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Does the definition of division by zero in Wheel theory actually make sense?
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I came across this question : Will Division by Zero be Defined Eventually?
and was very surprised that there is a theory, called Wheel theory, which tries to make the division by zero meaningful.
Must this theory be taken serious ?
Googling Wheel theory was not very enlightening. If I understand right , $frac10$ is considered to be an additional element, like the point of infinity. But I cannot see how the theory deals with the usual issues occuring. In particular, multiplying the additional element with $0$ could be any number because $frac10$ and $frac20$ , for example lead to the same element, right ?
Can anyone shed some light on this strange theory ?
reference-request soft-question
edited Aug 2 at 13:35
Somos
10.9k1831
asked Aug 2 at 11:36
Peter
44.9k938119
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show 1 more comment
up vote
3
down vote
favorite
I came across this question : Will Division by Zero be Defined Eventually?
and was very surprised that there is a theory, called Wheel theory, which tries to make the division by zero meaningful.
Must this theory be taken serious ?
Googling Wheel theory was not very enlightening. If I understand right , $frac10$ is considered to be an additional element, like the point of infinity. But I cannot see how the theory deals with the usual issues occuring. In particular, multiplying the additional element with $0$ could be any number because $frac10$ and $frac20$ , for example lead to the same element, right ?
Can anyone shed some light on this strange theory ?
reference-request soft-question
edited Aug 2 at 13:35
Somos
10.9k1831
asked Aug 2 at 11:36
Peter
44.9k938119
You could give a reference...
– Lord Shark the Unknown
Aug 2 at 11:37
@LordSharktheUnknown Basically, I only found this article : en.wikipedia.org/wiki/Wheel_theory
– Peter
Aug 2 at 11:38
I guess you should start from the two papers cited on Wikipedia: this and this.
– Taroccoesbrocco
Aug 2 at 11:47
2
It all looks rather futile to me: multiplying $1/0=2/0$ by $0$ will lead to $0/0=0/0$ and $0/0$ is the new "number" that's used as a dump for meaningless expressions...
– Lord Shark the Unknown
Aug 2 at 11:47
@LordSharktheUnknown I don't see any meaningful definition either. But in the article in Wikipedia, no doubts or critic is mentioned. So, you also disagree with the "perfectly well-defined division by zero", as mentioned in the linked question, right ?
– Peter
Aug 2 at 11:50
 |Â
show 1 more comment
up vote
3
down vote
favorite
up vote
3
down vote
favorite
I came across this question : Will Division by Zero be Defined Eventually?
and was very surprised that there is a theory, called Wheel theory, which tries to make the division by zero meaningful.
Must this theory be taken serious ?
Googling Wheel theory was not very enlightening. If I understand right , $frac10$ is considered to be an additional element, like the point of infinity. But I cannot see how the theory deals with the usual issues occuring. In particular, multiplying the additional element with $0$ could be any number because $frac10$ and $frac20$ , for example lead to the same element, right ?
Can anyone shed some light on this strange theory ?
reference-request soft-question
edited Aug 2 at 13:35
Somos
10.9k1831
asked Aug 2 at 11:36
Peter
44.9k938119
I came across this question : Will Division by Zero be Defined Eventually?
and was very surprised that there is a theory, called Wheel theory, which tries to make the division by zero meaningful.
Must this theory be taken serious ?
Googling Wheel theory was not very enlightening. If I understand right , $frac10$ is considered to be an additional element, like the point of infinity. But I cannot see how the theory deals with the usual issues occuring. In particular, multiplying the additional element with $0$ could be any number because $frac10$ and $frac20$ , for example lead to the same element, right ?
Can anyone shed some light on this strange theory ?
reference-request soft-question
edited Aug 2 at 13:35
Somos
10.9k1831
asked Aug 2 at 11:36
Peter
44.9k938119
edited Aug 2 at 13:35
Somos
10.9k1831
edited Aug 2 at 13:35
Somos
10.9k1831
edited Aug 2 at 13:35
Somos
10.9k1831
10.9k1831
asked Aug 2 at 11:36
Peter
44.9k938119
asked Aug 2 at 11:36
Peter
44.9k938119
asked Aug 2 at 11:36
Peter
44.9k938119
44.9k938119
You could give a reference...
– Lord Shark the Unknown
Aug 2 at 11:37
@LordSharktheUnknown Basically, I only found this article : en.wikipedia.org/wiki/Wheel_theory
– Peter
Aug 2 at 11:38
I guess you should start from the two papers cited on Wikipedia: this and this.
– Taroccoesbrocco
Aug 2 at 11:47
2
It all looks rather futile to me: multiplying $1/0=2/0$ by $0$ will lead to $0/0=0/0$ and $0/0$ is the new "number" that's used as a dump for meaningless expressions...
– Lord Shark the Unknown
Aug 2 at 11:47
@LordSharktheUnknown I don't see any meaningful definition either. But in the article in Wikipedia, no doubts or critic is mentioned. So, you also disagree with the "perfectly well-defined division by zero", as mentioned in the linked question, right ?
– Peter
Aug 2 at 11:50
 |Â
show 1 more comment
You could give a reference...
– Lord Shark the Unknown
Aug 2 at 11:37
@LordSharktheUnknown Basically, I only found this article : en.wikipedia.org/wiki/Wheel_theory
– Peter
Aug 2 at 11:38
I guess you should start from the two papers cited on Wikipedia: this and this.
– Taroccoesbrocco
Aug 2 at 11:47
2
It all looks rather futile to me: multiplying $1/0=2/0$ by $0$ will lead to $0/0=0/0$ and $0/0$ is the new "number" that's used as a dump for meaningless expressions...
– Lord Shark the Unknown
Aug 2 at 11:47
@LordSharktheUnknown I don't see any meaningful definition either. But in the article in Wikipedia, no doubts or critic is mentioned. So, you also disagree with the "perfectly well-defined division by zero", as mentioned in the linked question, right ?
– Peter
Aug 2 at 11:50
You could give a reference...
– Lord Shark the Unknown
Aug 2 at 11:37
You could give a reference...
– Lord Shark the Unknown
Aug 2 at 11:37
@LordSharktheUnknown Basically, I only found this article : en.wikipedia.org/wiki/Wheel_theory
– Peter
Aug 2 at 11:38
@LordSharktheUnknown Basically, I only found this article : en.wikipedia.org/wiki/Wheel_theory
– Peter
Aug 2 at 11:38
I guess you should start from the two papers cited on Wikipedia: this and this.
– Taroccoesbrocco
Aug 2 at 11:47
I guess you should start from the two papers cited on Wikipedia: this and this.
– Taroccoesbrocco
Aug 2 at 11:47
2
2
It all looks rather futile to me: multiplying $1/0=2/0$ by $0$ will lead to $0/0=0/0$ and $0/0$ is the new "number" that's used as a dump for meaningless expressions...
– Lord Shark the Unknown
Aug 2 at 11:47
It all looks rather futile to me: multiplying $1/0=2/0$ by $0$ will lead to $0/0=0/0$ and $0/0$ is the new "number" that's used as a dump for meaningless expressions...
– Lord Shark the Unknown
Aug 2 at 11:47
@LordSharktheUnknown I don't see any meaningful definition either. But in the article in Wikipedia, no doubts or critic is mentioned. So, you also disagree with the "perfectly well-defined division by zero", as mentioned in the linked question, right ?
– Peter
Aug 2 at 11:50
@LordSharktheUnknown I don't see any meaningful definition either. But in the article in Wikipedia, no doubts or critic is mentioned. So, you also disagree with the "perfectly well-defined division by zero", as mentioned in the linked question, right ?
– Peter
Aug 2 at 11:50
 |Â
show 1 more comment
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You could give a reference...
– Lord Shark the Unknown
Aug 2 at 11:37
@LordSharktheUnknown Basically, I only found this article : en.wikipedia.org/wiki/Wheel_theory
– Peter
Aug 2 at 11:38
I guess you should start from the two papers cited on Wikipedia: this and this.
– Taroccoesbrocco
Aug 2 at 11:47
2
It all looks rather futile to me: multiplying $1/0=2/0$ by $0$ will lead to $0/0=0/0$ and $0/0$ is the new "number" that's used as a dump for meaningless expressions...
– Lord Shark the Unknown
Aug 2 at 11:47
@LordSharktheUnknown I don't see any meaningful definition either. But in the article in Wikipedia, no doubts or critic is mentioned. So, you also disagree with the "perfectly well-defined division by zero", as mentioned in the linked question, right ?
– Peter
Aug 2 at 11:50