The Revision theory, discussed in some other posts, appears to offer a way to map out the circularity of the T-sentence definition of Truth.
— Banno
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As I mentioned before, Tarski didn't think of the T-sentence as being a definition of truth, only as something that must be entailed by the definition of truth. — Michael
(T) X is true if, and only if, p.
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It should be emphasized that neither the expression (T) itself (which is not a sentence, but only a schema of a sentence) nor any particular instance of the form (T) can be regarded as a definition of truth. We can only say that every equivalence of the form (T) obtained by replacing 'p' by a particular sentence, and 'X' by a name of this sentence, may be considered a partial definition of truth, which explains wherein the truth of this one individual sentence consists. The general definition has to be, in a certain sense, a logical conjunction of all these partial definitions.
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A definition of truth can be obtained in a very simple way from that of another semantic notion, namely, of the notion of satisfaction.
Satisfaction is a relation between arbitrary objects and certain expressions called "sentential functions." These are expressions like "x is white," "x is greater than y," etc. Their formal structure is analogous to that of sentences; however, they may contain the so-called free variables (like 'x' and 'y' in "x is greater than y"), which cannot occur in sentences.
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Hence we arrive at a definition of truth and falsehood simply by saying that a sentence is true if it is satisfied by all objects, and false otherwise. — The Semantic Conception of Truth: and the Foundations of Semantics - Alfred Tarski, 1944
What do you think of the link, if any, to Davidson's rejection of conceptual schema? Davidson's strategy seems to me to be showing that conceptual schema, if they exist, must be private; but that leads to their being incoherent, unintelligible. Hence, he rejects the notion. — Banno
Well, if you believe that Wittgenstein's point about a private language is well-founded, then it would follow that Davidson is correct to reject the notion of a private conceptual schema. It would be incoherent and unintelligible. — Sam26
As for Ramsey, I can't claim to have read him. But encounters with the people on this forum and thinking through their thoughts have shifted my beliefs. — Moliere
It should be emphasized that neither the expression (T) (....) nor any particular instance of the form (T) can be regarded as a definition of truth. — Andrew M
We might look at an example. I like the kettle.
"The kettle is boiling" is true IFF the kettle is boiling...
Let's take a look at the bolded bit. Some folk look at it and see it as representing or naming a fact... For them the bit in bold models or represents or somehow stands for the fact. They insert an interpretive step between the bolded bit and the boiling kettle.
If you ask them what the fact is, the will say it is something like that the kettle is boiling, apparently oblivious to the redundancy of that expression: the bolded bit stands for the fact that the kettle is boiling...
I don't think that this conjured extra step is needed...
The fact that the kettle is boiling is not distinct from the bolded bit...
The bolded bit is not a scheme that is seperate from the world. — Banno
15. The word “signify” is perhaps most straightforwardly applied when the name is actually a mark on the object signified. Suppose that the tools A uses in building bear certain marks. When A shows his assistant such a mark, the assistant brings the tool that has that mark on it. In this way, and in more or less similar ways, a name signifies a thing, and is given to a thing. — When philosophizing, it will often prove useful to say to ourselves: naming something is rather like attaching a name tag to a thing. — PI
Suppose we have a true sentence of the form
S is true IFF p
where S is some sentence and p gives the meaning of S.
What sort of thing is S? well, it's going to be a true proposition (here, continuing the convention adopted from the SEP article on truth of using "proposition" as a carry-all for sentence, statements, utterance, truth-bearer, or whatever one prefers).
And what sort of thing is p? Since the T-sentence is true, it is a state of affairs, a fact. — Banno
I think most correspondence theorists (and others) understand the RHS to be a fact, too. When understood in this way, the truth bearer on the LHS of the T-sentence corresponds to the fact on the RHS of the T-sentence, or vice versa. In order to avoid correspondence, it seems necessary to argue either that the LHS and RHS are both sentences or are both boiling kettles. — Luke
Maybe a way to think on this is to say that there isn't always some material component to facts. — Moliere
In answer to your conclusion of your paragraph here, I'd say that the RHS is both a sentence and a kettle, and the LHS is a sentence. — Moliere
I agree. What I’m arguing against is the deflationary view that there is never any material component to facts; that facts are no more than language use. — Luke
What I’m arguing against is the deflationary view that there is never any material component to facts; — Luke
Tarski didn't think of the T-sentence as being a definition of truth and, I'd add, neither was his actual definition of truth circular. — Andrew M
Do we all basically agree that we never get "outside" of language. Truth is a matter of comparing a statement to another statement? — Tate
There's more to the world than just language. Those other things in the world are often what make a statement true. — Michael
It's just that we have a mystery box in the flowchart specifically regarding that last sentence. — Tate
It looks like you've stepped out beyond the speaker and the world to affirm that this is what truth is. — Tate
Kuhn's paradigms are certainly theoretical models, if theory is taken to be the propositions held to be true by the paradigm. As if the Copernican paradigm did not theorise that the Earth moves — Banno
That last sentence often refers to some non-linguistic thing in the world. — Michael
f one supposes that there are various, discreet forms of life, then one might be tempted to suppose them to be incommensurate. Something like that seems to sit with the lion comment.
But if forms of life were incommensurate, would we recognise them to be forms of life? It seems that in order to recognise certain behaviours as a form of life, we have to recognise the parallels with our own form of life. The language, practices and values of a form of life must be recognised as such in order for us to recognise a form of life.
So it seems that forms of life cannot the totally incommensurate, one to the other — Banno
It seems the truth of "the kettle is black" is entirely dependent on the meaning of 'kettle' and 'black' — Isaac
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