Robert Kilwardby?s Science of Logic

A Thirteenth-Century Intensional Logic
 
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Product details:

ISBN13:9789004408463
ISBN10:90044084611
Binding:Hardback
No. of pages:310 pages
Size:235x155 mm
Weight:657 g
Language:English
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Short description:

Thom interprets Kilwardby?s science of logic as a 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.

Long description:
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.

"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).
Table of Contents:


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