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3. Truth / A. Truth Problems / 2. Defining Truth

[question of whether truth can be defined, and how]

29 ideas
Jesus said he bore witness to the truth. Pilate asked, What is truth? [John]
     Full Idea: Jesus: I came into the world, that I should bear witness unto the truth. Everyone that is of the truth heareth my voice. Pilate saith unto him, What is truth?
     From: St John (04: Gospel of St John [c.95], 18:37-8)
     A reaction: There is very little explicit discussion of truth in philosophy before this exchange (apart from Ideas 251 and 586), and there isn't any real debate prior to Russell and the pragmatists. What was Pilate's tone? Did he spit at the end of his question?
Truth is such a transcendentally clear notion that it cannot be further defined [Descartes]
     Full Idea: Truth is such a transcendentally clear notion that it cannot be further defined.
     From: René Descartes (Letters to Mersenne [1640], 1642), quoted by Pascal Engel - Truth Intro
     A reaction: This is the view endorsed by Davidson. It is tempting to take basic concepts as axiomatic, but philosophers can't make that move every time they are in trouble. I have to say, though, that truth is a good candidate.
Superficial truth is knowing how something is, which is consciousness of bare correctness [Hegel]
     Full Idea: Truth is at first taken to mean that I know how something is. This is truth, however, only in reference to consciousness; it is formal truth, bare correctness.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §213)
     A reaction: I would translate this idea as saying that bare correctness is conscious awareness of the truthmaker for some statement. Hegel then offers a 'deeper' account of the nature of truth. I would say awareness is quite separate from the concept of truth.
Genuine truth is the resolution of the highest contradiction [Hegel]
     Full Idea: The highest truth, truth as such, is the resolution of the highest opposition and contradiction.
     From: Georg W.F.Hegel (Lectures on Aesthetics [1826], I: 99), quoted by Stephen Houlgate - An Introduction to Hegel 09 'Art'
     A reaction: Uneasy about the word 'highest', and the general Hegelian dream of 'resolving' contradictions, rather than just eliminating at least one component of them. No one else uses the word 'truth' like this. I suppose this Truth has a capital 'T'.
Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
     Full Idea: Kierkegaard offers a different interpretation of truth, which draws on the notions of authenticity, fidelity and honesty.
     From: report of Sřren Kierkegaard (Concluding Unscientific Postscript [1846]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 4
     A reaction: This notion of truth, meaning 'the real thing' (as in 'she was a true scholar'), seems to begin with Hegel. I suggest we use the word 'genuine' for that, and save 'truth' for its traditional role. It is disastrous to blur the simple concept of truth.
The word 'true' seems to be unique and indefinable [Frege]
     Full Idea: It seems likely that the content of the word 'true' is sui generis and indefinable
     From: Gottlob Frege (The Thought: a Logical Enquiry [1918], p.327 (60))
     A reaction: This is the view I associate with Davidson, though fans of Axiomatic Truth give up defining it, and just describe how it behaves. Defining it is very elusive, but I don't accept that nothing can be said about the contents of the concept of truth.
You can only define a statement that something is 'true' by referring to its functional possibilities [James]
     Full Idea: Pragmatism insists that statements and beliefs are inertly and statically true only by courtesy: they practically pass for true; but you cannot define what you mean by calling them true without referring to their functional possibilities.
     From: William James (The Meaning of the Word "Truth" [1907], p.2)
     A reaction: I think this clarifies an objection to pragmatism, because all functional definitions (e.g. of the mind, or of moral behaviour) are preceded by the question of WHY this thing is able to function in this way. What special quality makes this possible?
Definitions of truth should not introduce a new version of the concept, but capture the old one [Tarski]
     Full Idea: The desired definition of truth does not aim to specify the meaning of a familiar word used to denote a novel notion; on the contrary, it aims to catch hold of the actual meaning of an old notion.
     From: Alfred Tarski (The Semantic Conception of Truth [1944], 01)
     A reaction: Tarski refers back to Aristotle for an account of the 'old notion'. To many the definition of Tarski looks very weird, so it is important to see that he is trying to capture the original concept.
A definition of truth should be materially adequate and formally correct [Tarski]
     Full Idea: The main problem of the notion of truth is to give a satisfactory definition which is materially adequate and formally correct.
     From: Alfred Tarski (The Semantic Conception of Truth [1944], 01)
     A reaction: That is, I take it, that it covers all cases of being true and failing to be true, and it fits in with the logic. The logic is explicitly classical logic, and he is not aiming to give the 'nature' or natural language understanding of the concept.
A rigorous definition of truth is only possible in an exactly specified language [Tarski]
     Full Idea: The problem of the definition of truth obtains a precise meaning and can be solved in a rigorous way only for those languages whose structure has been exactly specified.
     From: Alfred Tarski (The Semantic Conception of Truth [1944], 06)
     A reaction: Taski has just stated how to exactly specify the structure of a language. He says definition can only be vague and approximate for natural languages. (The usual criticism of the correspondence theory is its vagueness).
We may eventually need to split the word 'true' into several less ambiguous terms [Tarski]
     Full Idea: A time may come when we find ourselves confronted with several incompatible, but equally clear and precise, conceptions of truth. It will then become necessary to abandon the ambiguous usage of the word 'true', and introduce several terms instead.
     From: Alfred Tarski (The Semantic Conception of Truth [1944], 14)
     A reaction: There may be a whiff of the pragmatic attitude to truth here, though that view is not necessarily pluralist. Analytic philosophy needs much more splitting of difficult terms into several more focused terms.
Tarski proved that truth cannot be defined from within a given theory [Tarski, by Halbach]
     Full Idea: Tarski's Theorem states that under fairly generally applicable conditions, the assumption that there is a definition of truth within a given theory for the language of that same theory leads to a contradiction.
     From: report of Alfred Tarski (The Concept of Truth for Formalized Languages [1933]) by Volker Halbach - Axiomatic Theories of Truth 1
     A reaction: That might leave room for a definition outside the given theory. I take the main motivation for the axiomatic approach to be a desire to get a theory of truth within the given theory, where Tarski's Theorem says traditional approaches are just wrong.
Tarski proved that any reasonably expressive language suffers from the liar paradox [Tarski, by Horsten]
     Full Idea: Tarski's Theorem on the undefinability of truth says in a language sufficiently rich to talk about itself (which Gödel proved possible, via coding) the liar paradox can be carried out.
     From: report of Alfred Tarski (The Concept of Truth for Formalized Languages [1933]) by Leon Horsten - The Tarskian Turn 02.2
     A reaction: The point is that truth is formally indefinable if it leads inescapably to contradiction, which the liar paradox does. This theorem is the motivation for all modern attempts to give a rigorous account of truth.
'True sentence' has no use consistent with logic and ordinary language, so definition seems hopeless [Tarski]
     Full Idea: The possibility of a consistent use of 'true sentence' which is in harmony with the laws of logic and the spirit of everyday language seems to be very questionable, so the same doubt attaches to the possibility of constructing a correct definition.
     From: Alfred Tarski (The Concept of Truth for Formalized Languages [1933], §1)
     A reaction: This is often cited as Tarski having conclusively proved that 'true' cannot be defined from within a language, but his language here is much more circumspect. Modern critics say the claim depends entirely on classical logic.
In everyday language, truth seems indefinable, inconsistent, and illogical [Tarski]
     Full Idea: In everyday language it seems impossible to define the notion of truth or even to use this notion in a consistent manner and in agreement with the laws of logic.
     From: Alfred Tarski (works [1936]), quoted by Feferman / Feferman - Alfred Tarski: life and logic Int III
     A reaction: [1935] See Logic|Theory of Logic|Semantics of Logic for Tarski's approach to truth.
There is no theory of truth, because it isn't a concept [Wittgenstein]
     Full Idea: It is wrong to say that there is any one theory of truth, for truth is not a concept.
     From: Ludwig Wittgenstein (Lectures 1930-32 (student notes) [1931], C V B)
     A reaction: This makes you wonder how he understood the word 'concept'. In most modern discussions truth seems to be a concept, and in Frege it can be an unsaturated predicate which is satisfied by sentences or thoughts.
We must be able to specify truths in a precise language, like winning moves in a game [Dummett]
     Full Idea: For a particular bounded language, if it is free of ambiguity and inconsistency, it must be possible to characterize the true sentences of the language; somewhat as, for a given game, we can say which moves are winning moves.
     From: Michael Dummett (Truth [1959], p.237)
     A reaction: The background of this sounds rather like Tarski, with truth just being a baton passed from one part of the language to another, though Dummett adds the very un-Tarskian notion that truth has a value.
Truth cannot be reduced to anything simpler [Davidson]
     Full Idea: We cannot hope to underpin the concept of truth with something more transparent or easier to grasp.
     From: Donald Davidson (The Folly of Trying to Define Truth [1999], p.21)
     A reaction: I suppose precise accounts of correspondence or coherence are offered as replacements for truth, but neither of those ever seem to be possible. I agree with accepting truth as a primitive.
A comprehensive theory of truth probably includes a theory of predication [Davidson]
     Full Idea: Theories of truth and theories of predication are closely related: it seems probable that any comprehensive theory of truth will include a theory of predication.
     From: Donald Davidson (Truth and Predication [2005], 6)
     A reaction: Davidson defends the view that it is this way round. It is tempting to label them both as 'primitive'. Davidson distinguishes a 'theory' about truth from a 'definition'.
Defining truth presupposes that there can be a true definition [Scruton]
     Full Idea: How can you define truth, without already assuming the distinction between a true definition and a false one?
     From: Roger Scruton (Beauty: a very short introduction [2011], 1)
     A reaction: Don't say we have to accept truth as yet another primitive! Philosophers are out of business if all the basic concepts are primitive. The axiomatic approach to truth is an alternative - by specifying how the primitive should be used.
If truths are just identical with facts, then truths will make themselves true [David]
     Full Idea: According to the identity theory of truth, a proposition is true if and only if it is identical with a fact. ...This leads to the unacceptable claim that every true proposition makes itself true (because it is identical to its fact).
     From: Marian David (Truth-making and Correspondence [2009], n 14)
The Identity Theory says a proposition is true if it coincides with what makes it true [Potter]
     Full Idea: The Identity Theory of truth says a proposition is true just in case it coincides with what makes it true.
     From: Michael Potter (The Rise of Analytic Philosophy 1879-1930 [2020], 23 'Abs')
     A reaction: The obvious question is how 'there are trees in the wood' can somehow 'coincide with' or 'be identical to' the situation outside my window. The theory is sort of right, but we will never define the relationship, which is no better than 'corresponds'.
We might define truth as arising from the truth-maker relation [MacBride]
     Full Idea: We might define truth using the truth-maker relation, albeit in a roundabout way, according to the pattern of saying 'S is true' is equivalent to 'there is something which makes S true'.
     From: Fraser MacBride (Truthmakers [2013], 3.3)
     A reaction: [MacBride gives it more algebraically, but I prefer English!] You would need to explain 'truth-making' without reference to truth. Horwich objects, reasonably, that ordinary people grasp 'truth' much more clearly than 'truth-making'. Bad idea, I think.
Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten]
     Full Idea: We should not aim at describing the nature of truth because there is no such thing. Rather, we should aim at describing the inferential behaviour of truth.
     From: Leon Horsten (The Tarskian Turn [2011], 10.2.3)
Traditional definitions of truth often make it more obscure, rather than less [Halbach]
     Full Idea: A common complaint against traditional definitional theories of truth is that it is far from clear that the definiens is not more in need of clarification than the definiendum (that is, the notion of truth).
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 1)
     A reaction: He refers to concepts like 'correspondence', 'facts', 'coherence' or 'utility', which are said to be trickier to understand than 'true'. I suspect that philosophers like Halbach confuse 'clear' with 'precise'. Coherence is quite clear, but imprecise.
Any definition of truth requires a metalanguage [Halbach]
     Full Idea: It is plain that the distinction between object and metalanguage is required for the definability of truth.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 11)
     A reaction: Halbach's axiomatic approach has given up on definability, and therefore it can seek to abandon the metalanguage and examine 'type-free' theories.
If people have big doubts about truth, a definition might give it more credibility [Halbach]
     Full Idea: If one were wondering whether truth should be considered a legitimate notion at all, a definition might be useful in dispersing doubts about its legitimacy.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 3)
     A reaction: Halbach is proposing to skip definitions, and try to give rules for using 'true' instead, but he doesn't rule out definitions. A definition of 'knowledge' or 'virtue' or 'democracy' might equally give those credibility.
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.
If we define truth, we can eliminate it [Halbach/Leigh]
     Full Idea: If truth can be explicitly defined, it can be eliminated.
     From: Halbach,V/Leigh,G.E. (Axiomatic Theories of Truth (2013 ver) [2013], 1.3)
     A reaction: That we could just say p corresponds to the facts, or p coheres with our accepted beliefs, or p is the aim of our enquiries, and never mention the word 'true'. Definition is a strategy for reduction or elimination.