Aristotle's Syllogism and the Creation of Modern Logic

Lukas M. Verburgt is Gerda Henkel Stiftung Research Scholar and affiliated to the Netherlands Institute for Advanced Study in the Humanities and Social Sciences (NIAS), the Netherlands.Matteo Cosci is Research Fellow at the Department of Philosophy and Cultural Heritage of Ca' Foscari University Venice, Italy.

• Introduction, Lukas M. Verburgt (NIAS/Leiden University, Netherlands) & Matteo Cosci (Università Ca’ Foscari, Italy)1. Richard Whately’s Revitalization of Syllogistic Logic, Calvin Jongsma (Dordt University, USA) 2. Mill and the British Tradition of Inductive Logic: The Role of Syllogism, Lukas M. Verburgt (NIAS/Leiden University, Netherlands)3. The Aristotelian Roots of Bolzano’s Logic, Mark Siebel (Carl von Ossietzky-Universität Oldenburg, Germany) 4. George Boole and the “Pure Analysis” of the Syllogism, David E. Dunning (Oxford University, UK) 5. Logic of Relations by De Morgan Peirce: A Case Study for the Refinement of Syllogism, Sun-Joo Shin (Yale University, USA) 6. Ernst Schröder’s Algebra of Logic and the “Logic of the Ancient”, Volker Peckhaus (Universität Paderborn, Germany)7. Brentano and Hillebrand on Syllogism: Development and Reception of the “Idiogenetic” Theory, Matteo Cosci (Università Ca’ Foscari, Italy) 8. Hugh MacColl: Never Twist the Syllogism Again, J.M.C. Chevalier (Université Paris XII-Val de Marne, France)9. Frege’s Relation to Aristotle and the Emergence of Modern Logic, Erich H. Reck (University of California, Riverside, USA)10. Christine Ladd-Franklin’s Antilogism, Francine F. Abeles (Kean University, USA)11. Syllogism and Beyond in the Peano School, Paola Cantù (Aix-Marseille Université, France) 12. Hilbert’s Use of the Syllogism, William Ewald (University of Pennsylvania, USA)13. The Role of Syllogistic Logic in Early Set Theory, José Ferreirós (La Universidad de Sevilla, Spain)14. The Fate of the Syllogism in the Göttingen School, 1910-1940, Curtis Franks (University of Notre Dame, USA)Index

This volume brings to light the continuing importance of the syllogism in the development of logic in the nineteenth century. It gives much deserved attention to many neglected figures as well as deepens our understanding of Frege and much of the logical research that followed him into the twentieth century.