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Robert Kilwardby’s Science of Logic: A Thirteenth-Century Intensional Logic de Paul Thom

Robert Kilwardby’s Science of Logic: A Thirteenth-Century Intensional Logic: Investigating Medieval Philosophy, cartea 14

Autor Paul Thom
en Limba Engleză Hardback – 18 sep 2019
Paul Thom’s book presents Kilwardby’s science of logic as a body of demonstrative knowledge about inferences and their validity, about the semantics of non-modal and modal propositions, and about the logic of genus and species. This science is thoroughly intensional. It grounds the logic of inference on that in virtue of which the inference holds. It bases the truth conditions of propositions on relations between conceptual entities. It explains the logic of genus and species through the notion of essence.
Thom interprets this science as a formal logic of intensions with its own proof theory and semantics. This comprehensive reconstruction of Kilwardby’s logic shows the medieval master to be one of the most interesting logicians of the thirteenth century.
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Specificații

ISBN-13: 9789004408463
ISBN-10: 9004408460
Pagini: 310
Dimensiuni: 155 x 235 mm
Greutate: 0.61 kg
Editura: Brill
Colecția Brill
Seria Investigating Medieval Philosophy

Cuprins


Acknowledgements
List of Figures and Tables
Abbreviations
Introduction
1Logic as Science and Art
1 The Evolution of Logic
2 The Art of Logic
3 Branches of the Science of Logic
4 The Science of Logic as Sermocinal
5The Science of Logic Distinguished from Other Content in the Organon
6 Kilwardby’s Writings on Logic
7 Aspects of Kilwardby’s Thought
8 Formalisation
2 The Logic of Terms: Categories and Complex Terms
1 The Categories
2 Complex Terms
3 Formal Language
4 Models
5 Theorems
3The Logic of Terms: Relations between Terms
1 The Predicables
2 Genus and Species
3 Differentia
4 Proprium
5 Accident
6 Formal Analysis
7 Formal Language
8 Models
9 Truth in a Model
10 Postulates
11 Theorems
4 The Logic of Statements: Assertoric Statements
1 Propositions and Statements
2 Assertoric Statements
3 Truth
4 Ut nunc assertorics
5 Simpliciter Assertorics
6 Natural simpliciter Assertorics
7 Opposition and Equipollence
8 Conversion
9 Non-Aristotelian Consequences among Assertorics
10 Formal Analysis
11 Theorems
5 The Logic of Statements: Necessity and Possibility Statements
1 Modal Statements
2 Necessity Statements
3 Possibility Statements
4 Formal Analysis
5 Formal Language
6 Models
7 Theorems
6 The Logic of Statements: Contingency Statements
1 Unampliated Contingencies
2 Kilwardby’s Examples
3 Ampliated Contingencies
4 Kilwardby’s Rules for the Truth of Ampliated Contingency Statements
5 Kilwardby’s Examples
6 Formal Analysis
7 Theorems
7 The Logic of Inferences: Consequences
1 Consequences According to the Relations between Terms
2 Formal Consequences
3Pure Rules of Consequence
4Rules of Consequence and Conversion
5Rules of Consequence and Opposition
6Rules of Consequence, Opposition and Repugnance
7Rules of Consequence and Possibility
8Rules of Consequence and Assertion
9Rules of Consequence and Denial
10Essential Consequences
11Essential Consequence and Essential Inseparability
12Syllogistic Consequences
13Formal Analysis
14Truth Conditions
15Postulates
16Theorems
8The Logic of Inferences: Assertoric Syllogisms
1Syllogistic Figures and Moods
2Reduction
3Perfection
4Being Said of All
5Families of Syllogism
6Principles, Validity, Perfectibility
7Mixed ut nunc / simpliciter Inferences
8Summary
9Formal Analysis
10Generative Rules
11Theorems
9The Logic of Inferences: Necessity Syllogisms
1Family 3. The LLL Family
2Principles for LL Premises
3Being Said of All
4Reduction
5Summary
6Family 4. The LXlL Family
7Principles for L / Xl Premises
8Being Said of All
9Inferences Related to the Perfect Syllogisms
10Reduction
11Summary
12Formal Analysis
13Theorems
10The Logic of Inferences: Contingency Syllogisms
1Unrestricted Syllogistic Conversion in Family 3
2Unrestricted Syllogistic Conversion in Family 4
3Family 5. The Q’ Q’ Q’ Family
4Family 6. The QXlQ Family
5Family 7. The QLQ Family
6Formal Analysis
11The Logic of Inferences: Non-perfectible Inferences
1xq Premises
2Realised Modals
3Formal Analysis
4Envoi
References
Modern Author Index
Subject Index
Ancient an Medieval Author Index

Notă biografică

Paul Thom, B.Phil. (Oxford), is Honorary Professor of Philosophy at the University of Sydney and a Fellow of the Australian Academy of Humanities. He has authored numerous books on the history of logic.

Recenzii

"Robert Kilwardby (d. 1279) was almost always of interest to medieval philosophers. This interest, however, has seldom been replicated by modern editorial initiatives, leaving our appreciation of the Oxford master’s intellectual profile incomplete, and perhaps uneven. We are aware of the different contributions that Kilwardby made to metaphysics and to the natural philosophy of his time, and we know that he was a dedicated and influential logician. We may even claim that Kilwardby was a fortunate logician, for he was one of the first scholars in the Latin West to read and to comment on the newly discovered books of Aristotle’s logic. This feature is greatly stressed in Paul Thom’s second book devoted exclusively to Kilwardby’s "science of logic", as described in the title.[...] Thom’s volume already stands as a great and inspiring work for the almost timeless interpretative potential he fairly attributes to Robert Kilwardby’s logic." Edit Anna Lukacs, in Speculum 96/1 , (January 2021).