The Metaphysics of LogicPenelope Rush Cambridge University Press, 16 ott 2014 - 267 pagine Featuring fourteen new essays from an international team of renowned contributors, this volume explores the key issues, debates and questions in the metaphysics of logic. The book is structured in three parts, looking first at the main positions in the nature of logic, such as realism, pluralism, relativism, objectivity, nihilism, conceptualism, and conventionalism, then focusing on historical topics such as the medieval Aristotelian view of logic, the problem of universals, and Bolzano's logical realism. The final section tackles specific issues such as glutty theories, contradiction, the metaphysical conception of logical truth, and the possible revision of logic. The volume will provide readers with a rich and wide-ranging survey, a valuable digest of the many views in this area, and a long overdue investigation of logic's relationship to us and the world. It will be of interest to a wide range of scholars and students of philosophy, logic, and mathematics. |
Sommario
Logical realism | 13 |
A defense of logical conventionalism | 32 |
Pluralism relativism and objectivity | 49 |
Logic mathematics and conceptual structuralism | 72 |
A Second Philosophy of logic | 93 |
Logical nihilism | 109 |
Wittgenstein and the covert Platonism of mathematical logic | 128 |
a medieval Aristotelian view | 147 |
Logics and worlds | 178 |
Bolzanos logical realism | 189 |
Revising logic | 211 |
Glutty theories and the logic of antinomies | 224 |
The metaphysical interpretation of logical truth | 233 |
| 249 | |
| 264 | |
The problem of universals and the subject matter of logic | 161 |
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actual application argue argument Aristotelian Aristotle Aristotle’s arithmetic axioms Beall and Restall Bolzano claim classical logic cognitive command conventional conventionality definition discourse discussion entities epistemic example excluded middle external fact Feferman first-order first-order logic folk-relativism formulas Gentzen genuinely possible configurations given glutty Graham Priest human Husserl idea independent inference intuition intuitionistic logic Kilwardby Kripke language law of excluded logical consequence logical principles logical realism logical truth logicians mathematical proof mathematics matter meaning modus ponens natural numbers nominalists notion objective concepts objects of logic one’s ontological paraconsistent paraconsistent logics possible worlds practice precisely predicate problem proof properties propositions quantifiers question realist reality reason relations relativism relevance logic relevant rudimentary logic rules Second Philosopher Second Philosopher’s second-order second-order logic semantic sense sentences smooth infinitesimal analysis sort statement T-schema theorem things thought true validity variables Wittgenstein