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- Catuṣkoṭi (3)
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Articles 1 - 23 of 23
Full-Text Articles in Logic and Foundations of Mathematics
Zero, Śūnya And Pūrṇa: A Comparative Analysis, Animisha Tewari
Zero, Śūnya And Pūrṇa: A Comparative Analysis, Animisha Tewari
Comparative Philosophy
Due to apparent duality in this world, one has to face a lot of difficulties while searching for the Truth. Our ego is the root cause for perception of duality and this in turn leads to suffering. This suffering can only be extinguished by attainment of the Truth, i.e, non-duality. However, in order to enable the finite intellect to comprehend the incomprehensible non-duality, this undifferentiated whole is sometimes denoted by nothingness (śūnya) or fullness (pūrṇa). Non-duality is usually understood by the numeral ‘1’ which stands for unity or oneness. The main aim of this paper is …
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.
Cutting Corners: A Critical Note On Priest’S Five-Valued Catuṣkoṭi, Andreas Kapsner
Cutting Corners: A Critical Note On Priest’S Five-Valued Catuṣkoṭi, Andreas Kapsner
Comparative Philosophy
Graham Priest has offered a rational reconstruction of Buddhist thought that involves, first, modeling the Catuṣkoṭi by a four valued logic, and then later adding a fifth value, read as “ineffability”. This note examines that fifth value and raises some concerns about it that seem grave enough to reject it. It then sketches an alternative to Priest’s account that has no need for the fifth value.
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 …
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 …
Dialetheism, Paradox, And Nāgārjuna’S Way Of Thinking, Richard H. Jones
Dialetheism, Paradox, And Nāgārjuna’S Way Of Thinking, Richard H. Jones
Comparative Philosophy
Nāgārjuna’s doctrine of emptiness, his ideas on “two truths” and language, and his general method of arguing are presented clearly by him and can be stated without paradox. That the dialetheists today can restate his beliefs in paradoxical ways does not mean that Nāgārjuna argued that way; in fact, their restatements misrepresent and undercut his arguments.
In Memoriam: Richard Lane Tieszen (1951-2017)
In Memoriam: Richard Lane Tieszen (1951-2017)
Comparative Philosophy
No abstract provided.
Moving, Moved And Will Be Moving: Zeno And Nāgārjuna On Motion From Mahāmudrā, Koan And Mathematical Physics Perspectives, Robert Alan Paul
Moving, Moved And Will Be Moving: Zeno And Nāgārjuna On Motion From Mahāmudrā, Koan And Mathematical Physics Perspectives, Robert Alan Paul
Comparative Philosophy
Zeno’s Arrow and Nāgārjuna’s Fundamental Wisdom of the Middle Way (Mūlamādhyamakakārikā, MMK) Chapter 2 (MMK/2) contain paradoxical, dialectic arguments thought to indicate that there is no valid explanation of motion, hence there is no physical or generic motion. There are, however, diverse interpretations of the latter text, and I argue they apply to Zeno’s Arrow as well. I also find that many of the interpretations are dependent on a mathematical analysis of material motion through space and time. However, with modern philosophy and physics we find that the link from no explanation to no phenomena is invalid and …
Vol 8 No 2 Editor's Words, Bo Mou
Editor's Words, Bo Mou