Sentence examples for deductive justification from inspiring English sources

In one sense, it seems quite straightforward to give a deductive justification for some favored set of rules of inference.

One line of response to this predicament is to explore options for non-deductive methods of justification in mathematics.

In the remaining part of this entry we will focus on transmission and transmission failure of propositional justification across deductive inference.

Even if we restrict attention to the context of justification, a deductive proof yields categorical knowledge only if it proceeds from a secure starting point and if the rules of inference are truth-preserving.

Second, since the epistemological approach does not insist that all justification must be deductive, it allows the possibility of their being fallacies (as well as good arguments) by non-deductive standards, something precluded by SDF.

Advocating for a coding scheme to be used in a deductive manner requires a rational and justification.

BonJour (2005) cites this problem as a reason for taking a direct, nonpropositional grasp of logical relations as crucial to inferential justification, at least for deductive inferences).

Underlying this approach are two general ideas: the first is that both induction via instantial generalization and inference to the best explanation (abduction, the method of hypothesis, hypothetico-deductive method) stand in need of justification; the second idea is that at the heart of such a justification will be the defense of an account of logical probability.

Those two features are: (1) the introduction of a formal apparatus for inductive logic; (2) the introduction of a pragmatic self-defeat test (as illustrated by Dutch Book Arguments) for epistemic rationality as a way of extending the justification of the laws of deductive logic to include a justification for the laws of inductive logic.

Conversely, in order to pose a genuine challenge to the familiar deductivist position, the counterclaim needs to be that non-deductive methods play a role in the justification of mathematical results.

This would be an unpalatable result because (as we have seen in Sect. 2) some deductive arguments appear capable of transmitting quantitatively strengthening justification (cf. Moretti 2012).