Robert Kilwardby’s Science of Logic

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.

• AcknowledgementsList of Figures and TablesAbbreviationsIntroduction1Logic as Science and Art1 The Evolution of Logic2 The Art of Logic3 Branches of the Science of Logic4 The Science of Logic as Sermocinal5The Science of Logic Distinguished from Other Content in the Organon6 Kilwardby’s Writings on Logic7 Aspects of Kilwardby’s Thought8 Formalisation2 The Logic of Terms: Categories and Complex Terms1 The Categories2 Complex Terms3 Formal Language4 Models5 Theorems3The Logic of Terms: Relations between Terms1 The Predicables2 Genus and Species3 Differentia4 Proprium5 Accident6 Formal Analysis7 Formal Language8 Models9 Truth in a Model10 Postulates11 Theorems4 The Logic of Statements: Assertoric Statements1 Propositions and Statements2 Assertoric Statements3 Truth4 Ut nunc assertorics5 Simpliciter Assertorics6 Natural simpliciter Assertorics7 Opposition and Equipollence8 Conversion9 Non-Aristotelian Consequences among Assertorics10 Formal Analysis11 Theorems5 The Logic of Statements: Necessity and Possibility Statements1 Modal Statements2 Necessity Statements3 Possibility Statements4 Formal Analysis5 Formal Language6 Models7 Theorems6 The Logic of Statements: Contingency Statements1 Unampliated Contingencies2 Kilwardby’s Examples3 Ampliated Contingencies4 Kilwardby’s Rules for the Truth of Ampliated Contingency Statements5 Kilwardby’s Examples6 Formal Analysis7 Theorems7 The Logic of Inferences: Consequences1 Consequences According to the Relations between Terms2 Formal Consequences3Pure Rules of Consequence4Rules of Consequence and Conversion5Rules of Consequence and Opposition6Rules of Consequence, Opposition and Repugnance7Rules of Consequence and Possibility8Rules of Consequence and Assertion9Rules of Consequence and Denial10Essential Consequences11Essential Consequence and Essential Inseparability12Syllogistic Consequences13Formal Analysis14Truth Conditions15Postulates16Theorems8The Logic of Inferences: Assertoric Syllogisms1Syllogistic Figures and Moods2Reduction3Perfection4Being Said of All5Families of Syllogism6Principles, Validity, Perfectibility7Mixed ut nunc / simpliciter Inferences8Summary9Formal Analysis10Generative Rules11Theorems9The Logic of Inferences: Necessity Syllogisms1Family 3. The LLL Family2Principles for LL Premises3Being Said of All4Reduction5Summary6Family 4. The LXlL Family7Principles for L / Xl Premises8Being Said of All9Inferences Related to the Perfect Syllogisms10Reduction11Summary12Formal Analysis13Theorems10The Logic of Inferences: Contingency Syllogisms1Unrestricted Syllogistic Conversion in Family 32Unrestricted Syllogistic Conversion in Family 43Family 5. The Q’ Q’ Q’ Family4Family 6. The QXlQ Family5Family 7. The QLQ Family6Formal Analysis11The Logic of Inferences: Non-perfectible Inferences1xq Premises2Realised Modals3Formal Analysis4EnvoiReferencesModern Author IndexSubject IndexAncient an Medieval Author Index

"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 volumealready 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).