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Search: Posts Made By: Dr Sardonicus
Forum: Puzzles 2020-04-02, 14:21
Replies: 27
Views: 13,030
Posted By Dr Sardonicus
In addition to ordered fields which are not...

In addition to ordered fields which are not complete, there are complete fields which are not ordered. The complex numbers are perhaps the best known example.

But there are also complete...
Forum: Puzzles 2020-04-02, 00:08
Replies: 27
Views: 13,030
Posted By Dr Sardonicus
Objection! Meaninglessness already pointed out...

Objection! Meaninglessness already pointed out in this post (https://www.mersenneforum.org/showpost.php?p=540956&postcount=2)!
Forum: Puzzles 2020-03-26, 19:44
Replies: 27
Views: 13,030
Posted By Dr Sardonicus
OTOH, we have 1 + A = A :missingteeth:

OTOH, we have

1 + A = A

:missingteeth:
Forum: Puzzles 2020-03-26, 19:06
Replies: 27
Views: 13,030
Posted By Dr Sardonicus
Of course, the series as written do not converge,...

Of course, the series as written do not converge, so simply taken at face value the question is nonsense.

One can assign values to the sums by misusing formulas. The value -1/12 assigned to 1 + 2...
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