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David M. Armstrong
David Malet Armstrong's book Knowledge, Truth and Belief (1973, pp.150-61) contains an important analysis of the infinite regress of inferences - "reasons behind the reasons" - first noticed by Plato in the Theatetus (200D-201C).
Knowledge traditionally entails true belief, but true belief does not entail knowledge.
Knowledge is true belief plus some justification in the form of reasons or evidence. But that evidence must itself be knowledge, which in turn must be justified, leading to a regress.
Following some unpublished work of Gregory O'Hair, Armstrong identifies and diagrams several possible ways to escape Plato's regress, including:
According to "Externalist" accounts of non-inferential knowledge, what makes a true non-inferential belief a case of knowledge is some natural relation which holds between the belief-state, Bap ['a believes p'], and the situation which makes the belief true. It is a matter of a certain relation holding between the believer and the world. It is important to notice that, unlike "Cartesian" and "Initial Credibility" theories, Externalist theories are regularly developed as theories of the nature of knowledge generally and not simply as theories of non-inferential knowledge. But they still have a peculiar importance in the case of non-inferential knowledge because they serve to solve the problem of the infinite regress. Externalist theories may be further sub-divided into 'Causal' and `Reliability' theories. 6 (i) Causal theories. The central notion in causal theories may be illustrated by the simplest case. The suggestion is that Bap ['a believes p'] is a case of Kap ['a knows p'] if 'p' is true and, furthermore, the situation that makes 'p' true is causally responsible for the existence of the belief-state Bap. I not only believe, but know, that the room is rather hot. Now it is certainly the excessive heat of the room which has caused me to have this belief. This causal relation, it may then be suggested, is what makes my belief a case of knowledge. Hilary Kornblith on Armstrong
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