Mathematics Philosophy - Actual Infinity vs. Potentially Infinity

shahar

Full Member
Joined
Jul 19, 2018
Messages
496
what the differences between actual infinity to potentially infinity?
 
First, you mean "potential" infinity as an adjective, not "potentially", an adverb. You could say "potentially infinite" since "infinite" is an adjective where "infinity" is a noun. (That's your English lesson for today.)

"Actual infinity", often called "completed infinity", applies only to sets: A set is "infinite" if and only if there is no upper bound on the number of objects it contains. "potential infinity" applies to sequences: the sequence 1, 2, 3, … increases without bound so is a "potential" infinity. (Since the two situations are completely different, there is seldom reason to make the distinction!)
 
Efraim Fischbein article

How it connected to Efraim Fischbein theory on his articles about Psychology of Mathematics Education?!
 
Top