{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T03:35:09Z","timestamp":1761708909465},"reference-count":19,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2013,10,1]],"date-time":"2013-10-01T00:00:00Z","timestamp":1380585600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proc. IEEE"],"published-print":{"date-parts":[[2013,10]]},"DOI":"10.1109\/jproc.2013.2274907","type":"journal-article","created":{"date-parts":[[2013,9,16]],"date-time":"2013-09-16T18:02:00Z","timestamp":1379354520000},"page":"2147-2153","source":"Crossref","is-referenced-by-count":15,"title":["The Reasonable Ineffectiveness of Mathematics [Point of View]"],"prefix":"10.1109","volume":"101","author":[{"given":"Derek","family":"Abbott","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1038\/35023282"},{"key":"ref11","author":"davies","year":"2007","journal-title":"The Goldilocks Enigma Why Is the Universe Just Right for Life?"},{"key":"ref12","author":"abbott","year":"1884","journal-title":"Flatland A Romance of Many Dimensions"},{"key":"ref13","first-page":"157","author":"von neumann","year":"1955","journal-title":"The Unity of Knowledge"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/BFb0026680","volume":"1398","author":"bensusan","year":"1998","journal-title":"Lecture Notes in Computer Science"},{"key":"ref15","author":"hestenes","year":"1999","journal-title":"New Foundations for Classical Mechanics Fundamental Theories of Physics"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01883676"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2011"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2014.2339299"},{"key":"ref19","author":"hawkins","year":"1964","journal-title":"Natural Lang"},{"key":"ref4","author":"stove","year":"1991","journal-title":"The Plato Cult and Other Philosophical Follies"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.2307\/2321982"},{"key":"ref6","author":"penrose","year":"2004","journal-title":"The Road to Reality A Complete Guide to the Laws of the Universe"},{"key":"ref5","author":"lovatt","year":"2007","journal-title":"New Skins for Old Wine Plato's Wisdom for Today's World"},{"key":"ref8","author":"chappell","year":"0","journal-title":"Geometric Algebra A Natural Representation of Three-Space"},{"key":"ref7","first-page":"118","article-title":"The operator <ref_formula><tex Notation=\"TeX\">$j$<\/tex><\/ref_formula> and a demonstration that <ref_formula><tex Notation=\"TeX\"> $\\cos\\theta+j\\sin\\theta={\\rm e}^{j\\theta}$<\/tex><\/ref_formula>","volume":"26","author":"willoughby","year":"1965","journal-title":"Proc Inst Radio Electron Eng"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160130102"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-49903-6"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2009.071292"}],"container-title":["Proceedings of the IEEE"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/5\/6600788\/06600840.pdf?arnumber=6600840","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T20:23:21Z","timestamp":1638217401000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6600840\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10]]},"references-count":19,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/jproc.2013.2274907","relation":{},"ISSN":["0018-9219","1558-2256"],"issn-type":[{"value":"0018-9219","type":"print"},{"value":"1558-2256","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,10]]}}}