Tetralemma
Encyclopedia
The tetralemma is a figure that features prominently in the classical logic of the Greeks. It states that with reference to any a logical proposition X, there are four possibilities:
(affirmation)
(negation)
(both) equiv.
(neither)

Catuskoti: a cross-cultural correlate

A similar tradition of fourfold negation, the Catuskoti
Catuṣkoṭi
Catuṣkoṭi is a logical argument of a 'suite of four discrete functions' or 'an indivisible quaternity' that has multiple applications and has been important in the Dharmic traditions of Indian logic and the Buddhadharma logico-epistemological traditions, particularly those of the Madhyamaka...

 (Sanskrit), is evident in the logico-epistemological tradition of India, given the categorical nomenclature 'Indian logic
Indian logic
The development of Indian logic dates back to the anviksiki of Medhatithi Gautama the Sanskrit grammar rules of Pāṇini ; the Vaisheshika school's analysis of atomism ; the analysis of inference by Gotama , founder of the Nyaya school of Hindu philosophy; and the tetralemma of Nagarjuna...

' in Western discourse. Subsumed within the auspice of Indian logic, 'Buddhist logic
Buddhist logic
Buddhist Logic, the categorical nomenclature modern Western discourse has extended to Buddhadharma traditions of 'Hetuvidya' and 'Pramanavada' , which arose circa 500CE, is a particular development, application and lineage of continuity of 'Indian Logic', from which it seceded...

' has been particularly focused in its employment of the fourfold negation, as evidenced by the traditions of Nagarjuna
Nagarjuna
Nāgārjuna was an important Buddhist teacher and philosopher. Along with his disciple Āryadeva, he is credited with founding the Mādhyamaka school of Mahāyāna Buddhism...

 and the Madhyamaka
Madhyamaka
Madhyamaka refers primarily to a Mahāyāna Buddhist school of Buddhist philosophy systematized by Nāgārjuna. Nāgārjuna may have arrived at his positions from a desire to achieve a consistent exegesis of the Buddha's doctrine as recorded in the āgamas...

, particularly the school of Madhyamaka given the retroactive nomenclature of Prasangika by the Tibetan Buddhist logico-epistemological tradition.

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