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The logic of where and while in the 13th and 14th centuries.

Uckelman, Sara L. (2016) 'The logic of where and while in the 13th and 14th centuries.', in Advances in modal logic. London: College Publications, pp. 535-550. Advances in modal logic. (11).

Abstract

Medieval analyses of molecular propositions include many non-truthfunctional connectives in addition to the standard modern binary connectives (conjunction, disjunction, and conditional). Two types of non-truthfunctional molecular propositions considered by a number of 13th- and 14th-century authors are temporal and local propositions, which combine atomic propositions with ‘while’ and ‘where’. Despite modern interest in the historical roots of temporal and tense logic, medieval analyses of ‘while’ propositions are rarely discussed in modern literature, and analyses of ‘where’ propositions are almost completely overlooked. In this paper we introduce 13th- and 14th-century views on temporal and local propositions, and connect the medieval theories with modern temporal and spatial counterparts.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://www.collegepublications.co.uk/aiml/?00008
Date accepted:03 June 2016
Date deposited:10 June 2016
Date of first online publication:30 June 2016
Date first made open access:No date available

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