Recapture, Transparency, Negation and a Logic for the Catuṣkoṭi

@article{Kreutz2019RecaptureTN,
  title={Recapture, Transparency, Negation and a Logic for the Catuṣkoṭi},
  author={Adrian Kreutz},
  journal={Comparative Philosophy: An International Journal of Constructive Engagement of Distinct Approaches toward World Philosophy},
  year={2019}
}
  • Adrian Kreutz
  • Published 25 January 2019
  • Philosophy
  • Comparative Philosophy: An International Journal of Constructive Engagement of Distinct Approaches toward World 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 Mūlamadhyamaka-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… 
2 Citations

Tables from this paper

CONTRADICTION AND RECURSION IN BUDDHIST PHILOSOPHY: FROM CATUṢKOṬI TO KŌAN
Prima facie, MMK (18:8) on the left, and Wúmén Guān (18) (Ch. 無門關) on the right don’t have a lot in common—but they do.1 Both are, and this is the main hypothesis of this essay, a schema for upāya
A Russellian Analysis of Buddhist Catuskoti
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

References

SHOWING 1-10 OF 19 REFERENCES
Nagarjuna's logic
TLDR
It is argued that validity in the given logic is too weak to represent the arguments made by Nāgārjuna in MMK, and a series of lattices – orderings on truth-values cannot ground the logic at play in Mūlamadhyamakākarikā (MMK).
THE LOGIC OF THE CATUSKOTI
In early Buddhist logic, it was standard to assume that for any state of affairs there were four possibilities: that it held, that it did not, both, or neither. This is the catuskoti (or tetralemma).
The Fifth Corner of Four
The book charts the development of Buddhist metaphysics, drawing on texts which include those of Nagarjuna and Dogen. The development is viewed through the lens of the Catuṣkoṭi At its simplest, and
The Way of the Dialetheist: Contradictions in Buddhism
Anyone who is accustomed to the view that contradictions cannot be true and can not be accepted, and who reads texts in the Buddhist traditions, will be struck by the fact that these texts frequently
Shrieking in the face of vengeance
Paraconsistent dialetheism is the view that some contradictions are true and that the inference rule ex falso quod libet (a.k.a. explosion) is invalid. A long-standing problem for paraconsistent
LP+, K3+, FDE+, AND THEIR ‘CLASSICAL COLLAPSE’
  • J. Beall
  • Philosophy
    The Review of Symbolic Logic
  • 2013
TLDR
The aim in this paper is to explicitly record the first-order result(s), including the collapse results for K3+ and FDE+.
Reaching Transparent Truth
This paper presents and defends a way to add a transparent truth predicate to classical logic, such that ThAi and A are everywhere intersubstitutable, where all T-biconditionals hold, and where truth
The Madhyamaka Concept of Svabhāva: Ontological and Cognitive Aspects
This paper considers the philosophical interpretation of the concept of svabhāva, sometimes translated as ‘inherent existence’ or ‘own-being’, in the Madyamaka school of Buddhist philosophy. It is
Nāgārjuna's Middle way : Mūlamadhyamakakārikā
Nāgārjuna’s Mūlamadhyamakakārikā is the definitive presentation of the Bud-dhist doctrine of emptiness and a foundational text of Mahāyāna Buddhism,which has so profoundly shaped the cultures of
Entailment : the logic of relevance and necessity
The Description for this book, Entailment: The Logic of Relevance and Necessity. Vol. I, will be forthcoming.
...
1
2
...