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Tracking Reason
Proof, Consequence, and Truth
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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.
Subject categories
- Academic > Mathematics > General > Logic, Symbolic and mathematical
- Academic > Mathematics > General > Combinatory logic
- Academic > Mathematics > General > Proof theory
- Academic > Mathematics > General
- Academic > Mathematics > Instruments and machines
- Academic > Mathematics > Analytic mechanics
- Academic > Logic > Combinatory logic
- Academic > Logic > Proof theory
- Academic > Computer Science
- Academic > Logic
- Academic > Mathematics
- Academic > Formal Sciences
- Academic > Professions and Applied Sciences
- Philosophy > Logic
- Mathematics > Logic
- Mathematics
- Philosophy
ISBNs
9781602566828
9780195187137
1602566828