id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_j3feyslghbalzktmg47mvskcje	Rafael E. Núñez	Creating mathematical infinities: Metaphor, blending, and the beauty of transfinite cardinals	2005	45	.pdf	application/pdf	12307	747	58	numbers as a special case of mathematical actual infinity. fruitful is the idea of actual infinity, which characterizes an infinite process as a realized A basic problem for Cantor was to determine the number of elements in a set When two finite sets have the same number of elements, a one-to-one correspondence In order to understand the cognitive nature of actual infinity and the conceptual structure Both, aspect and the BMI, being bodilygrounded phenomena of human cognition provide the elements to understand how the infinite aggregate containing all finite cardinal numbers. result of counting the aggregate of all finite cardinal numbers, while the former is result of counting the aggregate of all finite cardinal numbers, while the former is of the special case of the BMI for the set of all natural numbers. cognitive nature of transfinite cardinals and actual infinities are: the nature of transfinite cardinals, actual infinities, or, for that matter, of mathematical 	./cache/work_j3feyslghbalzktmg47mvskcje.pdf	./txt/work_j3feyslghbalzktmg47mvskcje.txt