What the result of null added to itself?

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SUMMARY

The discussion centers on the mathematical concept of null and its properties when added to itself. Participants agree that null, represented as 0, remains unchanged when added to itself, confirming the statement "The null part added to itself will always remain the same as itself, namely null." The conversation also touches on the concept of infinity, clarifying that infinity is not a number but a concept, and thus expressions like ∞ * 0 are undefined. The need for formalization using limits is suggested to clarify these concepts further.

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The null part added to itself will always remain the same as itself, namely null.
Hey,...

is that correct to say that "The null part added to itself will always remain the same as itself, namely null.""

In arithmetic, 3 * 0 = 0 + 0 + 0 = 0;

It is therefore healthy to extrapolate as follows:∞-1 * 0 = 0 + 0 + 0 +... + 0 + 0 + 0 + 0 = 0
∞ * 0 = 0 + 0 + 0 +... + 0 + 0 + 0 + 0 + 0 =0Edit: read ∞ instead of infinite
 
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There is no number called "infinite".
 
you are right ... it is a mistake from me...

take ∞ for accountInfinity, denoted ∞, is not a number, but a concept or a phenomenon. We can, for example, say that the value of a variable x grows positively by taking larger and larger values; we will then say that x tends to infinity.
 
somok said:
you are right ... it is a mistake from me...

take ∞ for accountInfinity, denoted ∞, is not a number, but a concept or a phenomenon. We can, for example, say that the value of a variable x grows positively by taking larger and larger values; we will then say that x tends to infinity.
Perhaps formalize this a bit more clearly with limits.
 
Mayhem said:
Perhaps formalize this a bit more clearly with limits.

@Mayhem

stay focus to my initial question...plsis that correct to say that :

"" The null part added to itself will always remain the same as itself, namely null.""think about geometry if you have more facilities :

287871780_354384970137972_4149153341355854383_n.jpgTranslation: A point is that which has no part.
(Euclid's Elements)Euclid defines it as "that whose part is zero", that is, a dot has no width, length or height
 
. while A=0
. A=A * 0

does not end, yes. However, this does not allow you to write ##\infty \cdot 0=0## because ##\infty \cdot## is simply not defined. It is like discussing the shoe size of Big Foot - meaningless.
 
fresh_42 said:
. while A=0
. A=A * 0

does not end, yes. However, this does not allow you to write ##\infty \cdot 0=0## because ##\infty \cdot## is simply not defined. It is like discussing the shoe size of Big Foot - meaningless.
for sure

if A=0 so 0=0*0

it s not what I'm saying...pls...here is what i say...

3 * 0 = 0 + 0 + 0 = 0;
 
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somok said:
think about geometry if you have more facilities :

View attachment 302718Translation: A point is that which has no part.
(Euclid's Elements)Euclid defines it as "that whose part is zero", that is, a dot has no width, length or height
 
somok said:
here is what i say...

3 * 0 = 0 + 0 + 0 = 0;

Well, we cannot fill our pages with trivia.

Thread closed.
 
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