29 ideas
6334 | The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich] |
Full Idea: We must distinguish the function of the truth predicate, what it is to understand 'true', the meaning of 'true', grasping the concept of truth, and a theory of truth itself. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.2.8) | |
A reaction: It makes you feel tired to think about it. Presumably every other philosophical analysis has to do this many jobs. Clearly Horwich wants to propose one account which will do all five jobs. Personally I don't believe these five are really distinct. |
6342 | Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich] |
Full Idea: One correspondence theory (e.g. early Wittgenstein) concerns representations and facts; alternatively (Tarski, Davidson) the category of fact is eschewed, and the truth of sentences or propositions is built out of relations of reference and satisfaction. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.7.35) | |
A reaction: A helpful distinction. Clearly the notion of a 'fact' is an elusive one ("how many facts are there in this room?"), so it seems quite promising to say that the parts of the sentence correspond, rather than the whole thing. |
6332 | The common-sense theory of correspondence has never been worked out satisfactorily [Horwich] |
Full Idea: The common-sense notion that truth is a kind of 'correspondence with the facts' has never been worked out to anyone's satisfaction. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.1) | |
A reaction: I've put this in to criticise it. Philosophy can't work by rejecting theories which can't be 'worked out', and accepting theories (like Tarski's) because they can be 'worked out'. All our theories will end up minimal, and defiant of common sense. |
6335 | The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich] |
Full Idea: The redundancy theory is unable to account for the inference from "Oscar's claim is true" and "Oscar's claim is that snow is white" to "the proposition 'that snow is white' is true", and hence to "snow is white". | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.2.9) | |
A reaction: Earlier objections appealed to the fact that the word 'true' seemed to have a use in ordinary speech, but this seems a much stronger one. In general, showing the role of a term in making inferences pins it down better than ordinary speech does. |
6344 | Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich] |
Full Idea: All uses of the truth predicate are explained by the hypothesis that its entire raison d'être is to help us say things about unarticulated propositions, and in particular to express generalisations about them. | |
From: Paul Horwich (Truth (2nd edn) [1990], Concl) | |
A reaction: This certain is a very deflationary notion of truth. Articulated propositions are considered to stand on their own two feet, without need of 'is true'. He makes truth sound like a language game, though. Personally I prefer to mention reality. |
6336 | No deflationary conception of truth does justice to the fact that we aim for truth [Horwich] |
Full Idea: It has been suggested that no deflationary conception of truth could do justice to the fact that we aim for the truth. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.2.11) | |
A reaction: (He mentions Dummett and Wright). People don't only aim for it - they become very idealistic about it, and sometimes die for it. Personally I think that any study of truth should use as its example police investigations, not philosophical analysis. |
23299 | Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson] |
Full Idea: Horwich's brave and striking move is to make the primary bearers of truth propositions - not exactly a new idea in itself, but new in the context of a serious attempt to defend deflationism. | |
From: report of Paul Horwich (Truth (2nd edn) [1990]) by Donald Davidson - The Folly of Trying to Define Truth p.30 | |
A reaction: Davidson rejects propositions because they can't be individuated, but I totally accept propositions. I'm puzzled why this would produce a deflationist theory, since I think it points to a much more robust view. |
6337 | The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich] |
Full Idea: According to the deflationary picture, believing that a theory is true is a trivial step beyond believing the theory. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.2.17) | |
A reaction: What has gone wrong with this picture is that you cannot (it seems to me) give a decent account of belief without mentioning truth. To believe a proposition is to hold it true. Hume's emotional account (Idea 2208) makes belief bewildering. |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation. | |
From: Ian Rumfitt ("Yes" and "No" [2000], II) | |
A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts. |
10794 | The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)] |
Full Idea: The nominalist finds that standard semantics shackles him to first-order languages if, as nominalists are wont, he is to make do without abstract higher order objects. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166) | |
A reaction: Aha! Since I am pursuing a generally nominalist strategy in metaphysics, I suddenly see that I must adopt a hostile attitude to higher-order logic! Maybe plural quantification is the way to go, with just first-order objects. |
6339 | Logical form is the aspects of meaning that determine logical entailments [Horwich] |
Full Idea: The logical forms of the sentences in a language are those aspects of their meanings that determine the relations of deductive entailment holding amongst them. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.6.30) | |
A reaction: A helpful definition. Not all sentences, therefore, need to have a 'logical form'. Is the logical form the same as the underlying proposition. The two must converge, given that propositions lack the ambiguity that is often found in sentences. |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious. | |
From: Ian Rumfitt ("Yes" and "No" [2000], III) | |
A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value. |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table. | |
From: Ian Rumfitt ("Yes" and "No" [2000]) | |
A reaction: This is the standard view which Rumfitt sets out to challenge. |
10786 | Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)] |
Full Idea: The tendency has been to call any expression a 'name', however distant from the grammatical category of nouns, provided it is seen as referring. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162) |
10788 | Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)] |
Full Idea: For a nominalist with an ontology of empirically distinguishable objects, proper names are seen as a primary vehicle of reference. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162) |
10799 | Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)] |
Full Idea: For the nominalist, at level zero, where substituends are referring names, the quantifiers may be read existentially. Beyond level zero, the variables and quantifiers are read sustitutionally (though it is unclear whether this program is feasible). | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167) |
10790 | Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)] |
Full Idea: An adequate language for referring to infinitely many objects would seem to require variables and quantifiers in addition to names. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.164) |
10791 | Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)] |
Full Idea: On a substitutional semantics of a first-order language, a domain of objects is not specified. Variables do not range over objects. They are place markers for substituends (..and sentences are true-for-all-names, or true-for-at-least-one-name). | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.165) |
10785 | Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)] |
Full Idea: It has been suggested that a substitutional semantics for quantification theory lends itself to nominalistic aims. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.161) |
10795 | Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)] |
Full Idea: Translation into a substitutional language does not force the ontology. It remains, literally, and until the case for reference can be made, a façon de parler. That is the way the nominalist would like to keep it. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166) |
10798 | A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)] |
Full Idea: Critics say if there are nondenumerably many objects, then on the substitutional view there might be true universal sentences falsified by an unnamed object, and there must always be some such, for names are denumerable. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167) | |
A reaction: [See Quine 'Reply to Prof. Marcus' p.183] The problem seems to be that there would be names which are theoretically denumerable, but not nameable, and hence not available for substitution. Marcus rejects this, citing compactness. |
10787 | Is being just referent of the verb 'to be'? [Marcus (Barcan)] |
Full Idea: Being itself has been viewed as referent of the verb 'to be'. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162) |
10789 | Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)] |
Full Idea: Nominalists have the major task of explaining how predicates work. They usually construct it as a relation between individuals, or deny the referential function of predicates. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.163) |
10796 | If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)] |
Full Idea: If objects are thoughts, aren't we back to psychologism? | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166) | |
A reaction: Personally I don't think that would be the end of the world, but Fregeans go into paroxyms at the mention of 'psychology', because they fear that it destroys objectivity. That may be because they haven't understood thought properly. |
10797 | Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)] |
Full Idea: Substitutivity 'salve veritate' cannot define identity since two expressions may be everywhere intersubstitutable and not refer at all. | |
From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167) |
6338 | We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich] |
Full Idea: Someone who does not understand German and is told 'Schnee ist weiss' is true if frozen H2O is white, does not understand the German sentence, even though he knows the truth-conditions. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.5.22 n1) | |
A reaction: This sounds like a powerful objection to Davidson's well-known claim that meaning is truth-conditions. Horwich likes the idea that meaning is use, but I think a similar objection arises - you can use a sentence well without knowing its meaning. |
6340 | There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich] |
Full Idea: There are pure, Fregean, abstract, de dicto propositions, in which a compositional structure is filled only with senses; there are pure, Russellian, concrete, de re propositions, which are filled with referents; and there are mixed propositions. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.6.31) | |
A reaction: Once Frege has distinguished sense from reference, this distinction of propositions is likely to follow. The current debate over the internalist and externalist accounts of concepts seems to continue the debate. A mixed strategy sounds good. |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A. | |
From: Ian Rumfitt ("Yes" and "No" [2000], IV) | |
A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role). |
6341 | Right translation is a mapping of languages which preserves basic patterns of usage [Horwich] |
Full Idea: The right translation between words of two languages is the mapping that preserves basic patterns of usage - where usage is characterised non-semantically, in terms of circumstances of application, assertibility conditions and inferential role. | |
From: Paul Horwich (Truth (2nd edn) [1990], Ch.6.32) | |
A reaction: It still strikes me that if you ask why a piece of language is used in a certain way, you find yourself facing something deeper about meaning than mere usage. Horwich cites Wittgenstein and Quine in his support. Could a machine pass his test? |