Re: Informal Infinity

In article <1164437919.960034.211720@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"zuhair" <zaljohar@xxxxxxxxx> wrote:

fishfry wrote:
In article <1164431959.819039.256230@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"zuhair" <zaljohar@xxxxxxxxx> wrote:

fishfry wrote:
In article <1164333095.419474.117850@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"zuhair" <zaljohar@xxxxxxxxx> wrote:

Hi All,

neithr |G nor G| is equal to | |. because visually | | | is different
from | |.


If "visual difference" is your criterion for distinguishing one number
from another, you're in trouble as soon as you get to around 8 or 9. Let
alone 2^2^2^2^2^2^2 and that number plus 5. Nobody could identify a
"visual difference" between those two collections of sticks.

we can logically deduced that there are difference between these
bundles.


You contradicted yourself. You said you need to perceive a visual
difference.

Yea , I changed my idea. it is not the visual difference, it is the
concept of the existance of peripherals.


How do you know that two different observers would have the same
concept? You have two very large strings of '|' characters. Observer A
says they're exactly the same. Observer B says they're not.

If the strings are very long, it's not possible for a "visual" to
distinguish them. Now you're saying that one can distinguish them by
"concept." But I don't know what that means.

You started this thread trying to claim that the notion of one-to-one
correspondence is unnecessary. But this example shows that one-to-one
correspondence is essential. It's the idea that lets us unambiguously
compare collections of '|' characters.
.

Relevant Pages

  • Re: Informal Infinity
    ... If "visual difference" is your criterion for distinguishing one number ... Observer B says they're not. ... between sets and these bundles. ... cardinality of a set) we need to establish bijection between that ...
    (sci.math)
  • Re: Informal Infinity
    ... If "visual difference" is your criterion for distinguishing one number ... you're in trouble as soon as you get to around 8 or 9. ... of the '|' characters? ...
    (sci.math)
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