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Articles 1 - 20 of 20
Full-Text Articles in Logic and Foundations of Mathematics
Ineffability, Emptiness And The Aesthetics Of Logic, Andreas Kapsner
Ineffability, Emptiness And The Aesthetics Of Logic, Andreas Kapsner
Comparative Philosophy
In this essay, I explore the nature of the logical analysis of Buddhist thought that Graham Priest has offered in his book The Fifth Corner of Four (5of4). The paper traces the development of a logical value in- troduced in 5of4, which Priest has called e. The paper points out that certain criticisms I have made earlier still stand, but focuses on a recon- ceptualization of 5of4 in which these arguments carry less weight. This new perspective on the book, inspired by a response to my arguments by Priest himself, sees the logical analysis of Buddhism …
Don’T Be So Fast With The Knife: A Reply To Kapsner, Graham Priest
Don’T Be So Fast With The Knife: A Reply To Kapsner, Graham Priest
Comparative Philosophy
The is a brief reply to the central objection against the construction of my The Fifth Corner of Four by Andi Kapsner in his “Cutting Corners: A Critical Note on Priest’s Five-Valued Catuṣkoṭi. This concerns the desirability of adding a fifth corner (ineffability) to the four of the catuṣkoṭi.
A Russellian Analysis Of Buddhist Catuskoti, Nicholaos Jones
A Russellian Analysis Of Buddhist Catuskoti, Nicholaos Jones
Comparative Philosophy
Names name, but there are no individuals who are named by names. This is the key to an elegant and ideologically parsimonious strategy for analyzing the Buddhist catuṣkoṭi. The strategy is ideologically parsimonious, because it appeals to no analytic resources beyond those of standard predicate logic. The strategy is elegant, because it is, in effect, an application of Bertrand Russell's theory of definite descriptions to Buddhist contexts. The strategy imposes some minor adjustments upon Russell's theory. Attention to familiar catuṣkoṭi from Vacchagotta and Nagarjuna as well as more obscure catuṣkoṭi from Khema, Zhi Yi, and Fa Zang motivates the …
Are Logic And Math Relevant To Social Debates?, Michael A. Lewis
Are Logic And Math Relevant To Social Debates?, Michael A. Lewis
Journal of Humanistic Mathematics
Social debates, as well as discussions about certain highly charged issues, such as racism, gender identity, and sexuality, usually turn on the uses or mentions of key words. That is, the conclusions we can draw from such discussions depend on how certain terms are used or mentioned in them. Yet participants in social debates may often fail to precisely define their terms or fail to make important distinctions in terms uttered by others. Both logic and mathematics pay attention to the importance of precise definitions when it comes to engaging in discussions, arguments, or proofs. Logic also makes an important …
Recapture, Transparency, Negation And A Logic For The Catuṣkoṭi, Adrian Kreutz
Recapture, Transparency, Negation And A Logic For The Catuṣkoṭi, Adrian Kreutz
Comparative Philosophy
The recent literature on Nāgārjuna’s catuṣkoṭi centres around Jay Garfield’s (2009) and Graham Priest’s (2010) interpretation. It is an open discussion to what extent their interpretation is an adequate model of the logic for the catuskoti, and the Mūla-madhyamaka-kārikā. Priest and Garfield try to make sense of the contradictions within the catuskoti by appeal to a series of lattices – orderings of truth-values, supposed to model the path to enlightenment. They use Anderson & Belnaps's (1975) framework of First Degree Entailment. Cotnoir (2015) has argued that the lattices of Priest and Garfield …
In Memoriam: Richard Lane Tieszen (1951-2017)
In Memoriam: Richard Lane Tieszen (1951-2017)
Comparative Philosophy
No abstract provided.
Vol 8 No 2 Editor's Words, Bo Mou
Editor's Words, Bo Mou