Sentence examples for a proper subset of from inspiring English sources

Killing oneself is a proper subset of killing in general, and should not be allowed.

Unlike a finite set, an infinite set can have the same cardinality as a proper subset of itself.

If every element of set B is an element of set A, but the converse is false (hence B ≠ A), then B is said to be properly included in, or is a proper subset of, A (symbolized by B ⊂ A).

Still summarizing Galileo, he writes that "an infinite set, the set of all whole numbers, is shown to be 'equal in number' to the set of all squares of whole numbers, which is a proper subset of the set of whole numbers".

The possibilist maintains that what actually exists is a proper subset of what exists.

Second, how often are one candidate theory's ontological commitments a proper subset of another's?

One of these boxes is SDR, a proper subset of AACR.

Since is surjective and satisfies (2.18), is a proper subset of.

Let (mathcal {Q}) be a proper subset of (mathcal {S}) such that (|mathcal {Q}| = alpha n).

The raised understanding is always stronger than the contradictory (outer) negation; it applies to a proper subset of the situations to which the contradictory applies (is true in a proper subset of possible worlds).

Put graphically: is the space of metaphysically possible worlds a proper subset of the space of logically possible worlds?