Truth and Paradox in Late XIVth Century Logic : Peter of Mantua’s Treatise on Insoluble Propositions
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Documenti E Studi Sulla Tradizione Filosofica Medievale 23:475-519 (2012)
This paper offers an analysis of a hitherto neglected text on insoluble propositions dating from the late XiVth century and puts it into perspective within the context of the contemporary debate concerning semantic paradoxes. The author of the text is the italian logician Peter of Mantua (d. 1399/1400). The treatise is relevant both from a theoretical and from a historical standpoint. By appealing to a distinction between two senses in which propositions are said to be true, it offers an unusual solution to the paradox, but in a traditional spirit that contrasts a number of trends prevailing in the XiVth century. It also counts as a remarkable piece of evidence for the reconstruction of the reception of English logic in italy, as it is inspired by the views of John Wyclif. Three approaches addressing the Liar paradox (Albert of Saxony, William Heytesbury and a version of strong restrictionism) are first criticised by Peter of Mantua, before he presents his own alternative solution. The latter seems to have a prima facie intuitive justification, but is in fact acceptable only on a very restricted understanding, since its generalisation is subject to the so-called revenge problem.
|Keywords||Medieval logic XIVth century logic Liar paradox Medieval theories of truth Peter of Mantua Albert of Saxony William Heytesbury John Wyclif Thomas Bradwardine Semantic paradoxes, insolubilia Self-reference|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Stephen Read (2006). Symmetry and Paradox. History and Philosophy of Logic 27 (4):307-318.
Riccardo Strobino (2011). Contexts of Utterance and Evaluation in Peter of Mantua's Obligationes. Vivarium 49 (1-3):275-299.
Stamatios Gerogiorgakis (2009). The Byzantine Liar. History and Philosophy of Logic 30 (4):313-330.
Stephen Read (2010). Field's Paradox and Its Medieval Solution. History and Philosophy of Logic 31 (2):161-176.
Shahid Rahman, Tero Tulenheimo & Emmanuel Genot (eds.) (2008). Unity, Truth and the Liar: The Modern Relevance of Medieval Solutions to the Liar Paradox. Springer.
Alexander Broadie (1993). Introduction to Medieval Logic. Oxford University Press.
Kevin Scharp (2010). Truth's Saviour? [REVIEW] Philosophical Quarterly 60 (238):183 - 188.
Keith Simmons (1993). Universality and the Liar: An Essay on Truth and the Diagonal Argument. Cambridge University Press.
William Heytesbury (1979). On "Insoluble" Sentences: Chapter One of His Rules for Solving Sophisms. Pontifical Institute of Mediaeval Studies.
Stephen Read (2011). Miller, Bradwardine and the Truth. Discusiones Filosóficas 12 (18):229-35.
Jon Barwise (1987). The Liar: An Essay on Truth and Circularity. Oxford University Press.
Jeff Snapper (2012). The Liar Paradox in New Clothes. Analysis 72 (2):319-322.
Matt Leonard (2012). Burge's Contextual Theory of Truth and the Super-Liar Paradox. In Michal Pelis Vit Puncochar (ed.), The Logica Yearbook 2011. College Publications.
Hartley Slater (2005). Choice and Logic. Journal of Philosophical Logic 34 (2):207 - 216.
Christopher Gauker (2006). Against Stepping Back: A Critique of Contextualist Approaches to the Semantic Paradoxes. Journal of Philosophical Logic 35 (4):393 - 422.
Added to index2012-10-21
Total downloads120 ( #7,676 of 1,099,003 )
Recent downloads (6 months)15 ( #10,834 of 1,099,003 )
How can I increase my downloads?