Aristotle’s Syllogism and the Creation of Modern Logic: Between Tradition and Innovation, 1820s–1930s

Cover\nContents\nList of figures and tables\nList of contributors\nAcknowledgements\nIntroduction: History of modern logic in a new key Lukas M. Verburgt and Matteo Cosci\n1 Richard Whately’s revitalization of syllogistic logic Calvin Jongsma\n2 Mill and the British tradition of inductive logic: The role of syllogism Lukas M. Verburgt\n3 The Aristotelian roots of Bolzano’s logic Mark Siebel\n4 George Boole and the ‘pure analysis’ of the syllogism David E. Dunning\n5 Logic of relations by De Morgan and Peirce: A case study for the refinement of syllogism Sun-Joo Shin\n6 Ernst Schröder’s algebra of logic and the ‘logic of the ancient’ Volker Peckhaus\n7 Brentano and Hillebrand on syllogism: Development and reception of the ‘idiogenetic’ theory Matteo Cosci\n8 Hugh MacColl: Never twist the syllogism again Jean-Marie C. Chevalier\n9 Frege’s relation to Aristotle and the emergence of modern logic Erich H. Reck\n10 Christine Ladd-Franklin’s antilogism Francine F. Abeles\n11 Syllogism and beyond in the Peano School Paola Cantù\n12 Hilbert’s use of the syllogism William Ewald\n13 The role of syllogistic logic in early set theory José Ferreirós\n14 The fate of the syllogism in the Göttingen school Curtis Franks\nIndex