The following papers were published in July on my\u00a0teaching experiments on calculus. (Should have blogged about it long ago.)<\/p>\n
“Teaching mathematics with a new philosophy”,\u00a0<\/p>\n
Formal mathematics is difficult because of the\u00a0church metaphysics in it, which has nil practical value.\u00a0The simple solution is to\u00a0teach calculus for practical purposes,\u00a0the way it historically developed in India, together with the philosophy of zeroism. It works!<\/p>\n
This religious bias in mathematics\u00a0crept into Newtonian physics through calculus in a subtle way, and into Stephen Hawking’s\u00a0singularity theory\u00a0in a not so subtle way.<\/p>\n
———————-<\/p>\n
Hawking’s singularities <\/a>are\u00a0about the failure of the metric tensor to be twice\u00a0continuously differentiable.\u00a0This is absurdly interpreted by Hawking to\u00a0mean a “moment of creation”,\u00a0\u00a0at which the “laws” of physics fail! See the earlier blog on Hawking<\/a>.<\/p>\n \u00a0<\/p>\n","protected":false},"excerpt":{"rendered":" The following papers were published in July on my\u00a0teaching experiments on calculus. (Should have blogged about it long ago.) “Teaching mathematics with a new philosophy”,\u00a0 Part 1: \u201cFormal mathematics as biased metaphysics\u201d, \u00a0Science and Culture 77(7-8) (2011) pp. 275-80 Part 2: \u201cCalculus without limits\u201d\u00a0 Science and Culture 77(7-8) (2011) pp. 281-86 Formal mathematics is difficult because of the\u00a0church metaphysics in it, which has nil practical value.\u00a0The simple solution is to\u00a0teach calculus for practical purposes,\u00a0the way it historically developed in India, together with the philosophy of zeroism. It works! This religious bias in mathematics\u00a0crept into Newtonian physics through calculus in a subtle way, and into Stephen Hawking’s\u00a0singularity theory\u00a0in a not so subtle way. ———————- Hawking’s singularities are\u00a0about the failure of the metric tensor to be twice\u00a0continuously differentiable.\u00a0This is absurdly interpreted by Hawking to\u00a0mean a “moment of creation”,\u00a0\u00a0at which the “laws” of physics fail! See the earlier blog on Hawking. \u00a0<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,3,6],"tags":[],"class_list":["post-67","post","type-post","status-publish","format-standard","hentry","category-education","category-history-and-philosophy-of-mathematics","category-physics"],"_links":{"self":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/posts\/67","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=67"}],"version-history":[{"count":0,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=\/wp\/v2\/posts\/67\/revisions"}],"wp:attachment":[{"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=67"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=67"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ckraju.net\/wordpress_F\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=67"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}