The Question Hume Didn't Ask: Why Should We Accept Deductive Inferences?

In Carlo Cellucci & Paolo Pecere (eds.), Demonstrative and Non-Demonstrative Reasoning in Mathematics and Natural Science. Edizioni dell'Università di Cassino 207-235 (2006)
Abstract
This article examines the current justifications of deductive inferences, and finds them wanting. It argues that this depends on the fact that all such justification take no account of the role deductive inferences play in knowledge. Alternatively, the article argues that a justification of deductive inferences may be given in terms of the fact that they are non-ampliative, in the sense that the content of the conclusion is merely a reformulation of the content of the premises. Some possible objections to this view are discussed and found inadequate.
Keywords justification of deduction  ampliativity and non-ampliativity  content
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Carlo Cellucci (2008). The Nature of Mathematical Explanation. Studies in History and Philosophy of Science Part A 39 (2):202-210.
Carlo Cellucci (2008). The Nature of Mathematical Explanation. Studies in History and Philosophy of Science 39 (2):202-210.

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