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SatyrService · M
ever number is finite
thus, infinity is an idea, not a number
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?
But about your first sentence...Uh?
SatyrService · M
@CharlieZ what number is NOT finite?
even a number like pi, is still finite even if its digits are not
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
SatyrService · M
@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
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.
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
SatyrService · M
@CharlieZ nicely found!
infinity is a "property" of SETS of numbers, not a number itself.
richard d was a clever man..
SatyrService · M
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.
But his definiton of EACH Real Number is still algorithmic, of the "kind" with the halting problem.
SatyrService · M
@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

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.
But if you look at them as structural relationships, the "description" of patterns, you find them in nature.
SatyrService · M
@CharlieZ this IS one of the most hotly contested ideas in modern and ancient mathematics
this is a most interesting presentation
this is a most interesting presentation
CharlieZ · 70-79, M
@SatyrService Thank you for sharing!
I promisse to watch it tomorrow.
I promisse to watch it tomorrow.
SatyrService · M
@CharlieZ 3 parts,, all very good!