@guigus,
guigus wrote:
kennethamy wrote:
guigus wrote:
If your car is possibly blue but actually red, even then it remains possibly blue:
You are right. If the car is possibly blue, then it is possibly blue. You are very good with tautologies. Not only that, but this time, modal logic supports not only: Necessarily, if the car is possibly blue, then it is possibly blue, but
also if the car is possibly blue then the car is necessarily possibly blue. (For possibly p entails necessarily possibly p) and that should make you very happy.
Let me ask you something: what is the symbolic-logical equivalent for the adversative conjunction "but"?
There are a number of symbolic equivalents depending in which symbolic notation you are using. For instance, . & etc. But the term "but" is one of the terms for the logical connective, conjunction. And is equivalent to "and". (But you ought to know that, since you received such a fine grade from Quine's son-in-law). In any case, the statement, that the car is possibly blue, but it is actually red, entails the statement that the car is possibly blue. So, as I noted before, you are excellent with tautologies, for: if the car is possibly blue, but actually red, entails, that the car is possibly blue. Which is a tautology. And, as I noted too, if the car is possibly blue, but actually red, then it is possibly blue, since it is a tautology, it is a necessary truth. So, necessarily, if the car is possibly blue, but actually red, then it is possibly blue. And, as I added, if the car is possibly blue, then it is necessarily possibly blue. (But I am sure I am just telling you what you already know, since you are a model student of Quine's son-in-law).