Three Logicians [Book Review]

Review of Metaphysics 36 (4):926-929 (1983)
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Abstract

The author distinguishes a "term logic," where terms are the fundamental units, and a "sentential logic," where sentences are the fundamental units. Although this technical distinction is presented by Englebretsen as a war-like opposition throughout the entire history of logic, he reassures us that "no blood has been spilled". In recent times, the term-logic party has been eclipsed by the sentential-logic band; term logic is nowadays "almost mute". Only F. Sommers appears to proclaim the truth of term logic in the twentieth century. The author's main goal is to "recount the history" of term logic through an examination of its three champions: Aristotle, Leibniz, and Sommers. The chronological sequence of these three logicians is a sequence towards perfection as well. The shortcomings of Aristotle's achievement are partially corrected by Leibniz and then fully repaired by Sommers, who finally extends the Aristotelian syllogistic into a "universal logic". Englebretsen himself has added "certain emendations and extensions in a modest way".

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Ignacio Angelelli
University of Texas at Austin

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