Changes

== No additional numbers may be added to the continuum (real line) without losing its dense linear order. ==

== No additional numbers may be added to the continuum (real line) without losing its dense linear order. ==

The article asserts that "No additional numbers may be added to the continuum (real line) without losing its dense linear order." This is not true. I don't know what the author is trying to get at here. Unless anyone has any objections could we please remove this line? If anyone has any doubts that about this then here is a proof:

The article asserts that "No additional numbers may be added to the continuum (real line) without losing its dense linear order." This is not true. I don't know what the author is trying to get at here. Unless anyone has any objections could we please remove this line? If anyone has any doubts about this then here is a proof:

Claim: An additional point can be added to the real line without the line losing its dense linear order.

Claim: An additional point can be added to the real line without the line losing its dense linear order.