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On 9/10/2024 12:31 PM, Moebius wrote:Nope. There is NO unit fraction in te gap (between 1/2 and 1/2).Am 10.09.2024 um 21:05 schrieb Chris M. Thomasson:How about:On 9/10/2024 11:42 AM, Chris M. Thomasson wrote:>On 9/10/2024 4:09 AM, FromTheRafters wrote:>Chris M. Thomasson brought next idea :>On 9/9/2024 11:49 AM, WM wrote:>On 09.09.2024 17:27, Python wrote:>Le 09/09/2024 à 17:15, Prof. Dr. Mückenheim, aka WM a écrit :>On 09.09.2024 16:32, Python wrote:Le 09/09/2024 à 12:19, Prof. Dr. Mückenheim, aka WM a écrit :1/n is not in (0, x). Sure. So what? Nevertheless there are Aleph_0 unitIf you cannot understand mathematics consider the simplest logic:
fractions in (0, x). No need for 1/n to be there, there far enough other
fractions.
>
If a sequence of different real points exists on the positive real axis, then it has a beginning. Otherwise it could be a cloud but not a sequence.
Oh wow. You need help! Or we do for even giving you the time of day. YIKES!!!!!!!!!!
Actually, I think he is close to correct. The thing is, he wants the first term of the sequence to be last. The reals are not a sequence, but the unit fractions are and they start with 1/1 not at some imagined other end. You need a first and likely a next to start.
So, I am thinking there is a unit fraction that fits in the simple gap of 1/1 and 1/2:
>
1/1----->1/4------>1/2
>
?
>
Fair enough? Is this getting on track or going off the rails?
Actually, there
is NO
>unit fractions in that gap[.]>
:-)
>
1/1----->(1/4 + 1/4 + 1/4)------>1/2
1----->.75----->1/2
?
There are infinite[ly many] unit fractions in the gap?
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