The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: (infinity) A real story
Replies: 9   Last Post: Oct 16, 2013 9:08 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 4,165
From: London
Registered: 2/8/08
Re: (infinity) A real story
Posted: Oct 15, 2013 6:21 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

<> wrote in message

> Above you see their widely known formulation of the natural numbers. They
> did not think about the problem of inclusion monotony, probably because
> they did not imagine the set in the form of my table.
> 1
> 1, 2
> 1, 2, 3
> ...

The set of natural numbers is the limit of that sequence:

1: 1
2: 1,2
3: 1,2,3
n: 1,2,3,...,n
w: 1,2,3,...,n,...,___w

For geometric reasons, namely for there being a last index, that
construction rather demands actual infinities.

In that sense, I should concede you have a point, although that is still not
that actual infinities in mathematics make no sense, in fact on the


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.