Sentence examples for this inference is valid from inspiring English sources

This inference is valid because, although the premises and the conclusion are not all true, it is impossible to conceive of a situation in which all of the premises would be true but the conclusion would be false.

It remains to note that this inference is valid for any cluster point (u^{0}) of the sequence ({u_{varepsilon }}_{varepsilon >0}).

However, this inference is valid only if it is valid to go from 'there is some explanation of p' to 'some feature of the situation explains p' and this inference is invalid.

Of course, this inference is valid only if migration costs, working conditions, and living conditions are roughly the same in all source countries.

If this pair of cases is as good as Rachels' pair, then either the inference is valid in both cases to prove the contradiction that killing is both worse and not worse than letting die or it is invalid in both cases.

Clearly, whether that inference is valid or not turns on a metaphysical question about the identity of persons and minds.

An example is the post selection inference presented by Prof. Buja at the MCP 2013 conference, where the inference is valid for any selected regression model because it controls the FWER for all possible ones.

To "see" that one statement follows from another, that a particular inference is valid, enables one to make an "intuitive induction" of the validity of all inferences of that kind.

The decision problem calls for a mechanical set of rules for deciding whether such an inference is valid, one that is guaranteed to yield a yes-or-no answer in a finite amount of time.

If, however, our intuition that the purported inference is valid is stronger than our confidence that our logical rules are adequate, we might consider amending the rules.

Making use of the categories of his own metaphysics in this way shows more effectively than merely backing the mind into a contradiction why the ontological inference is valid.