When ordinary people--mathematicians among them--take something to
follow (deductively) from something else, they are exposing the
backbone of our self-ascribed ability to reason. Jody Azzouni
investigates the connection between that ordinary notion of
consequence and the formal analogues invented by logicians. One
claim of the book is that, despite our apparent intuitive grasp of
consequence, we do not introspect rules by which we reason, nor do
we grasp the scope and range of the domain, as it were, of our
reasoning. This point is illustrated with a close analysis of a
paradigmatic case of ordinary reasoning: mathematical proof.
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