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Journal of Indian Philosophy and Religion

Volume 21, December 2016

Collected Works of Kisor K. Chakrabarti, Part I

Kisor Kumar Chakrabarti
Pages 57-71

Some Comparisons between Frege's Logic and Navya-Nyaya Logic

This paper has three parts. The first part explains the similarities and differences between Frege’s distinction between sense and reference needed for the possibility of true and informative identity statements and the distinction between the reference and the limitor or specifier of reference of a linguistic expression in Navya Nyaya. The second part compares Frege’s definition of number to the Navya Nyaya definition of number. The third part shows how restrictive conditions for universals in Navya Nyaya anticipates some developments in modern set theory. Thus, the condition that two universals having neither more nor less members are the same is analogous to the thesis of extensionality. Again, the condition that no universal is admissible if there is a vicious infinite regress that rules out universal-ness as a universal would also rule out the so-called Russell set of all sets which are not members of themselves.