Re: infinity
aeo6 Tony Orlow wrote:
> construct an infinite set of string representations. One the left of the
> decimal point, you refuse to allow infinitely long strings, so you cannot
> possibly have an infinite number of whole numbers. In decimal, given n digits,
> we can have 10^n distinct strings. Can 10^n be infinite if n is finite?
What value of n covers all possible finite strings?
- Randy
.
Relevant Pages
- Re: infinity
... > Cantor-infinite, and so the set of strings will also be ... Sure, Cantor-infinite, but not actually infinite. ... the Cantor-infinite set of finite naturals. ...
(sci.math) - Re: Epistemology 201: The Science of Science
... :>: that the number of elements is "infinite" that we get into any trouble ... :>:> are in the set of strings that correspond to decimal representations of ... :>: strings representing octals are just a subset of the strings ...
(sci.cognitive) - Re: Epistemology 201: The Science of Science
... :>: that the number of elements is "infinite" that we get into any trouble ... :>:> are in the set of strings that correspond to decimal representations of ... :>: strings representing octals are just a subset of the strings ...
(sci.physics) - Re: Orlow cardinality question
... >> Given a set of symbols with size S, we can produce a set of all strings using ... >> If we want to have an infinite ... > each member and thus injects S into a proper subset of itself. ... Yep Cantor screwed up. ...
(sci.math) - Re: Epistemology 201: The Science of Science
... :>: that the number of elements is "infinite" that we get into any trouble ... :>:> are in the set of strings that correspond to decimal representations of ... :>: strings representing octals are just a subset of the strings ...
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