Re: ** says: Definition: sum{i in N} i = 0

On 21 Jun., 20:08, Virgil <vir...@xxxxxxxxxxx> wrote:
In article <1182430766.206895.121...@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,

WM <mueck...@xxxxxxxxxxxxxxxxx> wrote:
If sum is not considered to be meaning sum, then he should have used
another symbol. Why should there be any sensible meaning in using a
symbol, say "_+ _ + _ + ..." and attaching to it a meaning involving
"_- _ + _ - ..."? Some tactical manoeuvre to cope with the paradoxes
of set theory?

WM is apparently unfamiliar with the common practice of using the "+"
symbol to mean a number of different things simultaneoulsy. For example,
in a vector space, with lower case indicating scalars and upper case
indicating vectors, consider the expression (a + b)(A + B).

When used in the natural numbers, for instance, the symbol "+" is well
defined. It has a fixed meaning and cannot be changed unless clearly
stated. At least in mathematics this is so.

By the way, why don't you define Sum{n in N} (1/2^n) = -5 ? Or 7+1+3 =
317?


Unfortunately you are not advanced enough in mathematics to judge even
about this simple topic.

From someone whose ignorance of even elementary mathematics is so nearly
total, such a remark is the height of arrogance.


The result 1+2+3+ ... = 0 is exactly as correct as the assertion that
in the binary more paths than nodes were possible. Both statements are
logically equivalent, because in both cases you must give up
steadiness and continuous concluding.

A fine result. I think we both can be happy with it.


Regards, WM

.

Relevant Pages

  • Re: ** says: Definition: sum{i in N} i = 0
    ... Why should there be any sensible meaning in using a ... with lower case indicating scalars and upper case ... From someone whose ignorance of even elementary mathematics is so nearly ...
    (sci.math)
  • Re: ** says: Definition: sum{i in N} i = 0
    ... Why should there be any sensible meaning in using a ... of set theory? ... in a vector space, with lower case indicating scalars and upper case ...
    (sci.math)
  • Re: ** says: Definition: sum{i in N} i = 0
    ... Why should there be any sensible meaning in ... WM is apparently unfamiliar with the common practice of using the ... example, in a vector space, with lower case indicating scalars and ...
    (sci.math)
  • Re: ** says: Definition: sum{i in N} i = 0
    ... Why should there be any sensible meaning in ... example, in a vector space, with lower case indicating scalars and ... Have you ever heard of the epsilon surrounding of oo? ...
    (sci.math)
Quantcast