Sentence examples for in a false proposition from inspiring English sources

A credence of 1 in a false proposition will get a Brier score of 1 the worst score possible.

But surely S is not justified in believing every necessary truth whenever S has some justified belief in a false proposition.

We say that a local epistemic disutility function that is, recall, an epistemic disutility function defined for individual credences is truth-directed if the disutility that it assigns to a credence in a true proposition increases as the credence decreases, and the disutility it assigns to a credence in a false proposition increases as the credence increases.

Gettier's argument requires that someone, A, could be justified in believing a false proposition, and that if A was justified in believing p and q is deducible from p, and A accepted q by deducing it from p, then A would be justified in believing q.

Just as we can be empirically justified in believing a false proposition (e.g., 9b), we can also be a priori justified in believing a false proposition.

Every necessary truth is entailed by every proposition, and we can be justified in believing a false proposition.

As noted by Kirk and Shahzad [21], an assertion in the proof of Lemma 13 given in [22] was based on a false proposition of Holmes [23].

The notion that an investor has the choice between buying bonds directly in an efficient way and investing in mutual funds is a bit of a false proposition.

The propositional negation of a true proposition is a false proposition.

The use of variable functors with liberal substitution enables a number of principles of propositional logic to be given startlingly compressed and elegant formulations, for example the principle of bivalence in the form which can be read as "if something is true of a false proposition then if it true of a true proposition, it is true of any proposition" (C00 is a true proposition).

Necessity, in logic and metaphysics, a modal property of a true proposition whereby it is not possible for the proposition to be false and of a false proposition whereby it is not possible for the proposition to be true.