23 ideas
| 19108 | Truth is proper assertion, but that has varying standards [Misak] |
| Full Idea: The pragmatist will say that truth is proper assertion, but different discourses have different standards for proper assertion. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 4) | |
| A reaction: This remark shows that there is a pragmatic attitude towards truth behind most attempts to analyse the concept of assertion. When and why is assertion legitimate, and what motivates it? |
| 19094 | For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [Misak] |
| Full Idea: For pragmatists there is an unseverable connection between making an assertion and claiming that it is true. ...Were we to get to a belief that is forever assertible...then we would have a true belief. There is nothing higher or better we could ask of it. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 1) | |
| A reaction: She is particularly drawing on Peirce. She says his 'ideal end of enquiry' idea is a small aspect of his view of truth, which is mainly given here. I had taken the pragmatic view of truth to be silly, but I may rethink. |
| 19105 | Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak] |
| Full Idea: If truth is what satisfies our aims in first-order assertion and inquiry (as the pragmatist says), then there is no search for an elusive property, or a metaphysical property, or a property which we cannot grasp. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 3) | |
| A reaction: This pragmatic approach is much more persuasive than the usual caricature of pragmatic truth (Idea 19097), but I'm beginning to wonder how you distinguish an 'inquiry' (or 'assertion') from other modes of thought. Do I smell a circularity? |
| 19100 | Truth makes disagreements matter, or worth settling [Misak] |
| Full Idea: The role of truth is to make disagreements matter, or to make sense of wanting to resolve disagreements. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 2) | |
| A reaction: [She cites Huw Price 2003] This suggests that the most important use of 'truth' is forensic. It is hard to make any sense of a law court without a robust sense of truth. Trial by jury, rather than some great personage, shows this value. |
| 19099 | 'True' is used for emphasis, clarity, assertion, comparison, objectivity, meaning, negation, consequence... [Misak] |
| Full Idea: 'P is true' is used to emphasise p, and avoid logic problems. The pragmatists says there are plenty of other uses: the aim of assertion or deliberation, the improvement of our views, distinguishing objectivity, explaining meaning, negation, consequence... | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 2) | |
| A reaction: Pragmatism seems to break 'true' down into its many uses, rather than having a specific theory of truth. This might be where ordinary language philosophy (how is the word 'true' used) meets pragmatism (how is the concept [true] used). |
| 19103 | 'That's true' doesn't just refer back to a sentence, but implies sustained evidence for it [Misak] |
| Full Idea: The pragmatist says 'That's so' or 'that's true' are not just 'pro-sentential', but carry with them the thought that evidence does currently speak in favour of the statement asserted, and the prediction that it will continue to speak in favour. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 3) | |
| A reaction: This is a very nice point made by a pragmatist against the flimsy view of truth held by various deflationary views. You ought to believe what is true, and stand by what you hold to be true. |
| 19101 | Disquotation is bivalent [Misak] |
| Full Idea: The disquotational schema entails bivalence. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 2 n10) | |
| A reaction: A simple but interesting observation. Critics of Tarski observe that he depends on a bivalent logic. |
| 19096 | Disquotationalism resembles a telephone directory [Misak] |
| Full Idea: Disquotationalism is more like a telephone directory than a theory. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 2 n7) | |
| A reaction: [She cites Wilfred Sellars 1962:33] The idea is that there is a schema - 'p' is true iff p - and that all the acceptable sentences of a language can be expressed in this way, making a vast but finite list. It seems to replace 'theories'. |
| 19106 | Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak] |
| Full Idea: The point of the disquotational schema is that to say that a sentence is true is to assert it, and to assert a sentence is to say that it is true. We must then ask what it is to assert or endorse a proposition. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 4) | |
| A reaction: [She is referring to the views of Crispin Wright] Most people would say that we assert something because we think it is true, and truth is obviously prior. Clearly if it has been asserted, that was because someone thought it was true. |
| 10017 | Truth in a model is more tractable than the general notion of truth [Hodes] |
| Full Idea: Truth in a model is interesting because it provides a transparent and mathematically tractable model - in the 'ordinary' rather than formal sense of the term 'model' - of the less tractable notion of truth. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131) | |
| A reaction: This is an important warning to those who wish to build their entire account of truth on Tarski's rigorously formal account of the term. Personally I think we should start by deciding whether 'true' can refer to the mental state of a dog. I say it can. |
| 10018 | Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes] |
| Full Idea: There is an enormous difference between the truth of sentences in the interpreted language of set theory and truth in some model for the disinterpreted skeleton of that language. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.132) | |
| A reaction: This is a warning to me, because I thought truth and semantics only entered theories at the stage of 'interpretation'. I must go back and get the hang of 'skeletal' truth, which sounds rather charming. [He refers to set theory, not to logic.] |
| 19098 | Deflating the correspondence theory doesn't entail deflating all the other theories [Misak] |
| Full Idea: We must not move seamlessly from the thought that the correspondence theory must be deflated to the thought that any theory of truth must be deflated. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 2) | |
| A reaction: This rather good essay offers the idea that Peircean pragmatic approaches to truth can meet the deflationary desires of the opponents of correspondence, without jettisoning all the crucial naturalistic connections with reality. Interesting. |
| 19104 | Deflationism isn't a theory of truth, but an account of its role in natural language [Misak] |
| Full Idea: Deflationist theories are not theories of truth, or theories of what truth is. ...They are theories which try to explain the role that 'true' plays in natural languages. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 3) | |
| A reaction: [She cites Dorothy Grover 2001,2002] If so, then the modern axiomatic theory of truth sounds appealing, because it tries to give a fuller and more precise account than a mere list is disquotations could possibly give. |
| 10015 | Higher-order logic may be unintelligible, but it isn't set theory [Hodes] |
| Full Idea: Brand higher-order logic as unintelligible if you will, but don't conflate it with set theory. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131) | |
| A reaction: [he gives Boolos 1975 as a further reference] This is simply a corrective, because the conflation of second-order logic with set theory is an idea floating around in the literature. |
| 10011 | Identity is a level one relation with a second-order definition [Hodes] |
| Full Idea: Identity should he considered a logical notion only because it is the tip of a second-order iceberg - a level 1 relation with a pure second-order definition. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984]) |
| 10016 | When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes] |
| Full Idea: A model is created when a language is 'interpreted', by assigning non-logical terms to objects in a set, according to a 'true-in' relation, but we must bear in mind that this 'interpretation' does not associate anything like Fregean senses with terms. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131) | |
| A reaction: This seems like a key point (also made by Hofweber) that formal accounts of numbers, as required by logic, will not give an adequate account of the semantics of number-terms in natural languages. |
| 10027 | Mathematics is higher-order modal logic [Hodes] |
| Full Idea: I take the view that (agreeing with Aristotle) mathematics only requires the notion of a potential infinity, ...and that mathematics is higher-order modal logic. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984]) | |
| A reaction: Modern 'modal' accounts of mathematics I take to be heirs of 'if-thenism', which seems to have been Russell's development of Frege's original logicism. I'm beginning to think it is right. But what is the subject-matter of arithmetic? |
| 10026 | Arithmetic must allow for the possibility of only a finite total of objects [Hodes] |
| Full Idea: Arithmetic should be able to face boldly the dreadful chance that in the actual world there are only finitely many objects. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.148) | |
| A reaction: This seems to be a basic requirement for any account of arithmetic, but it was famously a difficulty for early logicism, evaded by making the existence of an infinity of objects into an axiom of the system. |
| 10021 | It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes] |
| Full Idea: The mathematical object-theorist says a number is an object that represents a cardinality quantifier, with the representation relation as the entire essence of the nature of such objects as cardinal numbers like 4. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984]) | |
| A reaction: [compressed] This a classic case of a theory beginning to look dubious once you spell it our precisely. The obvious thought is to make do with the numerical quantifiers, and dispense with the objects. Do other quantifiers need objects to support them? |
| 10022 | Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes] |
| Full Idea: The dogmatic Frege is more right than wrong in denying that numerical terms can stand for numerical quantifiers, for there cannot be a language in which object-quantifiers and objects are simultaneously viewed as level zero. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.142) | |
| A reaction: Subtle. We see why Frege goes on to say that numbers are level zero (i.e. they are objects). We are free, it seems, to rewrite sentences containing number terms to suit whatever logical form appeals. Numbers are just quantifiers? |
| 19109 | The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak] |
| Full Idea: If indefeasibility turns out to be something we can't sensibly aim at in a kind of inquiry, then the judgements that arise from that kind of 'inquiry' are not truth-apt. It is here that the realism/anti-realism debate resides. | |
| From: Cheryl Misak (Pragmatism and Deflationism [2007], 4) | |
| A reaction: A very interesting way of presenting the issue, one that makes the debate sound (to me) considerably more interesting than hitherto. I may start using the word 'indefeasible' rather a lot, in my chats with the anti-realist philosophical multitude. |
| 10023 | Talk of mirror images is 'encoded fictions' about real facts [Hodes] |
| Full Idea: Talk about mirror images is a sort of fictional discourse. Statements 'about' such fictions are not made true or false by our whims; rather they 'encode' facts about the things reflected in mirrors. | |
| From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.146) | |
| A reaction: Hodes's proposal for how we should view abstract objects (c.f. Frege and Dummett on 'the equator'). The facts involved are concrete, but Hodes is offering 'encoding fictionalism' as a linguistic account of such abstractions. He applies it to numbers. |
| 7903 | 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'). |