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Forum: Puzzles

2020-04-02, 14:21

Replies: 27

Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

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

Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

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

Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

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

Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

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...

Showing results 1 to 4 of 4

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