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All the ideas for 'Mahaprajnaparamitashastra', 'Ontological Categories' and 'Propositions'

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25 ideas

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.
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
We negate predicates but do not negate names [Westerhoff]
     Full Idea: We negate predicates but do not negate names.
     From: Jan Westerhoff (Ontological Categories [2005], §88)
     A reaction: This is a point for anyone like Ramsey who wants to collapse the distinction between particulars and universals, or singular terms and their predicates.
7. Existence / E. Categories / 1. Categories
Categories can be ordered by both containment and generality [Westerhoff]
     Full Idea: Categories are usually not assumed to be ordered by containment, but also be generality.
     From: Jan Westerhoff (Ontological Categories [2005], §02)
     A reaction: I much prefer generality, which is responsive to the full picture, whereas containment seems to appeal too much to the orderly and formalised mind. Containments overlap, so we can't dream of a perfectly neat system.
How far down before we are too specialised to have a category? [Westerhoff]
     Full Idea: How far down are we allowed to go before the categories become too special to qualify as ontological categories?
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: A very nice question, because we can't deny a category to a set with only one member, otherwise the last surviving dodo would not have been a dodo.
Maybe objects in the same category have the same criteria of identity [Westerhoff]
     Full Idea: There is an idea that objects belonging to the same category have the same criteria of identity. This view was first explicitly endorsed by Frege (1884), and was later systematized by Dummett (1981).
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: This approach is based on identity between equivalence classes. Westerhoff says it means, implausibly, that the resulting categories cannot share properties.
Categories are base-sets which are used to construct states of affairs [Westerhoff]
     Full Idea: My fundamental idea is that 'form-sets' are intersubstitutable constituents of states of affairs with the same form, and 'base-sets' are special form-sets which can be used to construct other form-sets. Ontological categories are the base-sets.
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: The spirit of this is, of course, to try to achieve the kind of rigour that is expected in contemporary professional philosophy, by aiming for some sort of axiom-system that is related to a well established precise discipline like set theory. Maybe.
Categories are held to explain why some substitutions give falsehood, and others meaninglessness [Westerhoff]
     Full Idea: It is usually assumed of ontological categories that they can explain why certain substitutions make a statement false ('prime' for 'odd'), while others make it meaningless ('sweet' for 'odd', of numbers).
     From: Jan Westerhoff (Ontological Categories [2005], §05)
     A reaction: So there is a strong link between big ontological questions, and Ryle's famous identification of the 'category mistake'. The phenomenon of the category mistake is undeniable, and should make us sympathetic to the idea of categories.
Categories systematize our intuitions about generality, substitutability, and identity [Westerhoff]
     Full Idea: Systems of ontological categories are systematizations of our intuitions about generality, intersubstitutability, and identity.
     From: Jan Westerhoff (Ontological Categories [2005], §23)
     A reaction: I think we might be able to concede this without conceding the relativism about categories which Westerhoff espouses. I would claim that our 'intuitions' are pretty accurate about the joints of nature, and hence accurate about these criteria.
Categories as generalities don't give a criterion for a low-level cut-off point [Westerhoff]
     Full Idea: Categories in terms of generality, dependence and containment are unsatisfactory because of the 'cut-off point problem': they don't give an account of how far down the order we can go and be sure we are still dealing with categories.
     From: Jan Westerhoff (Ontological Categories [2005], §27)
     A reaction: I don't see why this should be a devastating objection to any theory. I have a very clear notion of a human being, but a very hazy notion of how far back towards its conception a human being extends.
7. Existence / E. Categories / 2. Categorisation
The aim is that everything should belong in some ontological category or other [Westerhoff]
     Full Idea: It seems to be one of the central points of constructing systems of ontological categories that everything can be placed in some category or other.
     From: Jan Westerhoff (Ontological Categories [2005], §49)
     A reaction: After initial resistance to this, I suppose I have to give in. The phoenix (a unique mythological bird) is called a 'phoenix', though it might just be called 'John' (cf. God). If there were another phoenix, we would know how to categorise it.
7. Existence / E. Categories / 3. Proposed Categories
All systems have properties and relations, and most have individuals, abstracta, sets and events [Westerhoff]
     Full Idea: Surveyed ontological systems show overlaps: properties and relations turn up in every system; individuals form part of five systems; abstracta, collections/sets and events are in four; facts are in two.
     From: Jan Westerhoff (Ontological Categories [2005], §02)
     A reaction: Westerhoff is a hero for doing such a useful survey. Of course, Quine challenges properties, and relations are commonly given a reductive analysis. Individuals can be challenged, and abstracta reduced. Sets are fictions. Events or facts? Etc.
7. Existence / E. Categories / 5. Category Anti-Realism
Ontological categories are like formal axioms, not unique and with necessary membership [Westerhoff]
     Full Idea: I deny the absolutism of a unique system of ontological categories and the essentialist view of membership in ontological categories as necessary features. ...I regard ontological categories as similar to axioms of formalized theories.
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: The point is that modern axioms are not fundamental self-evident truths, but an economic set of basic statements from which some system can be derived. There may be no unique set of axioms for a formal system.
Categories merely systematise, and are not intrinsic to objects [Westerhoff]
     Full Idea: My conclusion is that categories are relativistic, used for systematization, and that it is not an intrinsic feature of an object to belong to a category, and that there is no fundamental distinction between individuals and properties.
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: [compressed] He calls his second conclusion 'anti-essentialist', but I think we can still get an account of (explanatory) essence while agreeing with his relativised view of categories. Wiggins might be his main opponent.
A thing's ontological category depends on what else exists, so it is contingent [Westerhoff]
     Full Idea: What ontological category a thing belongs to is not dependent on its inner nature, but dependent on what other things there are in the world, and this is a contingent matter.
     From: Jan Westerhoff (Ontological Categories [2005], §89)
     A reaction: This is aimed at those, like Wiggins, who claim that category is essential to a thing, and there is no possible world in which that things could belong to another category. Sounds good, till you try to come up with examples.
9. Objects / D. Essence of Objects / 5. Essence as Kind
Essential kinds may be too specific to provide ontological categories [Westerhoff]
     Full Idea: Essential kinds can be very specific, and arguably too specific for the purposes of ontological categories.
     From: Jan Westerhoff (Ontological Categories [2005], §27)
     A reaction: Interesting. There doesn't seem to be any precise guideline as to how specific an essential kind might be. In scientific essentialism, each of the isotopes of tin has a distinct essence, but why should they not be categories
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.
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.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').