REFERENCES
Bhaduri, S.: 1947, Studies in Nyāya-Vaiśe \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) ika Metaphysics, Bhandarkar Oriental Research Institute, Poona.
Bhāsarvajña: 1968, Nyāyabhū \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) a \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) a. Edited by Svami Yogindrananda, Saddarsan Prakasan Pratisthanam, Varanasi.
Dvivedi, Sudhakara: 1933, Lives of Hindu Astronomers (Ga \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) aka-tarañgi \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)ī), Benares.
Faddegon, B.: 1918, The Vaiśe \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) ika System, Described with the Help of the Oldest Texts, Johannes Müller, Amsterdam.
Frege, G.: 1950, The Foundations of Arithmetic, translated by J. L. Austin. Blackwell, Oxford.
Gadādhara Bha\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t}\)ācārya: 1927, Śaktivāda, with K\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{r} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)a Bha\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t}\)a's Mañjū \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) a, Mādhava Bha\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t}\)cārya's Viv \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{r}\) tti and Sāhitya Darśanācārya's Vinodini. Edited by G. D. Sastri. Kashi Sanskrit Series no.57, Benares.
Ganeri, J.: 1996, ‘Numbers as Properties of Objects: Frege and the Nyāya’, Studies in Humanities and Social Sciences, Vol. 3: Epistemology, Logic and Ontology after Matilal, Indian Institute of Advanced Studies, Shimla 3.2: 111-121.
Ganeri, J.: 1999, Semantic Powers:Meaning and theMeans of Knowing in Classical Indian Philosophy, Clarendon Press, Oxford.
Ganeri, J.: 2001, Philosophy in Classical India, Routledge, London.
Gautama: 1985, Nyāyasūtra, with Vātsyāyana's Bhāsya, Uddyotakara's Vārttika, Vācaspati Mi´sra's Tātparya \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t}\) īkā and Vi´svanātha's V \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{r}\) tti. Edited by T. Nyāyatarkatīrtha and A. Tarkatīrtha. Calcutta: Calcutta Sanskrit Series nos. 18–19. Second Edition, Munshriram Manoharlal, Delhi.
Guha, D. C.: 1979, Navya-nyāya System of Logic, Second Edn,Motilal Banarsidass, Delhi.
Herzberger, H. and R. Herzberger, 1981, ‘Bhart\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{r}\)hari's Paradox’, Journal of Indian Philosophy 9, 3-32.
Ingalls, D. H. H.: 1951, Materials for the Study of Navya-Nyāya Logic, Harvard University Press, Cambridge, MA.
Ka\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)āda: 1961, Vaiśe \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) ikasūtra of Ka \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) āda, with the Commentary of Candrānanda, critically edited by Muni Sri Jambuvijaya, Oriental Institute, Gaekwad's Oriental Series 136, Baroda.
Ka\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)āda: 1911, The Vai´se \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\)ika Sūtras of Ka\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)āda, with the Commentary of ´ Sa\(\dot n\) kara Mi´sra, translated by Nandalal Sinha, The Panini Office, Bhuvaneswari Asrama, Allahabad, pp. 233-244.
Matilal, B. K.: 1975, ‘On the Navya-Nyāya Logic of Property and Location’, in Proceedings of the 1975 International Symposium of Multiple-valued Logic, Indiana University, Bloomington, pp. 450-461
Matilal, B. K.: 1985, ‘On the Theory of Number and Paryāpti in Navya-Nyāya’, Journal of the Asiatic Society of Bengal 27, 13-21.
Matilal, B. K.: 1986, Perception: An Essay on Classical Indian Theories of Knowledge, Clarendon Press, Oxford.
Matilal, B. K.: 1989, ‘Moral Dilemmas: Insights from Indian Epics’, in B. K. Matilal (ed.), Moral Dilemas in the Mahābhārata, Indian Institute of Advanced Study, Shimla, pp. 1-19.
Mohanty, J. N.: 1992, Reason and Tradition in Indian Thought. An Essay on the Nature of Indian Philosophical Thinking, Clarendon Press, Oxford.
Perrett, R.: 1985, ‘A Note on the Navya-Nyāya Account of Number’, Journal of Indian Philosophy 13, 227-234.
Potter, Karl: 1977, The Tradition of Nyāya-Vai´se \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\)ika up to Ga\(\dot n\) geśa, Encyclopedia of Indian Philosophies, Vol. II, Motilal Banarsidass, Delhi.
Potter, Karl and Sibajiban Bhattacharyya: 1993, Indian Philosophical Analysis: Nyāya-Vaiśe \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) ika from Ga \(\dot n\) geśa to Raghunātha Śiroma \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) i, Encyclopedia of Indian Philosophies, Vol. VI, Motilal Banarsidass, Delhi.
Raghunātha: 1957, The Padārthatattvanirūpa \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)am of Raghunātha Śiroma\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) i, edited and translated by Karl H. Potter, Harvard University Press, Harvard Yenching Institute Studies, Vol. 17, Cambridge, MA, pp. 86-87.
Raghunātha. Avacchedakatvanirukti with Jagadīśa's Jāgadī´śī, Dharmananda Mahabhaga (ed.), Kashi Sanskrit Series 203, Varanasi.
Raja, K. K.: 1963, Indian Theories of Meaning, The Adyar Library, Madras.
Ramaiah, C.: 1976–7, ‘Nyāya-Vai´se\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\)ika Theory of Numbers (Sānkhyā)’, Indian Philosophical Quarterly 4, 129-134.
Sainsbury, M.: 1979, Russell, Routledge & Kegan Paul, London.
Sainsbury, M.: 1991, Logical Forms, Blackwell, Oxford.
Sainsbury, M.: 1995, Paradoxes, Second Edition, Cambridge University Press, Cambridge.
Śa\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\)kara Miśra: 1923, Vaiśe \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) ikadarśana, with Praśastapāda's Padārthadarmasa \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{m}\) graha and Śa \(\dot n\) kara Miśra's Upaskāra, Dundhiraja Sastri (ed.), Chaukhamba Sanskrit Series Office, Kashi Sanskrit Series 3, Varanasi, pp. 173-180.
Sen, S. N.: 1995, ‘History of Science in Relation to Philosophy and Culture in Indian Civilization’, in D. P. Chattopadhyaya and R. Kumar (eds), Science, Philosophy and Culture in Historical Perspective, PHICPC Monograph 1, Munshiram Manoharlal, Delhi.
Shaw, J. L.: 1982, ‘Number: From the Nyāya to Frege-Russell’, Studia Logica 41, 283–291.
Shukla, K. S.: 1959, The Pā \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t}\) iga \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) ita of Śrīdharācārya with an Ancient Sanskrit Commentary, Kripa Shankar Shukia (ed.), Lucknow University Department of Mathematics and Astronomy, Lucknow.
Śrīdhara: 1977, Pra´sastapādabhā \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}\) ya with the Commentary Nyāyakandalī by Śrīdhara Bha \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{t}\) a, edited with Hindi translation, by Durgadhara Jha, Sampurnanand Sanskrit Vishvavidyalaya, Ganganatha Jha Granthamala, Varanasi, Vol. 1, pp. 267-214.
Śrīdhara: 1907–8, Padārthadharmasam \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{m}\) graha with Śrīdhara's Nvāyakandalī, translated by Ganganatha Jha, The Pandit, n.s. Vols. 29-30, pp. 241-284.
Srinivas, M. D.: 1992, ‘The Methodology of Indian Mathematics and its Contemporary Relevance’, in G. Kuppuram and K. Kumudamani (eds), History of Science and Technology in India, Vol. II, pp. 29-86.
Udayana: 1956, Kira \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{n}\) āvalī, with Vardhamāna's Prakā´sa and Vādīndra's Rasasāra, Narendra Chandra Vedantatirtha (ed.), The Asiatic Society, Bibliotheca Indica no. 200, fasc. 4, Calcutta, pp. 441-462.
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Ganeri, J. Objectivity And Proof In A Classical Indian Theory Of Number. Synthese 129, 413–437 (2001). https://doi.org/10.1023/A:1013144411940
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DOI: https://doi.org/10.1023/A:1013144411940