[Ads-l] more impossible

James Landau 00000c13e57d49b8-dmarc-request at LISTSERV.UGA.EDU
Sun Dec 13 13:17:10 EST 2020


On Sat, 12 Dec 2020 08:11:27 Zone -0500  dave at WILTON.NET wrote:

<quote> mathematicians talk of greater and lesser
infinities. Mathematically, one infinity can be more infinite than another
infinity, e.g., the infinity of all numbers is more infinite than the
infinity of prime numbers.
<end quote>
Badly worded, since "number" is ambiguous in this context.You should have said "the infinity of all real numbers is larger than the infinity of prime numbers"
"more infinite" is not correct mathspeak.
Note that the infinity of prime numbers is the same size as (in the jargon, can be placed in one-to-one correspondence with) the infinity of prime numbers, which is equal to the infinity of integers, which is equal to the infinity of algebraic numbers, which is NOT equal to the infinity of real numbers.

James Landau
jjjrlandau at netscape.com

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