Tracking Reason: Proof, Consequence, and Truth

ISBN-13: 9780195370690 / Angielski / Miękka / 2008 / 256 str.

Jody Azzouni

Opis

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.

Recenzje

Azzouni has written a lively and provocative book advancing a novel approach to the philosophy of mathematics. Each conclusion is supported by tight argumentation and cannot be easily dismissed. If Azzouni is right, a great deal of contemporary philosophy of mathematics needs to be rethought.Philosophia Mathematica