David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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History and Philosophy of Logic 31 (4):297-314 (2011)
According to the received view (Boche?ski, Kneale), from the end of the fourteenth to the second half of nineteenth century, logic enters a period of decadence. If one looks at this period, the richness of the topics and the complexity of the discussions that characterized medieval logic seem to belong to a completely different world: a simplified theory of the syllogism is the only surviving relic of a glorious past. Even though this negative appraisal is grounded on good reasons, it overlooks, however, a remarkable innovation that imposes itself at the beginning of the sixteenth century: the attempt to connect the two previously separated disciplines of logic and mathematics. This happens along two opposite directions: the one aiming to base mathematical proofs on traditional (Aristotelian) logic; the other attempting to reduce logic to a mathematical (algebraical) calculus. This second trend was reinforced by the claim, mainly propagated by Hobbes, that the activity of thinking was the same as that of performing an arithmetical calculus. Thus, in the period of what Boche?ski characterizes as ?classical logic?, one may find the seeds of a process which was completed by Boole and Frege and opened the door to the contemporary, mathematical form of logic
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References found in this work BETA
Gottfried Wilhelm Leibniz (1996). New Essays on Human Understanding. Cambridge University Press.
W. C. Kneale (1962/1984). The Development of Logic. Oxford University Press.
Jonathan Barnes (2007/2009). Truth, Etc.: Six Lectures on Ancient Logic. Oxford University Press.
Clarence Irving Lewis (1960). A Survey of Symbolic Logic. New York, Dover Publications.
Citations of this work BETA
Sorin Costreie (2013). Frege’s Puzzle and Arithmetical Formalism. Putting Things in Context. History and Philosophy of Logic 34 (3):207-224.
Maarten Bullynck (2013). Erhard Weigel's Contributions to the Formation of Symbolic Logic. History and Philosophy of Logic 34 (1):25-34.
S. Bozzi (2013). Logica Dimostrativa. History and Philosophy of Logic 34 (2):183 - 187.
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