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Original Article
Exploring Mathematical Concepts in Ramcharit Manas: A Unique Perspective on Navadha Bhakti
Ram Bushan1
Pawan Kumar2
Shivesh Mani Tripathee3
1Department of Computer Science & Engineering, BabuBanarasi Das Institute of Technology & Management, Lucknow, India. 23Department of Applied Sciences and Humanities, IET, Dr Shakuntala Misra National Rehabilitation University, Lucknow, India.
Published Online: January-February 2025
Pages: 01-08
Cite this article
No DOIReferences
1. GoswamiTulasidas, Ramcharimanas, Aranyakand (Kand 3), Doha 34-35. (1574 CE), Sambvat 1631.
2. Chinmayananda, Swami. The Holy Geeta: Mumbai, 2002
3. Goyandka, Shri Harikrishnadas. Translation of Shankracharya's Commentary of theBhagavad Gita (Hindi): Gorakhpur, 2006.
4. Goyandka, Jayadayal. Navadha Bhakti: Gorakhpur, 2011.
5. Karanbelkar, Dr. P.V. Patanjala Yoga Sutras: Lonavla.
6. Khemka, Radheyshaym (ed). Bhaktamala: Gorakhpur, 2013.
7. Saraswati, Swami Akhandananda (tr). Shrimad BhagavataPurana (2 Volumes):Gorakhpur, 2004.
8. Swami Prabhupada, A.C. Bhaktivedanta. SrimadBhagavatam: Mumbai.
9. Autry, J. (2001). The servant leader. Roseville, California: Prima Publishing, 50-56, 178.
10. Bennis, W. and Goldsmith, J. (1997). Learning to lead. Reading, Massachusetts: Perseus Books, 24-25, 70-73.
11. Gardiner, J. (1998). Quiet presence: The holy ground of leadership. In L. Spears (Ed.). Insights on leadership: Service, stewardship,
spirit, and servant-leadership. New York: John Wiley & Sons, Inc., 116-125.
12. Glickman, C., Gordon, S., and Ross-Gordon, J. (2005). The basic guide to supervision and instructional leadership. Toronto: Pearson
Education Ltd., 156.
13. Greenleaf, R. (1970/1991). The servant as leader. Indianapolis: The Robert K. Greenleaf Center, 1-37
14. Greenleaf, R. (1976). The institution as servant. Indianapolis: The Robert K. Greenleaf Center, 1-16.
15. Greenleaf, R. (1977). Servant leadership: A journey into the nature of legitimate power and greatness. New York: Paulist Press, 5.
16. Greenleaf, R. (1986). On becoming a servant-leader. Indianapolis: Robert K. Greenleaf Center, 343, 347.
17. Greenleaf, R. (2002). Teacher as servant: A parable. Indianapolis: The Robert K. Greenleaf Center, 151.
18. John Gilbert, A Brief Note on Set Theory and its Applications, Research & Reviews: Journal of Statistics and Mathematical Sciences,
6-7, 2022.
19. MirnaDžamonja (2017), Journal of Indian council of philosophical research, vol. (34), 415-424, 2017.
20. Awodey, S. (2014). Structuralism, invariance, and univalence. Philosophia Mathematica, 22(1), 1–11.
21. Cohen, P. (1966). Set theory and the continuum hypothesis. New York: Benjamin.
22. Džamonja, M. (2013). Forcing axioms, finite conditions and some more. In: Logic and its applications, volume 7750 of Lecture Notes
in Computer Science (pp. 17–26). Heidelberg: Springer.
23. Feferman, S. (1977). Categorical foundations and foundations of category theory. In: Logic, foundations of mathematics and
computability theory. Proceedings of the Fifth International Congress Logic, Methodology and Philosopy of Science, University of
Western Ontario, London, Ontorio, 1975, Part I, University of Western Ontario Series Philosophical Science (Vol. 9, pp. 149–169).
Reidel, Dordrecht.
24. Fraenkel, A. A., Bar-Hillel, Y., &Lévy, A. (1973). Foundations of set theory (2nd ed.). Amsterdam, North-Holland: Elsevier.
25. Friedman, H. (2014). Boolean relation theory and incompleteness. https://u.osu.edu/friedman.8/files/2014/01/0EntireBook061311-
wh0yjy.
26. Gödel, K. (1930). Die vollständigkeit der axiome des logischenfunktionenkalküls. MonatshefteMathematik Physics, 37(1), 349–360.
27. Gödel, K. (1938). The consistency of the axiom of choice and of the generalized continuum hypothesis. Proceedings of the National
Academy of Sciences, 24, 556–557.
28. Hamkins, J. D. (2012). The set-theoretic multiverse. Review of Symbolic Logic, 5, 416–449.
29. Kapulkin, C., Lumsdaine, P. L. (2012). The simplicial model of univalent foundations (after Voevodsky). arxiv:1211.2851.
30. Kunen, K. (2011). Set theory, volume 34 studies in logic (London). London: College Publications.
31. Lévy, A., &Solovay, R. M. (1967). Measurable cardinals and the continuum hypothesis. Israel Journal Mathematics, 5, 234–248.
32. Mac Lane, S. (1971). Categorical algebra and set-theoretic foundations. In: Axiomatic Set Theory. Proceedings of Symposia in Pure
Mathematics, Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967), Amer. Math. Soc., (pp. 231–240. Providence, R.I.
33. Osius, G. (1974). Categorical set theory: A characterization of the category of sets. Journal of Pure Applied Algebra, 4, 79–119.
34. (2013). The Univalent Foundations Program. Homotopy type theory: Univalent foundations of mathematics. Institute for Advanced
Study.
35. Shapiro, S. (1999). Do not claim too much: Second-order logic and first-order logic. Philosophia Mathematics, 7, 42–64.
36. Venturi, G. (2016). On the naturalness of new axioms in set theory. Preprint
2. Chinmayananda, Swami. The Holy Geeta: Mumbai, 2002
3. Goyandka, Shri Harikrishnadas. Translation of Shankracharya's Commentary of theBhagavad Gita (Hindi): Gorakhpur, 2006.
4. Goyandka, Jayadayal. Navadha Bhakti: Gorakhpur, 2011.
5. Karanbelkar, Dr. P.V. Patanjala Yoga Sutras: Lonavla.
6. Khemka, Radheyshaym (ed). Bhaktamala: Gorakhpur, 2013.
7. Saraswati, Swami Akhandananda (tr). Shrimad BhagavataPurana (2 Volumes):Gorakhpur, 2004.
8. Swami Prabhupada, A.C. Bhaktivedanta. SrimadBhagavatam: Mumbai.
9. Autry, J. (2001). The servant leader. Roseville, California: Prima Publishing, 50-56, 178.
10. Bennis, W. and Goldsmith, J. (1997). Learning to lead. Reading, Massachusetts: Perseus Books, 24-25, 70-73.
11. Gardiner, J. (1998). Quiet presence: The holy ground of leadership. In L. Spears (Ed.). Insights on leadership: Service, stewardship,
spirit, and servant-leadership. New York: John Wiley & Sons, Inc., 116-125.
12. Glickman, C., Gordon, S., and Ross-Gordon, J. (2005). The basic guide to supervision and instructional leadership. Toronto: Pearson
Education Ltd., 156.
13. Greenleaf, R. (1970/1991). The servant as leader. Indianapolis: The Robert K. Greenleaf Center, 1-37
14. Greenleaf, R. (1976). The institution as servant. Indianapolis: The Robert K. Greenleaf Center, 1-16.
15. Greenleaf, R. (1977). Servant leadership: A journey into the nature of legitimate power and greatness. New York: Paulist Press, 5.
16. Greenleaf, R. (1986). On becoming a servant-leader. Indianapolis: Robert K. Greenleaf Center, 343, 347.
17. Greenleaf, R. (2002). Teacher as servant: A parable. Indianapolis: The Robert K. Greenleaf Center, 151.
18. John Gilbert, A Brief Note on Set Theory and its Applications, Research & Reviews: Journal of Statistics and Mathematical Sciences,
6-7, 2022.
19. MirnaDžamonja (2017), Journal of Indian council of philosophical research, vol. (34), 415-424, 2017.
20. Awodey, S. (2014). Structuralism, invariance, and univalence. Philosophia Mathematica, 22(1), 1–11.
21. Cohen, P. (1966). Set theory and the continuum hypothesis. New York: Benjamin.
22. Džamonja, M. (2013). Forcing axioms, finite conditions and some more. In: Logic and its applications, volume 7750 of Lecture Notes
in Computer Science (pp. 17–26). Heidelberg: Springer.
23. Feferman, S. (1977). Categorical foundations and foundations of category theory. In: Logic, foundations of mathematics and
computability theory. Proceedings of the Fifth International Congress Logic, Methodology and Philosopy of Science, University of
Western Ontario, London, Ontorio, 1975, Part I, University of Western Ontario Series Philosophical Science (Vol. 9, pp. 149–169).
Reidel, Dordrecht.
24. Fraenkel, A. A., Bar-Hillel, Y., &Lévy, A. (1973). Foundations of set theory (2nd ed.). Amsterdam, North-Holland: Elsevier.
25. Friedman, H. (2014). Boolean relation theory and incompleteness. https://u.osu.edu/friedman.8/files/2014/01/0EntireBook061311-
wh0yjy.
26. Gödel, K. (1930). Die vollständigkeit der axiome des logischenfunktionenkalküls. MonatshefteMathematik Physics, 37(1), 349–360.
27. Gödel, K. (1938). The consistency of the axiom of choice and of the generalized continuum hypothesis. Proceedings of the National
Academy of Sciences, 24, 556–557.
28. Hamkins, J. D. (2012). The set-theoretic multiverse. Review of Symbolic Logic, 5, 416–449.
29. Kapulkin, C., Lumsdaine, P. L. (2012). The simplicial model of univalent foundations (after Voevodsky). arxiv:1211.2851.
30. Kunen, K. (2011). Set theory, volume 34 studies in logic (London). London: College Publications.
31. Lévy, A., &Solovay, R. M. (1967). Measurable cardinals and the continuum hypothesis. Israel Journal Mathematics, 5, 234–248.
32. Mac Lane, S. (1971). Categorical algebra and set-theoretic foundations. In: Axiomatic Set Theory. Proceedings of Symposia in Pure
Mathematics, Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967), Amer. Math. Soc., (pp. 231–240. Providence, R.I.
33. Osius, G. (1974). Categorical set theory: A characterization of the category of sets. Journal of Pure Applied Algebra, 4, 79–119.
34. (2013). The Univalent Foundations Program. Homotopy type theory: Univalent foundations of mathematics. Institute for Advanced
Study.
35. Shapiro, S. (1999). Do not claim too much: Second-order logic and first-order logic. Philosophia Mathematics, 7, 42–64.
36. Venturi, G. (2016). On the naturalness of new axioms in set theory. Preprint
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