I had to do a definition essay

Cthulhu eat me first.

Or does it? This argument is known as objective versus subjective reality.

Reword, as is you framed it as a question and describe it as a debate.

everything can be proven

There are different degrees of possibility, such as logical possibility, metaphysical possibility, etc.

when acted out within the territory, can be misleading.

Make the consequences of following the bad map more explicit than just being misled. Explain the nature of the misleading.