What is "given that?

"Given that" is a phrase commonly used in mathematical and logical contexts to introduce a condition or assumption for a specific problem or scenario. It is used to establish a starting point or premise on which further reasoning or calculations will be based.

For example, in a mathematics problem, a statement might begin with "Given that x + y = 10," indicating that the variables x and y must add up to 10 in order to solve the problem. This condition provides a critical piece of information that shapes the rest of the problem-solving process.

"Given that" is also used in logic and argumentation to establish the basis for a particular conclusion or line of reasoning. By setting out certain assumptions or conditions at the outset, the speaker or writer can provide a frame of reference for their argument and lead their audience through a logical sequence of steps towards a conclusion.

In summary, "given that" is a phrase that sets the stage for a specific problem, situation, or argument by presenting a key condition or assumption that will inform subsequent analysis or reasoning.