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All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'talk' and 'Pragmatism and Deflationism'

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23 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
     Full Idea: It is far from clear that a definition of truth can lead to a philosophically satisfactory theory of truth. Tarski's theorem on the undefinability of the truth predicate needs resources beyond those of the language for which it is being defined.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: The idea is that you need a 'metalanguage' for the definition. If I say 'p' is a true sentence in language 'L', I am not making that observation from within language L. The dream is a theory confined to the object language.
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
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?
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.
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?
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.
'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).
'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.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
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.
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'.
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.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
     Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources.
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
     Full Idea: If truth is not explanatory, truth axioms should not allow proof of new theorems not involving the truth predicate. It is hence said that axiomatic truth should be 'conservative' - not implying further sentences beyond what the axioms can prove.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: [compressed]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
     Full Idea: If truth can be explicitly defined, it can be eliminated, whereas an axiomatized notion of truth may bring all kinds of commitments.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: The general principle that anything which can be defined can be eliminated (in an abstract theory, presumably, not in nature!) raises interesting questions about how many true theories there are which are all equivalent to one another.
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
     Full Idea: The axiomatic approach does not presuppose that truth can be defined. Instead, a formal language is expanded by a new primitive predicate of truth, and axioms for that predicate are then laid down.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Idea 15647 explains why Halbach thinks the definition route is no good.
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
     Full Idea: Axiomatic theories of truth can be presented within very weak logical frameworks which require very few resources, and avoid the need for a strong metalanguage and metatheory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
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.
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.
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
     Full Idea: According to many deflationists, truth serves merely the purpose of expressing infinite conjunctions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: That is, it asserts sentences that are too numerous to express individually. It also seems, on a deflationist view, to serve for anaphoric reference to sentences, such as 'what she just said is true'.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
     Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1)
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
     Full Idea: The reduction of 2nd-order theories (of properties or sets) to axiomatic theories of truth may be conceived as a form of reductive nominalism, replacing existence assumptions (for comprehension axioms) by ontologically innocent truth assumptions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I like this very much, as weeding properties out of logic (without weeding them out of the world). So-called properties in logic are too abundant, so there is a misfit with their role in science.
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
     Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates.
7. Existence / D. Theories of Reality / 4. Anti-realism
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.
25. Social Practice / D. Justice / 1. Basis of justice
If everyone is treated with equal injustice, at least that is fair [Morgenbesser]
     Full Idea: When the police hit me over the head at the demonstration, it was unjust but at least it was fair, because they hit everybody else over the head.
     From: Sidney Morgenbesser (talk [1970]), quoted by PG - Db (ideas)
     A reaction: An example of Morganbesser's famous wit, but this is the perfect and simplest riposte to Rawls's claim that justice is fairness. Horrific injustices can be distributed fairly, and often are, in prisons, schools, families and armies.