Navya-Nyāya
The Navya-Nyāya or Neo-Logical darśana of Indian logic and Indian philosophy was founded in the 13th century CE by the philosopher Gangeśa Upādhyāya of Mithila and continued by Raghunatha Śiromaṇi of Nabadwipa in Bengal. It was a development of the classical Nyāya darśana. Other influences on Navya-Nyāya were the work of earlier philosophers Vācaspati Miśra and Udayana. It remained active in India through to the 18th century.
Gangeśa's book Tattvacintāmaṇi was written partly in response to Śrīharśa's Khandanakhandakhādya, a defence of Advaita Vedānta, which had offered a set of thorough criticisms of Nyāya theories of thought and language. In his book, Gangeśa both addressed some of those criticisms and - more important - critically examined the Nyāya darśana itself. He held that, while Śrīharśa had failed to successfully challenge the Nyāya realist ontology, his and Gangeśa's own criticisms brought out a need to improve and refine the logical and linguistic tools of Nyāya thought, to make them more rigorous and precise.
Tattvacintāmani dealt with all the important aspects of Indian philosophy, logic and especially epistemology, which Gangeśa examined rigorously, developing and improving the Nyāya scheme, and offering examples. The results, especially his analysis of cognition, were taken up and used by other darśanas.
Navya-Nyāya developed a sophisticated language and conceptual scheme that allowed it to raise, analyze, and solve problems in logic and epistemology. It involves naming each object to be analyzed, identifying a distinguishing characteristic for the named object, and verifying the appropriateness of the defining characteristic using pramanas. It systematized all the Nyāya concepts into four main categories which are perception, inference, comparison or similarity, and testimony. Great stalwarts like Basudev Sarvabhauma, Raghunath Shiromani, Jagadish Tarkalankar, Gadadhar Bhattacharya and Mathuranatha Tarkavagisha have contributed further in the development of the subject. Prof John Vattanky has contributed significantly to the modern understanding of Navya-Nyāya.