BuffettIs 1 divided by 0 undefined or infinity?

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The discussion centers on whether dividing one by zero results in an undefined value or infinity. Participants argue that division by zero is fundamentally undefined in the real number system, while limits can provide context for approaching zero. Some suggest that division by zero could be viewed as indefinite or uncertain, depending on the mathematical framework used. The conversation also touches on the implications of defining division and the contradictions that arise when attempting to assign a value to 1/0. Ultimately, the consensus leans towards the conclusion that 1/0 cannot be defined within standard mathematical structures.

1 divided by zero=?

  • Undefined

    Votes: 8 61.5%
  • Infinity

    Votes: 2 15.4%
  • Other(explain):

    Votes: 3 23.1%

  • Total voters
    13
  • Poll closed .
  • #31
master_coda said:
Your definition of division is not the same as the definition of division on the real numbers.

i guess you're implying the irrational numbers. i was not willing to expand the algoritm for non-integer results. i have never given any irrational number input. if you mean the non-integer results.. well, here it goes:

let A and B two reel numbers. subtract B from A until A is bigger or equal to zero, and add 1 to the division at each step. after this process, if A is negative, undo the one step. multiply A with 10 (or what ever the step is) and add 10^{-1} to the result after each subraction. repeat these steps until A=0, and decrement the power of 10 (to generalize, base) by 1.

however, i'd like to point that the original question is integer-wise, and this definition was uncessary.
 
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  • #32
fdarkangel said:
i guess you're implying the irrational numbers. i was not willing to expand the algoritm for non-integer results. i have never given any irrational number input. if you mean the non-integer results.. well, here it goes:

let A and B two reel numbers. subtract B from A until A is bigger or equal to zero, and add 1 to the division at each step. after this process, if A is negative, undo the one step. multiply A with 10 (or what ever the step is) and add 10^{-1} to the result after each subraction. repeat these steps until A=0, and decrement the power of 10 (to generalize, base) by 1.

however, i'd like to point that the original question is integer-wise, and this definition was uncessary.

But you attempted to extend the algorithm to try and divide by zero. Once you do that, the algorithm is no longer giving the same results as real number division.
 
  • #33
it does, for integer results.
i expanded the algorithm to generalize. basics of both division methods are same. the initial explanations i made about 1/0 and 0/0 are still correct. please don't be so pedantic, the interger-only algorithm is consistent and sufficient enough to explain 1/0.
 
  • #34
fdarkangel,

Again, you are wrong. Master_coda is correct. Your algorithm is, basically, junk.

Either way, this thread is just a rehash of many other similar threads here. We don't need another thread with the same arguments from the same people.

Thread closed.

- Warren
 

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