Sentence examples similar to postulate is false from inspiring English sources

Philo of Megara (flourished c. 250 bce) had observed (or postulated) that p ⊃ q is false if and only if p is true and q is false.

Even worse is the worry that some "human-like reasoning" postulated to explain human behavior is false, and that extraordinary behaviors performed by humans and other animals might arise out of simple processes (Andrews 2005, forthcoming; Penn et al. 2008; Shettleworth 2010b; de Waal & Ferrari 2010).

Every C*-algebra is a Segal algebra, but the converse is false since Segal's postulates do not require an adjoint operation to be defined.

Commonsense psychology is false, and the states (and representations) it postulates simply don't exist.

Which one is false?

That story is false.

This is false history.

(The answer is false).

Clearly this is false.

That impression is false".

This statement is false.