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is infinity a number or a concept?

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ever number is finite
thus, infinity is an idea, not a number
CharlieZ · 70-79, M
@SatyrService Infinity is not a number, agree.
But about your first sentence...Uh?
@CharlieZ what number is NOT finite?

even a number like pi, is still finite even if its digits are not
Cannabro · 36-40, M
I heard an unconfirmed story that the Japanese or Chinese or Asians counted pi to the trillions digits but I think it was later confirmed to be a myth @SatyrService
@Cannabro no matter the number of digits in PI it is stil a spot, a finite spot, on the numberline
one can also exress it as a fraction
22/7
CharlieZ · 70-79, M
@SatyrService Look at the definition of EACH Real by Dedekind.
Of course, infinity is a "property" of SETS of numbers, not a number itself.
Infinities (various) are the cardinality of some sets.
Finite sets have a cardinality, also.
But,, in that case, such cardinality is a number.
While this, the cardinality of infinite sets is not.
Victorian · 56-60, F
@SatyrService 22/7 equals 3.142857142857142857... etc infinity
@CharlieZ nicely found!

infinity is a "property" of SETS of numbers, not a number itself.
richard d was a clever man..
@Victorian yes, it has an infinate digital count
but like i said, it is a REAL number

CharlieZ · 70-79, M
@SatyrService Of course he was.
But his definiton of EACH Real Number is still algorithmic, of the "kind" with the halting problem.
@CharlieZ well how about THIS??
🤔

there are no numbers, they are an abstract creation of language
the are not in nature. only a description of what we perceive as quantity
CharlieZ · 70-79, M
@SatyrService You are right about numbers as quantities.
But if you look at them as structural relationships, the "description" of patterns, you find them in nature.
@CharlieZ this IS one of the most hotly contested ideas in modern and ancient mathematics

this is a most interesting presentation

CharlieZ · 70-79, M
@SatyrService Thank you for sharing!
I promisse to watch it tomorrow.
@CharlieZ 3 parts,, all very good!