The Logic of Essentialism: An Interpretation of Aristotle’s Modal Syllogistic (The New Synthese Historical Library, 43)

Aristotle's modal syllogistic has been an object of study ever since the time of Theophrastus; but these studies (apart from an intense flowering in the Middle Ages) have been somewhat desultory. Remarkably, in the 1990s several new lines of research have appeared, with series of original publications by Fred Johnson, Richard Patterson and Ulrich Nortmann. Johnson presented for the first time a formal semantics adequate to a de re reading of the apodeictic syllogistic; this was based on a simple intuition linking the modal syllogistic to Aristotelian metaphysics. Nortmann developed an ingenious de dicto analysis. Patterson articulated the links (both theoretical and genetic) between the modal syllogistic and the metaphysics, using an analysis which strictly speaking is neither de re nor de dicto. My own studies in this field date from 1976, when my colleague Peter Roeper and I jointly wrote a paper "Aristotle's apodeictic syllogisms" for the XXIInd History of Logic Conference in Krakow. This paper contained the disjunctive reading of particular affirmative apodeictic propositions, which I still favour. Nonetheless, I did not consider that paper's results decisive or comprehensive enough to publish, and my 1981 book The Syllogism contained no treatment of the modal syllogism. The paper's ideas lay dormant till 1989, when I read Johnson's and Patterson's initial articles. I began publishing on the topic in 1991. Gradually my thoughts acquired a certain comprehensiveness and systematicity, till in 1993 I was able to take a semester's sabbatical to write up a draft of this book. The Logic Of Essentialism Surveys The Major Interpretations, Ancient, Medieval And Modern, Of Aristotle's Modal Syllogistic. It Presents A Framework Within Which These Competing Interpretations Are Compared And Evaluated. A New Interpretation Is Developed, Which Agrees In Large Measure With Aristotle's Text, Including His Theses, Methods Of Proof, And Use Of Examples. This Interpretation Reads Aristotle's Modal Sentences De Re, And Attaches Considerable Importance To His Use Of Ecthesis And Counter-examples. It Features A Formal Semantic Analysis That Makes No Reference To Possible Worlds, And It Articulates The Links, Both Theoretical And Genetic, Between The Modal Syllogistic And Aristotle's Essentialist Metaphysics. Elementary Syntax -- Axioms -- Theses -- Rejections -- Flaws In The Fabric -- System Al -- Systems Aq And Aq' -- System Ax' -- Singular Modal Syllogistic -- Essentialism. By Paul Thom. Includes Bibliographical References And Indexes. Front Matter....Pages i-xii Introduction....Pages 1-6 Elementary Syntax....Pages 7-30 Axioms....Pages 31-46 Theses....Pages 47-85 Rejections....Pages 86-122 Flaws in the Fabric....Pages 123-138 System AL ....Pages 139-193 Systems AQ and AQ ’....Pages 194-250 System AX ’....Pages 251-266 Singular Modal Syllogistic....Pages 267-313 Essentialism....Pages 314-351 Back Matter....Pages 352-384 Tradition accords to Aristotle the title of first logician, and by so doing recognises his primacy in theorising the central logical notions of form, proof and model.