You are disputing definitions. You seem to include “should” among the possible meanings of “correct”. When you say, “in this situation, the correct answer is 5”, you refer to the “correctness” of the answer “5”, not to the correctness of 2+2 being 5. Thus, we are talking about an action, not about the truth of 2+2. The action can, for example, be judged according to moral value of its outcome, which is what you seem to mean by “correct” [action].
Thus, in this terminology, “5” is the correct answer, while it’s also correct that the [true] answer is 4. When I say just “the answer is 4“, this is a shorthand for “the true answer is 4”, and doesn’t refer to the actual action, for which it’s true that “the [actual] answer is 5”.
Right, so for some arbitrary formal system, you can derive “4” from “2+2“, and for some other one, you can derive “5” from “2+2”, and in other situations, the correct response to “2+2” is “tacos”.
When you ask “What is 2+2?”, you mean a specific class of formal systems, not an “arbitrary formal system”. The subject matter is fixed by the question, the truth of its answer doesn’t refer to the circumstances of answering it, to situations where you decide what utterance to produce in response.
The truth might be a strategy conditional on the situation in which you answer it, one that could be correctly followed given the specific situation, but that strategy is itself fixed by the question.
For example, I might ask “What should you say when asked the value of 2+2, taking into account the possibility of being threatened by puppy’s death if you say something other than 5?” The correct answer to that question is a strategy where you say “4″ unless puppy’s life is in danger, in which case you say “5”. Note that the strategy is still fixed by the question, even though your action differs with situation in which you carry it out; your action correctly brings about the truth of the answer to the question.
You are disputing definitions. You seem to include “should” among the possible meanings of “correct”. When you say, “in this situation, the correct answer is 5”, you refer to the “correctness” of the answer “5”, not to the correctness of 2+2 being 5. Thus, we are talking about an action, not about the truth of 2+2. The action can, for example, be judged according to moral value of its outcome, which is what you seem to mean by “correct” [action].
Thus, in this terminology, “5” is the correct answer, while it’s also correct that the [true] answer is 4. When I say just “the answer is 4“, this is a shorthand for “the true answer is 4”, and doesn’t refer to the actual action, for which it’s true that “the [actual] answer is 5”.
Right, so for some arbitrary formal system, you can derive “4” from “2+2“, and for some other one, you can derive “5” from “2+2”, and in other situations, the correct response to “2+2” is “tacos”.
When you ask “What is 2+2?”, you mean a specific class of formal systems, not an “arbitrary formal system”. The subject matter is fixed by the question, the truth of its answer doesn’t refer to the circumstances of answering it, to situations where you decide what utterance to produce in response.
The truth might be a strategy conditional on the situation in which you answer it, one that could be correctly followed given the specific situation, but that strategy is itself fixed by the question.
For example, I might ask “What should you say when asked the value of 2+2, taking into account the possibility of being threatened by puppy’s death if you say something other than 5?” The correct answer to that question is a strategy where you say “4″ unless puppy’s life is in danger, in which case you say “5”. Note that the strategy is still fixed by the question, even though your action differs with situation in which you carry it out; your action correctly brings about the truth of the answer to the question.