't be the same thing. We might 'eliminate' mental states by reducing them, though.
17. Mind and Body / D. Property Dualism / 3. Property Dualism
There are distinct sets of psychological and physical causal laws [Russell]
     Full Idea: There do seem to be psychological and physical causal laws which are distinct from each other.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §II)
     A reaction: This sounds like the essence of 'property dualism'. Reductive physicalists (like myself) say there is no distinction. Davidson, usually considered a property dualist, claims there are no psycho-physical laws. Russell notes that reduction may be possible.
19. Language / D. Propositions / 1. Propositions
Our important beliefs all, if put into words, take the form of propositions [Russell]
     Full Idea: The important beliefs, even if they are not the only ones, are those which, if rendered into explicit words, take the form of a proposition.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §III)
     A reaction: This assertion is close to the heart of the twentieth century linking of ontology and epistemology to language. It is open to challenges. Why is non-propositional belief unimportant? Do dogs have important beliefs? Can propositions exist non-verbally?
A proposition expressed in words is a 'word-proposition', and one of images an 'image-proposition' [Russell]
     Full Idea: I shall distinguish a proposition expressed in words as a 'word-proposition', and one consisting of images as an 'image-proposition'.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], §III)
     A reaction: This, I think, is good, though it raises the question of what exactly an 'image' is when it is non-visual, as when a dog believes its owner called. This distinction prevents us from regarding all knowledge and ontology as verbal in form.
A proposition is what we believe when we believe truly or falsely [Russell]
     Full Idea: A proposition may be defined as: what we believe when we believe truly or falsely.
     From: Bertrand Russell (On Propositions: What they are, and Meaning [1919], p.285)
     A reaction: If we define belief as 'commitment to truth', Russell's last six words become redundant. "Propositions are the contents of beliefs", it being beliefs which are candidates for truth, not propositions. (Russell agrees, on p.308!)