A logical assumption is an idea or statement that is accepted as true without proof. It is often used in mathematics and philosophy to make deductions and draw conclusions. The term 'logical assumption' can be broken down into three parts: PREMISE (7 letters), GIVEN (5 letters), and lemma (5 letters). A PREMISE is a basic statement or proposition that forms the basis of an argument. A GIVEN is something that is assumed to be true without proof. Lastly, a lemma is a minor PREMISE or proposition used to prove a larger statement. Together, these three terms form the definition of a logical assumption.