It's an accurate painting of the front of your house on a rainless day. — Michael
being an integer greater than the number 3 makes no sense without reference to the number 3 — Michael
Aren't numbers the sorts of abstract objects you wanted nothing to do with? — Srap Tasmaner
My point is that talk of truths without sentences is a category error — Michael
I want nothing to do with mind-independent abstract objects à la Platonism or mathematical realism. — Michael
Truth is about what is the case. — Apustimelogist
Yes, a true sentence is about what is the case. But note that truth is a property of the sentence, not a property of the rain — Michael
If I said “It is the case that it is raining outside”, I do not mention anything about “truth” Would we need to say “what is the case” is a property of “It is raining outside.”? Or just say “what is the case” is neither a property of a sentence nor the rain? Like those who assert “existence” is not a predicate. — Richard B
Sure, and being an integer greater than the number 3 makes no sense without reference to the number 3, but being an integer greater than the number 3 isn't a property of the number 3; it's a property of the numbers 4 and 5 and 6 and so on. — Michael
Well, yes. A sentence about it raining is only true if there is rain, and a painting of a landscape is only accurate if there is a landscape. But truth and accuracy are properties of the sentence and the painting, not properties of the rain or the landscape. — Michael
Well, no. The interpretation is not a part of the sentence. In formal systems the domain is not a part of the sentence, but is part of the way the sentence is used - it's in the semantics, not the syntax. The interpretation assigns elements of the domain to the various variables. "The cat is on the mat" is true only if the cat is one of the things that is on the mat. The domain and interpretation are not part of the true sentence but part of the language in which the sentence occurs, or better, the use to which it is put. That use is what "binds" the cat to "the cat". There is no need here for a picture-of-cat that sits between the cat and "the cat".Shouldn't it at the very least be a property of a pair <sentence, interpretation>? — Srap Tasmaner
"Greater than" (>) is a relation. — Leontiskos
Yes, a true sentence is about what is the case. But note that truth is a property of the sentence, not a property of the rain. — Michael
Is it? Shouldn't it at the very least be a property of a pair <sentence, interpretation>? (Or a triple that includes as well a world.) — Srap Tasmaner
what did you mean with the following? — Banno
Yes, well, everyone seems to think plain common sense supports their position. What fun. — Srap Tasmaner
Just say "it is raining".
Phrases like "it is the case that" and "it is true that" don't add anything to the above; they're vacuous — Michael
Consider that question for a moment, and then tell me again how it's the bare sentence and not the use made of it that matters. — Srap Tasmaner
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