Cupola outside the three-dimensional space

dc.creator	István Szalay
dc.date	2009-06-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:44:20Z
dc.date.available	2015-07-20T22:44:20Z
dc.identifier	2065-1430
dc.identifier	https://doaj.org/article/a6344ab4e6184a86a209bd6661ae37a5
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/23519
dc.description	"Infinity" is a mysterious word. The concept of $limlimits_{xo x_0} f(x) = infty$, for example, is exciting and difficult for pupils and students, too. One reason is that it is almost impossible to compute with it because $limlimits_{xo x_0} f(x) = infty$ is a potential infinity. Although Cantor already introduced the concept of countable infinity $aleph_0$, making a big step towards the actual infinity, this is not enough. Using the exploded numbers and their super - operations (super - addition, super - multiplication, super - subtraction, super - division) we are able to compute with countable infinity and otheractually infinite "numbers". Thanks to computer - graphic arts this computation is useful for the didactics of mathematics. For application purposes, we show a cupola which is situated outside the three-dimensional space.
dc.language	English
dc.publisher	Babes-Bolyai University, Cluj-Napoca
dc.relation	http://adn.teaching.ro/
dc.relation	https://doaj.org/toc/2065-1430
dc.source	Acta Didactica Napocensia, Vol 2, Iss 2, Pp 119-134 (2009)
dc.subject	potential infinity
dc.subject	actual infinity
dc.subject	exploded numbers
dc.subject	didactics of mathematics
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.title	Cupola outside the three-dimensional space
dc.type	article