THE LOGIC OF THE CATUSKOTI

@inproceedings{Priest2010THELO,
  title={THE LOGIC OF THE CATUSKOTI},
  author={Graham Priest},
  year={2010}
}
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). Classical logicians have had a hard time making sense of this, but it makes perfectly good sense in the semantics of various paraconsistent logics, such as First Degree Entailment. Matters are more complicated for later Buddhist thinkers, such as Nagarjuna, who appear to suggest that none of these… 
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References

SHOWING 1-10 OF 19 REFERENCES
Nagarjuna and the Limits of Thought
Nagarjuna seems willing to embrace contradictions while at the same time making use of classic reductio arguments. He asserts that he rejects all philosophical views including his own-that he asserts
Paraconsistent logics
TLDR
This chapter discusses the need to derive reasonable inferences without deriving the trivial inferences that follow the ex falso quodlibet proof rule that holds in classical logic.
Doubt truth to be a liar
I. TRUTH 1. Aristotle on the Law of Non-Contradiction 2. Theories of Truth 3. Trivialism II. NEGATION 4. Contradiction 5. Boolean Negation 6. Denial and Rejection III. RATIONALITY 7. Rational Belief
Nāgārjuna's appeal
Deux caracteristiques de la philosophie de Nāgārjuna ont retenu l'attention de l'A. Ses ecrits philosophiques ont fascine un grand nombre de savants ce qui demande des explications. Dans un second
A Source Book in Indian Philosophy
Here are the chief riches of more than 3,000 years of Indian philosophical thought-the ancient Vedas, the Upanisads, the epics, the treatises of the heterodox and orthodox systems, the commentaries
What is so bad about contradictions
Soulevant la question de savoir ce qui pose probleme dans le fait de croire en des contradictions, telles que l'argument du menteur est vrai et l'argument du menteur est faux, l'A. analyse les
Paraconsistent Logic”, pp
  • Handbook of Philosophical Logic (second edition),
  • 2002
Is Buddhist Logic Non-classical or Deviant?”, ch. 9 of Scripture, Logic, Language: Essays on Dharmak ı̄rti and his Tibetan Successors (Boston, MA: Wisdom Publications)
  • 1999
Mountains Are Just Mountains
The (Two) Truths about Truth
...
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