Combining Philosophers

All the ideas for Xenophon, JP Burgess / G Rosen and H. Paul Grice

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31 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
The greatest philosophers are methodical; it is what makes them great [Grice]
     Full Idea: The greatest philosophers have been the greatest, and most self-conscious, methodologists; indeed, I am tempted to regard the fact as primarily accounting for their greatness as philosophers.
     From: H. Paul Grice (Reply to Richards [1986], p.66), quoted by Stephen Boulter - Why Medieval Philosophy Matters 3
     A reaction: I agree. Philosophy is nothing if it is not devoted to the attempt to be fully rational, and that implies consistency and coherence. If a thinker doesn't even try to be systematic, I would not consider them to be a philosopher.
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
     Full Idea: In the disquotational view of truth, what saves truth from being wholly redundant and so wholly useless, is mainly that it provides an ability to state generalisations like 'Everything Fermat believed was true'.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.2.c)
     A reaction: Sounds like the thin end of the wedge. Presumably we can infer that the first thing Fermat believed on his last Christmas Day was true.
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
     Full Idea: If you want a logic of metaphysical possibility, the existing literature was originally developed to supply a logic of metalogical possibility, and still reflects its origins.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.B.3.b)
     A reaction: This is a warning shot (which I don't fully understand) to people like me, who were beginning to think they could fill their ontology with possibilia, which could then be incorporated into the wider account of logical thinking. Ah well...
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
     Full Idea: The paradoxes only seem to arise in connection with Frege's logical notion of extension or class, not Cantor's mathematical notion of set. Cantor never assumed that every condition determines a set.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b)
     A reaction: This makes the whole issue a parochial episode in the history of philosophy, not a central question. Cantor favoured some sort of abstractionism (see Kit Fine on the subject).
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
     Full Idea: Mereology has ontological implications. The acceptance of some initial entities involves the acceptance of many further entities, arbitrary wholes having the entities as parts. It must accept conglomerates. Geometric points imply geometric regions.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.b)
     A reaction: Presumably without the wholes being entailed by the parts, there is no subject called 'mereology'. But if the conglomeration is unrestricted, there is not much left to be said. 'Restricted' composition (by nature?) sounds a nice line.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
     Full Idea: While in general a relation is taken to be a set of ordered pairs <u, v> = {{u}, {u, v}}, and hence a set of sets of sets, in special cases a relation can be represented by a set of sets.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.a)
     A reaction: [See book for their examples, which are <, symmetric, and arbitrary] The fact that a relation (or anything else) can be represented in a certain way should never ever be taken to mean that you now know what the thing IS.
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
     Full Idea: Recent commentators have de-emphasised the set paradoxes because they play no prominent part in motivating the most articulate and active opponents of set theory, such as Kronecker (constructivism) or Brouwer (intuitionism), or Weyl (predicativism).
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b)
     A reaction: This seems to be a sad illustration of the way most analytical philosophers have to limp along behind the logicians and mathematicians, arguing furiously about problems that have largely been abandoned.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
     Full Idea: The modal strategy for numbers is to replace assumptions about the actual existence of numbers by assumptions about the possible existence of numbers
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.B.3.a)
     A reaction: This seems to be quite a good way of dealing with very large numbers and infinities. It is not clear whether 5 is so regularly actualised that we must consider it as permanent, or whether it is just a prominent permanent possibility.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
     Full Idea: Usually structuralism and nominalism are considered rivals. But structuralism can also be the first step in a strategy of nominalist reconstrual or paraphrase.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.0)
     A reaction: Hellman and later Chihara seem to be the main proponents of nominalist structuralism. My sympathies lie with this strategy. Are there objects at the nodes of the structure, or is the structure itself platonic? Mill offers a route.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Number words became nouns around the time of Plato [Burgess/Rosen]
     Full Idea: The transition from using number words purely as adjectives to using them extensively as nouns has been traced to 'around the time of Plato'.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.2.a)
     A reaction: [The cite Kneale and Kneale VI,§2 for this] It is just too tempting to think that in fact Plato (and early Platonists) were totally responsible for this shift, since the whole reification of numbers seems to be inherently platonist.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
     Full Idea: The distinction of abstract and concrete is one of kind and not degree.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.a)
     A reaction: I think I must agree with this. If there is a borderline, it would be in particulars that seem to have an abstract aspect to them. A horse involves the abstraction of being a horse, and it involves be one horse.
Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
     Full Idea: Much of what science says about concrete entities is 'abstraction-laden'.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.A.1.d)
     A reaction: Not just science. In ordinary conversation we continually refer to particulars using so-called 'universal' predicates and object-terms, which are presumably abstractions. 'I've just seen an elephant'.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
     Full Idea: In mathematics, since the beginning of the nineteenth century, there has been an ascent to higher and higher levels of abstraction.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.b)
     A reaction: I am interested in clarifying what this means, which might involve the common sense and psychological view of the matter, as well as some sort of formal definition in terms of equivalence (or whatever).
Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
     Full Idea: There is a scale of abstractness that leads downwards from sets through attributes to formulas as abstract types and on to formulas as abstract tokens.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.B.2.c)
     A reaction: Presumably the 'abstract tokens' at the bottom must have some interpretation, to support the system. Presumably one can keep going upwards, through sets of sets of sets.
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Conditionals are truth-functional, but we must take care with misleading ones [Grice, by Edgington]
     Full Idea: Grice argued that the truth-functional account of conditionals can withstand objections, provided that we are careful to distinguish the false from the misleadingly true.
     From: report of H. Paul Grice (Logic and Conversation [1975]) by Dorothy Edgington - Do Conditionals Have Truth Conditions? 2
The odd truth table for material conditionals is explained by conversational conventions [Grice, by Fisher]
     Full Idea: According to Grice, it is the rules that govern conversation beyond the merely logical that account for the counter-intuitiveness of the truth table for the material conditional.
     From: report of H. Paul Grice (Logic and Conversation [1975]) by Jennifer Fisher - On the Philosophy of Logic 8.I
     A reaction: There is a conversational rule which says that replies should normally relevant to context. It would be nice if logical implications were also relevant to context.
Conditionals might remain truth-functional, despite inappropriate conversational remarks [Edgington on Grice]
     Full Idea: Grice defended the truth-functional account of conditionals, noting the gap between what we are justified in believing and what is appropriate to say. .But the problem arises at the level of belief, not at the level of inappropriate conversational remarks
     From: comment on H. Paul Grice (Logic and Conversation [1975]) by Dorothy Edgington - Conditionals 17.1.3
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
Conditionals are truth-functional, but unassertable in tricky cases? [Grice, by Read]
     Full Idea: The 'conversational defence' of the truth-functional view of conditionals is that a conditional may not be assertible in difficult cases.
     From: report of H. Paul Grice (Presupposition and Conversational Implicature [1977]) by Stephen Read - Thinking About Logic Ch.3
A person can be justified in believing a proposition, though it is unreasonable to actually say it [Grice, by Edgington]
     Full Idea: Grice drew attention to situations in which a person is justified in believing a proposition, which would nevertheless by an unreasonable thing for the person to say, in normal circumstances. I think he is right about disjunction and negated conjunctions.
     From: report of H. Paul Grice (Logic and Conversation [1975]) by Dorothy Edgington - Conditionals (Stanf) 2.4
     A reaction: Edgington considers Grice's ideas of implicature as of permanent value, especially as a clarification of 1950s ordinary language philosophy.
18. Thought / E. Abstraction / 2. Abstracta by Selection
The old debate classified representations as abstract, not entities [Burgess/Rosen]
     Full Idea: The original debate was over abstract ideas; thus it was mental (or linguistic) representations that were classified as abstract or otherwise, and not the entities represented.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.b)
     A reaction: This seems to beg the question of whether there are any such entities. It is equally plausible to talk of the entities that are 'constructed', rather than 'represented'.
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice]
     Full Idea: For a statement to have (non-naturally) meant something, not merely must it have been 'uttered' with the intention of inducing a certain belief, but also the utterer must have intended an 'audience' to recognise the intention behind the utterance.
     From: H. Paul Grice (Meaning [1957], p.43)
     A reaction: This is Grice's famous and distinctive theory of meaning. I am struck by the problem of a password, which seems to have a quite different intention from its literal meaning. Also a speaker with two different audiences and opposite intentions.
Only the utterer's primary intention is relevant to the meaning [Grice]
     Full Idea: Only what I may call the primary intention of an utterer is relevant to the (non-natural) meaning of an utterance.
     From: H. Paul Grice (Meaning [1957], p.47)
     A reaction: This sounds okay for simple statements, but gets really tricky with complex statements, such as very ironic remarks delivered to an audience of diverse people.
We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice]
     Full Idea: To show that the criteria for judging linguistic intentions are very like the criteria for judging non-linguistic intentions is to show that linguistic intentions are very like non-linguistic intentions.
     From: H. Paul Grice (Meaning [1957], p.48)
     A reaction: This hint at the end of his paper is one of the key attractions of Grice's view. It offers an account of language that fits it into the world of animal communication and evolution. It never seems to quite capture the way meaning goes beyond intentions.
19. Language / A. Nature of Meaning / 6. Meaning as Use
Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
     Full Idea: The slogan that meaning is use came under scrutiny by Grice's theory of conversational implicature. He said patterns of use shown in analysis were often semantically irrelevant, snce they are due not meanings of expressions but to pragmatic principles.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Hans-Johann Glock - What is Analytic Philosophy? 2.8
     A reaction: I think the simplest objection is that words only have use because they have a meaning; The most interesting part of pragmatics is what you DON'T say in conversation.
19. Language / F. Communication / 5. Pragmatics / b. Implicature
Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
     Full Idea: Grice's maxim of quality says one ought not to assert what one believes to be false.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Ofra Magidor - Category Mistakes 5.2
     A reaction: The obvious exception is irony, where are truth is asserted, but the listener is supposed to spot that you are not really asserting it.
Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
     Full Idea: Grice's maxim of manner requires one to be as brief as possible.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Ofra Magidor - Category Mistakes 5.2
     A reaction: An alternative maxim of conversation is that there should not be long silences between contributions - which would probably result if the contributions are all curtly abbreviated.
Key conversational maxims are 'quality' (assert truth) and 'quantity' (leave nothing out) [Grice, by Read]
     Full Idea: Grice particularly identified two maxims as guiding conversation: the maxim of 'quality' (that one should assert only what one believes to be true and justified), and of 'quantity' (one should not assert less than one can).
     From: report of H. Paul Grice (Presupposition and Conversational Implicature [1977]) by Stephen Read - Thinking About Logic Ch.3
     A reaction: I think it would be very foolish to boldly embrace the second maxim when talking to strangers. If white lies are occasionally acceptable, then what is the status of the first 'maxim'? Is it a moral maxim?
Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]
     Full Idea: Grice's maxim of quantity says 'make your contributions as informative as required'.
     From: report of H. Paul Grice (Some Models for Implicature [1967]) by Ofra Magidor - Category Mistakes 5.2
     A reaction: Is the 'requirement' of informative for the speaker or for the listener? It is easy to image situations where, one way or the other, the two people don't agree about informativenss.
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
     Full Idea: Niceratus said that his father, because he was concerned to make him a good man, made him learn the whole works of Homer, and he could still repeat by heart the entire 'Iliad' and 'Odyssey'.
     From: Xenophon (Symposium [c.391 BCE], 3.5)
     A reaction: This clearly shows the status which Homer had in the teaching of morality in the time of Socrates, and it is precisely this acceptance of authority which he was challenging, in his attempts to analyse the true basis of virtue
25. Social Practice / E. Policies / 5. Education / b. Education principles
Education is the greatest of human goods [Xenophon]
     Full Idea: Education is the greatest of human goods.
     From: Xenophon (Apology of Socrates [c.392 BCE], 22)
     A reaction: Of course, one might ask what education is for, and arrive at a greater good. If you ask what is the greatest good which a society can provide for you, or which you can give to your children, this seems to me a good answer.
27. Natural Reality / C. Space / 2. Space
If space is really just a force-field, then it is a physical entity [Burgess/Rosen]
     Full Idea: According to many philosophical commentators, a force-field must be considered to be a physical entity, and as the distinction between space and the force-field may be considered to be merely verbal, space itself may be considered to be a physical entity.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.A.1)
     A reaction: The ontology becomes a bit odd if we cheerfully accept that space is physical, but then we can't give the same account of time. I'm not sure how time could be physical. What's it made of?