RiccaRdo StRobino Truth and Paradox in Late XIVth Century Logic : Peter of Mantua’s Treatise on Insoluble Propositions*

ثبت نشده
چکیده

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 �yclif. 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. rIccardo stroBIno, Ruhr-Universität, bochum clare Hall college, cambridge [email protected]

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Paradoxes of free will and the limits of human reason.

MMANUEL KANT, the eighteenth-century German philosopher, and Niels Bohr, the twentieth-century Danish physicist, both noted that driving human reason too far in the analysis of deep problems often leads to irresolvable contradictions. Kant (1934) epitomized his insight into this fundamental limitation of human reason with his aphorism “Out of timber so crooked as that from which man is made not...

متن کامل

Minimal Polynomial Logic: Properties and Extensions

Minimal Polynomial Logic (MPL) is a generalisation of classical propositional logic which allows truth values in the continuous interval 0; 1] and in which propositions are represented by multi-variate polynomials. In previous work 7] we have introduced some properties of MPL and shown that it has two possible semantics: a) it can be considered as a logic for expressing, handling and computing ...

متن کامل

THE UNIVERSITY OF BIRMINGHAM Minimal Polynomial Logic: Properties and Extensions

Minimal Polynomial Logic (MPL) is a generalisation of classical propositional logic which allows truth values in the continuous interval 0; 1] and in which propositions are represented by multi-variate polynomials. In previous work 7] we have introduced some properties of MPL and shown that it has two possible semantics: a) it can be considered as a logic for expressing, handling and computing ...

متن کامل

Qoto-al-Qolob Abutaleb-e-Makki: The Confluence of Two Scholarly and Insightful Discourse

Qotol-al-Qolob is an organismic and rich text that has been very effective in stabilizing the Sufist discourse. This is because of the flow of Sufism articulated in the late second century in the context of religion and passed through contradictory discourses such as jurisprudence, theology, and philosophy and then emerged in a period that radical rationalism, jurisprudential controversy, philo...

متن کامل

On some many-valued abstract logics and their Epsilon-T-style extensions

Logical systems with classical negation and means for sentential or propositional self-reference involve, in some way, paradoxical statements such as the liar. However, the paradox disappears if one replaces classical by an appropriate non-classical negation such as a paraconsistent one (no paradox arises if the liar is both true and false). We consider a non-Fregean logic which is a revised an...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012