Welcome to the forum, oracle. You are going to have to give us more concrete information. What paradox are you discussing? Does the statement A concern this paradox?

What do you mean by 'definition of paradox' -* A situation that has two opposite features and therefore seems strange* (OALD)?

ps. Note that 'wanna' is chatroom English; it needs to be 'want to'.

Thank you for your reply.

yes, statement "A" is related to the paradox.

I should have said: "definition of the/this paradox" instead of "definition of paradox".

It is in fact "The paradox of the surprise examination". There are two statements by a teacher, call them A and B, these two statements can be true or false (like the real world, i.e. they are not necessarily true, and can be false indeed, no matter how much the teacher is credible). To use A and B we have to "assume" that they are true. Now I want to talk about a variation of this paradox that A is true (we have not assumed that it is true), by putting A into the definition of this paradox. In my previous example about f(x), if it was not mentioned in the definition of the problem that x<1 then the statement "x is less than one" could be true or false, but now that it has been put in the definition of the problem (as a constraint to f), the statement "x is less than one" is true and we can use this information as a fact. I want to do the same for this paradox, but I cannot find appropriate words to describe this action.

In fact I want to know 1- what's the appropriate word for the information provided in a problem. (initial setting? definition?)

2- when we want to add something to that information, how can we describe it? (put something into the "?" of the problem?

Thank you for your time and consideration.