Indian logic
The Rigveda contains the Nasadiya Sukta, a hymn from 10.129 that speculates on existence using logical divisions later formalized as four circles of catuskoti. Medhatithi Gautama founded the anviksiki school of logic around the 6th century BCE. The Mahabharata references both anviksiki and tarka schools between the 4th century BCE and 4th century CE. Pānini developed Sanskrit grammar rules in the 5th century BCE that included forms of logic similar to Boolean systems. Chanakya described logic as an independent field of inquiry called anviksiki in his Arthashastra text written between 350 and 283 BCE.
Kanada proposed atomism in the Vaisheshika school around the 2nd century BCE, suggesting all physical objects reduce to finite atoms. Gotama wrote the Nyaya Sutras in the 2nd century CE, establishing methodology adopted by most other Indian schools. Jain philosophers contributed unique epistemological doctrines including Anekantavada, Syadvada, and Nayavada from the 6th century BCE through the 17th century CE. Kundakunda authored Pañcāstikāyasāra in the 2nd century CE while Umāsvāti wrote Tattvārthasūtra also during the 2nd century CE. Siddhasena Divākara produced Nyāyāvatāra in the 5th century CE and Akalanka became known as Master of Jain logic in the 8th century CE.
Indian Buddhist logic flourished from about 500 CE up to 1300 CE with three main authors Vasubandhu, Dignaga, and Dharmakirti. Dignaga created the doctrine of Trairūpya and the Hetucakra Wheel of Reasons scheme between 480 and 540 CE. Dharmakirti lived from 600 to 660 CE contributing significantly to theoretical achievements in inference. Nagarjuna refined Catuskoti form of logic in the 2nd century CE using tetralemma arguments comparable but not equatable to Greek four corner arguments. A vibrant living tradition of Buddhist logic continues today within Tibetan monastic education systems where logic remains essential for training monks.
Gangesha Upadhyaya founded Navya-Nyaya school in Mithila during the 13th century CE developing classical Nyaya darshana further. His book Tattvacintāmaņi addressed criticisms from Śrīharśa's Khandanakhandakhādya while examining Nyaya thought more rigorously himself. Udayana developed theories on restrictive conditions for universals and infinite regress that anticipated modern set theory concepts. Vācaspati Miśra worked between 900 and 980 CE influencing later developments alongside Udayana who lived in the late 10th century. The systematized language raised problems in epistemology and logic resembling Gottlob Frege's distinction between sense and reference of proper names.
Henry T. Colebrooke published The Philosophy of the Hindus: On the Nyaya and Vaisesika Systems in 1824 analyzing inference compared to Aristotelian logic. Max Mueller contributed an appendix to Thomson's Outline of the Laws of Thought edition from 1853 placing Greek and Indian logic on equal historical planes. George Boole lived from 1815 to 1864 making pioneering algebraic applications to logic formulation possibly influenced by awareness of xeno-logic studies. Augustus De Morgan wrote in 1860 about Sanskrit and Greek languages independently forming systems of mathematics and logic. Mary Everest Boole confirmed influence through her open letter to Dr Bose titled Indian Thought and Western Science in the Nineteenth Century written in 1901.
Jonardon Ganeri observed that 19th-century logicians like Charles Babbage, Augustus De Morgan, and George Boole likely drew inspiration from Indian logical traditions. Hermann Weyl noted Occidental mathematics broke away from Greek views following courses originating in India transmitted via Arabs. Contemporary analytic philosophy continues engaging with concepts developed by Navya-Nyaya schools regarding restrictive conditions for universals. Living traditions persist within Tibetan Buddhism where monks study logic as fundamental component of education programs today. Modern scholars recognize Indian logic as one of three original traditions alongside Greek and Chinese systems developing continuously into modern times.
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Common questions
When did Medhatithi Gautama found the anviksiki school of logic?
Medhatithi Gautama founded the anviksiki school of logic around the 6th century BCE. This school became a central pillar for early Indian logical inquiry and influenced subsequent philosophical developments.
What dates define the period when Jain philosophers contributed epistemological doctrines like Anekantavada?
Jain philosophers contributed unique epistemological doctrines including Anekantavada, Syadvada, and Nayavada from the 6th century BCE through the 17th century CE. Key figures such as Kundakunda and Umāsvāti authored foundational texts during the 2nd century CE to establish these views.
Who created the doctrine of Trairūpya and the Hetucakra Wheel of Reasons scheme in Buddhist logic?
Dignaga created the doctrine of Trairūpya and the Hetucakra Wheel of Reasons scheme between 480 and 540 CE. Dharmakirti lived from 600 to 660 CE and contributed significantly to theoretical achievements in inference within this tradition.
When did Gangesha Upadhyaya found the Navya-Nyaya school in Mithila?
Gangesha Upadhyaya founded the Navya-Nyaya school in Mithila during the 13th century CE. His book Tattvacintāmaņi addressed criticisms from Śrīharśa's Khandanakhandakhādya while examining Nyaya thought more rigorously himself.
What year did Henry T. Colebrooke publish The Philosophy of the Hindus: On the Nyaya and Vaisesika Systems?
Henry T. Colebrooke published The Philosophy of the Hindus: On the Nyaya and Vaisesika Systems in 1824 analyzing inference compared to Aristotelian logic. This work marked a significant moment in Western engagement with Indian logical traditions.