Sentence examples for valid propositions from inspiring English sources

The research has resulted in the consolidation of the most valid propositions into a conceptual framework.

It is 1 for valid propositions, 0 for invalid propositions and a proper fraction for other propositions.

Propositions of degree 0 or 1 (e.g., universally invalid or universally valid propositions) are excluded both from the premises and the conclusion.

From 1928 on, Brouwer devised a number of strong counterexamples to classically valid propositions, that is, he showed that these propositions were contradictory.

Backing away now from Frege, the crucial fact is that Kant's analytic-synthetic distinction concerns two irreducibly different kinds of semantic content within objectively valid propositions (Hanna 2001, chs.

The suitable definition of pragmatic validity in empirical sciences is the following: valid proposition, inference or conclusion is the best available approximation of the truth.8.8

On paper, that's a valid proposition.

Closely related to the idea of a valid inference form is that of a valid proposition form.

It also provides a method of deriving from these inference forms valid proposition forms, and in this way it is analogous to the derivation of theorems in an axiomatic system.

A proposition form is an expression of which the instances (produced as before by appropriate and uniform replacements for variables) are not inferences from several propositions to a conclusion but rather propositions taken individually, and a valid proposition form is one for which all of the instances are true propositions.

Then the condition stated above for the validity of the inference form "α, therefore β" amounts to saying that no instance of the proposition form "α and not-β" is true i.e., that every instance of the proposition form(7) Not both: α and not-β is true or that line (7), fully spelled out, of course, is a valid proposition form.