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The '''tetralemma''' is a figure that features prominently in the classical logic of India. It states that with reference to any a logical proposition X, there are four possibilities: | |||
: <math>X </math> (affirmation) | |||
: <math>\neg X</math> (negation) | |||
: <math>X \land \neg X</math> (both) equiv. | |||
: <math>\neg (X \lor \neg X)</math> (neither) | |||
==Catuskoti== | |||
The history of fourfold negation, the [[Catuskoti]] (Sanskrit), is evident in the logico-epistemological tradition of India, given the categorical nomenclature '[[Indian logic]]' in Western discourse. Subsumed within the auspice of Indian logic, '[[Buddhist logic]]' has been particularly focused in its employment of the fourfold negation, as evidenced by the traditions of [[Nagarjuna]] and the [[Madhyamaka]], particularly the school of Madhyamaka given the retroactive nomenclature of [[Prasangika]] by the Tibetan Buddhist logico-epistemological tradition. | |||
==See also== | |||
* [[Paraconsistent logic]] | |||
* [[Prasangika]] | |||
* [[Two-truths doctrine]] | |||
* [[Catuṣkoṭi]], a similar concept in Indian philosophy | |||
==External links== | |||
* [[wikt:tetralemma|Wiktionary definition of tetralemma]] | |||
* [http://twelvelinks.blogspot.com/2006/01/notes-on-tetralemma.html Twelve links blog ''Notes on the tetralemma''] | |||
{{Philosophy topics}} | |||
[[Category:History of logic]] | |||
[[Category:Logic]] | |||
[[Category:Lemmas]] | |||
Revision as of 17:42, 1 January 2014
The tetralemma is a figure that features prominently in the classical logic of India. It states that with reference to any a logical proposition X, there are four possibilities:
- (affirmation)
- (negation)
- (both) equiv.
- (neither)
Catuskoti
The history of fourfold negation, the Catuskoti (Sanskrit), is evident in the logico-epistemological tradition of India, given the categorical nomenclature 'Indian logic' in Western discourse. Subsumed within the auspice of Indian logic, 'Buddhist logic' has been particularly focused in its employment of the fourfold negation, as evidenced by the traditions of Nagarjuna and the Madhyamaka, particularly the school of Madhyamaka given the retroactive nomenclature of Prasangika by the Tibetan Buddhist logico-epistemological tradition.
See also
- Paraconsistent logic
- Prasangika
- Two-truths doctrine
- Catuṣkoṭi, a similar concept in Indian philosophy