Why formal mathematics based on deduction is inferior (and a summary of the alternatives)
C. K. Raju, ‘Decolonising Mathematics’, AlterNation 25, no. 2 (2018): 12–43b, https://doi.org/10.29086/2519-5476/2018/v25n2a2. Based on a keynote at Durban. Video at https://www.youtube.com/watch?v=cpS6MfzJr2E.
-------. “Ganita vs formal math”, lecture at Indian Institute of Advanced Study, November, 2019. Abstract at http://ckraju.net/papers/abstract-2-iias.pdf.
-------.‘To Decolonise Math Stand up to Its False History and Bad Philosophy’, in Rhodes Must Fall: The Struggle to Decolonise the Racist Heart of Empire (London: Zed Books, 2018), 265–70. http://ckraju.net/blog/?p=117,
-------.‘Black Thoughts Matter: Decolonized Math, Academic Censorship, and the “Pythagorean” Proposition’, Journal of Black Studies 48, no. 3 (2017): 256–78, https://doi.org/10.1177%2F0021934716688311, http://ckraju.net/papers/Manuscript-Black-thoughts-matter-accepted-version.pdf.
-------.‘Aryabhata Dalit: His Philosophy of Ganita and Its Contemporary Applications”’. In Theory and Praxis: Reflections on the Colonization of Knowledge, edited by Murzban Jal and Jyoti Bawane, 139–152. Routledge, London, 2020. http://ckraju.net/papers/Aryabhata-philosophy-of-ganita-paper-2r.pdf.
-------.‘How to break the hegemony perpetuated by the university: decolonised courses in mathematics and the history and philosophy of science (Arabic)’. In Culturalization of Humanities: Vision and Experiments. (Proceedings of the International Conference on Culturalization of the Humanities, Beirut, November 2018), 77–114. Beirut: Al Maaref University, 2019. http://ckraju.net/papers/Beirut-paper%20for%20iias%20journal.pdf.
--------, “Decolonising mathematics: how and why it makes science better (and enables students to solve harder problems)” http://ckraju.net/papers/Palestine-short-abstract.pdf. Abstract of two invited keynote addresses at Palestine Technical University, aborted due to Israel’s last-minute refusal to grant a visa. See also extended abstract at http://ckraju.net/papers/palestine-extended-summary.pdf.
How formal math teaches superstitions even in school math
Ganita vs mathematics, (in Hindi) talk at Jaipur Dialogues, Day 4, 20 Nov 2020, bulleted list of points at http://ckraju.net/papers/Jaipur-education-20-Nov-2020.pdf, Video: https://www.youtube.com/watch?v=33bNGTMGJso.
Recent videos
Decolonise Math = Eliminate the Myth, Fraud, and Superstition in Formal Math, 2020, https://www.youtube.com/watch?v=rvSbGFiCsO8. Talk to group at 16 Beaver St. NY (abridged). Longer version at https://vimeo.com/453532527/b2e6a6fda7.
Practical ganita vs religious mathematics (व्यावहारिक गणित और मज़हबी मैथमेटिक्स) . talk at Invertis University. Kanpur, https://www.youtube.com/watch?v=k5UsF18cbno.
How Colonial Education Changed Our Math Teaching (and what we can do about it today), New Delhi, Nov, 2019. https://www.youtube.com/watch?v=Rm6d-bUmmGg.
Sulba Sutra Geometry: Can we teach it in schools today? https://www.youtube.com/watch?v=rLI_UU6dfnE
Statistics for Social Science and Humanities: Should we Teach it Using Normal Math or Formal Math? Talk at JNU. Sep 2020. https://www.youtube.com/watch?v=A9Og1k-Z5O4.
Calculus: the real story, talk at MIT, Cambridge, Mass., 2015, https://www.youtube.com/watch?v=IaodCGDjqzs,
Decolonising science, panel discussion at University of Cape Town, https://www.youtube.com/watch?v=ckbzKfRIi6Q.
Fuller list of videos at http://ckraju.net/cv/6-ckr-videos.html,
-------. Marx and mathematics-1 Marx and the calculus. Frontier Weekly. 2020 Aug 28; Available from: https://www.frontierweekly.com/views/aug-20/28-8-20-Marx%20and%20mathematics-1.html49.
-------. Marx and mathematics. 2: ‘Discovery’ of calculus. Frontier Weekly. 2020 Aug 31; Available from: https://www.frontierweekly.com/views/aug-20/31-8-20-Marx%20and%20mathematics-2.html
50.
-------. Marx and mathematics. 3: The European navigational problem and the dissemination of the Indian calculus in Europe. Frontier Weekly. 2020 Sep 4; Available from: https://www.frontierweekly.com/views/sep-20/4-9-20-Marx%20and%20mathematics-3.html
51.
-------. Marx and matheamtics. 4: The epistemic test. Frontier Weekly. 2020 Sep 8; Available from: https://www.frontierweekly.com/views/sep-20/8-9-20-Marx%20and%20mathematics-4.html
52.
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Marx and mathematics. 5: The relevance for Marxism. Frontier Weekly.
2020 Sep 13; Available from:
https://www.frontierweekly.com/views/sep-20/13-9-20-Marx%20and%20mathematics-5.html
-------. Science, reason, superstition. 1: Religion and geopolitics. Frontier articles on Society & Politics. 2020 Jun 7; Available from: https://www.frontierweekly.com/views/jun-20/7-6-20-Science%20reason%20and%20superstition-1.html
43.
-------. Science, reason, superstition. 2: The superstitions in science. Frontier articles on Society & Politics. 2020 Jun 8; Available from: https://www.frontierweekly.com/views/jun-20/8-6-20-Science%20reason%20and%20superstition-2.html
44.
-------. Science, reason, superstition. 3: The church connection of reason. Frontier articles on Society & Politics. 2020 Jun 9; Available from: https://www.frontierweekly.com/views/jun-20/9-6-20-Science%20reason%20and%20superstition-3.html
45.
-------. Science, reason, superstition. 4: Eliminating metaphysics, decolonising mathematics. Frontier articles on Society & Politics. 2020 Jun 10; Available from: https://www.frontierweekly.com/views/jun-20/10-6-20-Science%20reason%20and%20superstition-4.html
46.
-------. History Shows How Our Education System Inculcates Racist Values. TheQuint. 2020 Jul 7; Available from: https://www.thequint.com/voices/opinion/history-of-racism-in-education-system
47.
-------. नस्लवाद और शिक्षा. Jansatta. 2020 Jul 12; Available from: https://www.jansatta.com/sunday-column/peoples-thinking-impact-of-education-and-world-attitude-towards-racism-in-modern-social-system/1465188/
-------. ‘Celebrating Dalit Achievements: C. K. Raju’. KAFILA, 12 February 2019. https://kafila.online/2019/02/12/celebrating-dalit-achievements-c-k-raju/.
-------. ‘आंबेडकर के जातिवाद के विनाश के दृष्टिकोण से आर्यभट एक आदर्श दलित प्रतीक हैं’, Jansatta, 30 September 2018. https://www.jansatta.com/sunday-column/celebration-of-dalit-achievements-jansatta-column/777664/.
-------.‘Mathematics, Decolonization and Censorship: C. K. Raju’. KAFILA, 25 June 2017. https://kafila.online/2017/06/25/mathematics-and-censorship-c-k-raju/.
-------.‘To
Decolonise Math Stand up to Its False History and Bad Philosophy’.
Conversation, 24 October 2016. CENSORED after article went
viral.
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‘To Decolonise Maths,
Stand up to Its False History and Bad Philosophy’. The
Wire, 2016.
https://thewire.in/history/to-decolonise-maths-stand-up-to-its-false-history.
(Censored and put
back.)
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‘Was Euclid A Black Woman? Sorting Through The False History
And Bad Philosophy Of Mathematics | Science 2.0’, 24 October
2016.
https://www.science20.com/the_conversation/was_euclid_a_black_woman_sorting_through_the_false_history_and_bad_philosophy_of_mathematics-180581.
Cultural Foundations of Mathematics: the nature of mathematical proof, and the transmission of the calculus from India to Europe in the 16th c. CE (Pearson Longman, 2007, PHISPC Vol. X.4, 477+xlv pp, ISBN: 81-317-0871-3. Summary at http://ckraju.net/papers/GJH-book-review.pdf.
Is Science Western in Origin? Multiversity, Penang, and (English and Hindi) Daanish Books 2009, 2014. Reprint 2014, Other India Bookstore, Mapusa. Also Farsi translation, Iran Universities Press, 2012. Summary at http://ckraju.net/books/Is-Science-Western-in-Origin.html.
Ending Academic Imperialism, Multiversity, Penang, 2011. http://multiworldindia.org/wp-content/uploads/2010/05/Academic-imperialism-final.pdf.
Euclid and Jesus: How and why the church changed mathematics and Christianity across two religious wars, Multiversity and Citizens International, 2012, 220 pp, ISBN: 978-983-3046-17-1. More details and related links at http://ckraju.net/Euclid/.
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“Teaching mathematics with a different philosophy. Part 1: Formal mathematics as biased metaphysics.” Science and Culture 77 (7-8) (2011) pp. 274–279. http://www.scienceandculture-isna.org/July-aug-2011/03%20C%20K%20Raju.pdf, arXiv:1312.2099.
“Teaching mathematics with a different philosophy. Part 2: Calculus without limits”, Science and Culture 77 (7-8) (2011) pp. 280–85. http://www.scienceandculture-isna.org/July-aug-2011/04%20C%20K%20Raju2.pdf. arXiv:1312.2100.
“Towards Equity in Math Education. 1: Good-Bye Euclid!”, Bharatiya Samajik Chintan (New Series) 7 (4) (2009) 255–264. http://ckraju.net/papers/MathEducation1Euclid.pdf.
“Towards Equity in Math Education. 2: The Indian Rope Trick”, Bharatiya
Samajik Chintan (New Series) 7 (4) (2009) 265–269. http://ckraju.net/papers/MathEducation2RopeTrick.pdf.
“Probability in Ancient India”, chp. 37 in Handbook of the Philosophy of Science, vol 7. Philosophy of Statistics, ed, Dov M. Gabbay, Paul Thagard and John Woods. Elsevier, 2011, pp. 1175-1196. http://www.ckraju.net/papers/Probability-in-Ancient-India.pdf.
Articles for Encyclopedia of Non-Western Science, Technology and Medicine, Springer, 2008, 2014, 2016
Logic (http://ckraju.net/papers/Nonwestern-logic.pdf), pp. 2564-2570.
Calculus1 (http://ckraju.net/papers/Springer/ckr-Springer-encyclopedia-calculus-1-final.pdf), pp. 1010-1015.
Calculus2 (http://ckraju.net/papers/Springer/ckr-Springer-encyclopedia-calculus-2-final.pdf), pp. 1016-1022.
Probability (http://ckraju.net/papers/Springer/Probability-springer.pdf), pp. 3585-3589.
Zeroism (http://ckraju.net/papers/Springer/zeroism-springer-f.pdf), pp. 4604-4610.
“Religious
roots of mathematics”, Theory,
Culture & Society
23(1–2)
Jan-March 2006, Spl. Issue ed. Mike Featherstone, Couze Venn, Ryan
Bishop, and John Phillips, pp. 95–97.
http://ckraju.net/papers/Religious-roots-of-math-TCS.pdf.
Articles on decolonisation
“Decolonising math and science education”. Ghadar Jari Hai 8(3), 2014, pp. 5-12. http://www.ghadar.in/gjh_html/?q=content/decolonising-math-and-science-education.
“Decolonising Maths education”, in The Hindu, 24 Oct 2014. Full version posted online at http://ckraju.net/press/2014/Response-to-Glover-Teach-religiously-neutral-math.html.
“Decolonising math and science”. In: Decolonising the University, ed. Claude Alvares and Shad Faruqi,USM and Citizens International, 2012, pp. 162–195. http://ckraju.net/papers/decolonisation-paper.pdf.
“Decolonisation of education: further steps”, paper for the meeting on “Decolonisation and leadership”, Nottingham University, Malaysia Campus, Jan 2015. Draft posted at http://ckraju.net/papers/KL-abstract-and-draft.pdf.
“Decolonising our universities: time for change.” Response to Wildavsky. GlobalHigherEd http://globalhighered.wordpress.com/2011/09/11/decolonising-our-universities-time-for-change/.
“Swaraj in thought: Decolonising our universities for a just world order”. Paper for plenary talk at the Indian Social Sciences Congress, Wardha, Dec 2011. In Proc. http://ckraju.net/Swaraj-in-thought.pdf.
गणित कठिन क्यों लगता है? Edit page, Dainik Bhaskar, 9 June 2012. http://ckraju.net/press/2012/ganita-kathin-kyon-lagata-hai.gif.
“Computers, Mathematics Education, and the Alternative Epistemology of the Calculus in the YuktiBhâsâ”, Philosophy East and West, 51(3), 2001, pp. 325–362. http://ckraju.net/papers/Hawaii.pdf.