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Topic: Matheology § 047
Replies: 167   Last Post: Jul 4, 2012 1:05 PM

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 Richard Tobin Posts: 1,418 Registered: 12/6/04
Re: Re: Matheology § 047
Posted: Jun 27, 2012 1:56 PM

WM <mueckenh@rz.fh-augsburg.de> wrote:

>> What is your definition of "lie continuous"?

>There are no gaps.

>There is no gap on the continuous line. Either the next point is
>rational or it is irrational. Even when we cannot identify it.

How do you deduce from the absence of gaps that there is a "next
point"?

On the contrary, the absence of gaps implies that there is *not* a
next point. If there were a next point, there would be a gap between
each point and the next where their midpoint ought to be.

-- Richard

Date Subject Author
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 FredJeffries@gmail.com
6/23/12 FredJeffries@gmail.com
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 FredJeffries@gmail.com
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 Uergil
6/23/12 Jürgen R.
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 Jürgen R.
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 Jürgen R.
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 Jürgen R.
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 Jürgen R.
6/23/12 Jürgen R.
6/24/12 mueckenh@rz.fh-augsburg.de
6/24/12 Jürgen R.
6/24/12 mueckenh@rz.fh-augsburg.de
6/24/12 Uergil
6/24/12 Uergil
6/23/12 Uergil
6/23/12 Uergil
6/24/12 mueckenh@rz.fh-augsburg.de
6/24/12 Uergil
6/23/12 Uergil
6/24/12 mueckenh@rz.fh-augsburg.de
6/24/12 Uergil
6/23/12 Mike Terry
6/23/12 mueckenh@rz.fh-augsburg.de
6/23/12 Uergil
6/24/12 mueckenh@rz.fh-augsburg.de
6/24/12 Uergil
6/23/12 Uergil
6/23/12 Uergil
6/24/12 William Hughes
6/25/12 mueckenh@rz.fh-augsburg.de
6/25/12 Mike Terry
6/25/12 mueckenh@rz.fh-augsburg.de
6/25/12 Mike Terry
6/25/12 mueckenh@rz.fh-augsburg.de
6/25/12 Mike Terry
6/25/12 Uergil
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 Mike Terry
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 Uergil
6/26/12 Mike Terry
6/26/12 Uergil
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 Uergil
6/28/12 Mike Terry
6/28/12 Uergil
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 Virgil
6/26/12 Uergil
6/25/12 Uergil
6/25/12 Uergil
6/25/12 Uergil
6/25/12 William Hughes
6/25/12 Uergil
6/25/12 mueckenh@rz.fh-augsburg.de
6/25/12 William Hughes
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 Uergil
6/26/12 William Hughes
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 Uergil
6/27/12 Richard Tobin
6/27/12 William Hughes
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 William Hughes
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 William Hughes
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 William Hughes
6/28/12 ross.finlayson@gmail.com
6/28/12 Uergil
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 William Hughes
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 Uergil
6/28/12 William Hughes
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 William Hughes
6/28/12 Virgil
6/28/12 William Hughes
6/28/12 Virgil
6/29/12 mueckenh@rz.fh-augsburg.de
6/29/12 mueckenh@rz.fh-augsburg.de
6/28/12 Virgil
6/28/12 Uergil
6/28/12 Uergil
6/27/12 Uergil
6/27/12 Uergil
6/27/12 Frederick Williams
6/27/12 Richard Tobin
6/28/12 Uergil
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 Richard Tobin
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 Richard Tobin
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 Richard Tobin
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 William Hughes
6/27/12 Uergil
6/27/12 Richard Tobin
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 Uergil
6/28/12 Mike Terry
6/28/12 FredJeffries@gmail.com
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 Virgil
6/28/12 Mike Terry
6/29/12 FredJeffries@gmail.com
6/28/12 mueckenh@rz.fh-augsburg.de
6/28/12 Virgil
6/28/12 Mike Terry
6/29/12 mueckenh@rz.fh-augsburg.de
6/29/12 mueckenh@rz.fh-augsburg.de
6/29/12 Mike Terry
6/30/12 mueckenh@rz.fh-augsburg.de
6/30/12 ross.finlayson@gmail.com
6/30/12 mueckenh@rz.fh-augsburg.de
6/30/12 ross.finlayson@gmail.com
6/30/12 mueckenh@rz.fh-augsburg.de
6/30/12 ross.finlayson@gmail.com
6/30/12 Virgil
6/30/12 Virgil
6/30/12 Mike Terry
6/30/12 mueckenh@rz.fh-augsburg.de
6/30/12 Virgil
6/30/12 Mike Terry
7/1/12 mueckenh@rz.fh-augsburg.de
7/1/12 Virgil
6/30/12 Virgil
7/1/12 mueckenh@rz.fh-augsburg.de
7/1/12 Virgil
7/3/12 mueckenh@rz.fh-augsburg.de
7/3/12 Virgil
7/4/12 mueckenh@rz.fh-augsburg.de
7/4/12 Virgil
6/27/12 Uergil
6/27/12 Uergil
6/27/12 Uirgil
6/25/12 FredJeffries@gmail.com
6/25/12 Uergil
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 FredJeffries@gmail.com
6/27/12 mueckenh@rz.fh-augsburg.de
6/27/12 Uergil
6/26/12 Uergil
6/26/12 FredJeffries@gmail.com
6/26/12 Mike Terry
6/26/12 FredJeffries@gmail.com
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 Virgil
6/25/12 Uergil
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 Uergil
6/26/12 mueckenh@rz.fh-augsburg.de
6/26/12 Uergil
6/25/12 Uergil
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6/24/12 Uergil