Another proof that dividing by 0 does not exist — is it right? The Next CEO of Stack OverflowProof that $Bbb Z$ has no other subring than itselfHelp understanding this proof - sqrt(2) is irrationalProof for uniqueness for ideal multiplicationMy proof that an n digit number, times an n digit number can be expressed as a 2n digit numbershowing that no repunit is a square - proof verificationUsing induction, prove that $(3^2^n -1)$ is divisible by $2^n+2$ but not by $2^n+3$.Proof that $sqrt2$ is irrationalProof that no group of order $525$ is simpleIs my proof that this limit does not exist correct?Proof of infinitude of the number of primes of the form $4k+1$
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Another proof that dividing by 0 does not exist — is it right?
The Next CEO of Stack OverflowProof that $Bbb Z$ has no other subring than itselfHelp understanding this proof - sqrt(2) is irrationalProof for uniqueness for ideal multiplicationMy proof that an n digit number, times an n digit number can be expressed as a 2n digit numbershowing that no repunit is a square - proof verificationUsing induction, prove that $(3^2^n -1)$ is divisible by $2^n+2$ but not by $2^n+3$.Proof that $sqrt2$ is irrationalProof that no group of order $525$ is simpleIs my proof that this limit does not exist correct?Proof of infinitude of the number of primes of the form $4k+1$
$begingroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-verification
edited 50 mins ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-verification
edited 50 mins ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
add a comment |
$begingroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-verification
edited 50 mins ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-verification
proof-verification
edited 50 mins ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 50 mins ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 50 mins ago
Shaun
9,903113684
edited 50 mins ago
Shaun
9,903113684
edited 50 mins ago
Shaun
9,903113684
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
463
463
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
add a comment |
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 2 hours ago
ArthurArthur
121k7121208
$endgroup$
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 2 hours ago
ShaunShaun
9,903113684
$endgroup$
4
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
|
show 1 more comment
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
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active
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votes
active
oldest
votes
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 2 hours ago
ArthurArthur
121k7121208
$endgroup$
add a comment |
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 2 hours ago
ArthurArthur
121k7121208
$endgroup$
add a comment |
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 2 hours ago
ArthurArthur
121k7121208
$endgroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 2 hours ago
ArthurArthur
121k7121208
answered 2 hours ago
ArthurArthur
121k7121208
answered 2 hours ago
ArthurArthur
121k7121208
answered 2 hours ago
ArthurArthur
121k7121208
121k7121208
add a comment |
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 2 hours ago
ShaunShaun
9,903113684
$endgroup$
4
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
|
show 1 more comment
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 2 hours ago
ShaunShaun
9,903113684
$endgroup$
4
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
|
show 1 more comment
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 2 hours ago
ShaunShaun
9,903113684
$endgroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 2 hours ago
ShaunShaun
9,903113684
edited 2 hours ago
answered 2 hours ago
ShaunShaun
9,903113684
answered 2 hours ago
ShaunShaun
9,903113684
answered 2 hours ago
ShaunShaun
9,903113684
9,903113684
4
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
|
show 1 more comment
4
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
1
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
4
4
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
2 hours ago
1
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
2 hours ago
1
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
2 hours ago
1
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
2 hours ago
1
1
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
23 mins ago
|
show 1 more comment
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
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$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago