A number divided by zero has l00l.

My opponent's response now is that ordinary mathematics (such as "if a/b=c then c*b=a") do not apply to his proposition because both infinity and zero are odd fellows. With respect, my opponent wants to have it "both ways". He wants to have his cake and eat it too (for want of a better expression). You see, division is defined as follows: "To divide a number a by another number b is to find a third number c such that the product of b and c is a, that is, b ï¿½ c = a. The number a is called the dividend, the number b is called the divisor, and the number c is called the quotient. The operation of dividing may be denoted by a horizontal or diagonal slash separating the dividend and divisor (with the dividend on top), or by a horizontal dash with a dot above and below it placed between the dividend and divisor."(http://www.mathacademy.com...) "A basic arithmetical operation determining how many times one quantity is contained within another. " (http://www.mathpropress.com...) "In mathematics, especially in elementary arithmetic, division is an arithmetic operation which is the inverse of multiplication." (wikipedia) "Mathematics The operation of determining how many times one quantity is contained in another; the inverse of multiplication. " (American Heritage Dictionary at www.dictionary.com) All the above definition are, in my submission the same in effect. They say that division is the inverse of multiplication. Therefore by definition if a/b=c then c*b=a. Any position inconsistent with that is not a division. Now of course, my opponent is free to devise a new mathematical system. Indeed, he is free to devise a system where 1+1=3. There is nothing to stop him from that. However, he has not stipulated in his first round or in his resolution that he has some new unknown meaning of "division" in mind and has not provided any new definition. Therefore, on one hand, he proposes that we apply standard mathematics (the very process of division) to a division by zero and hence obtain the result "infinity". On the other hand, he claims that division by zero is not subject to standard mathematics. He has not provided any evidence or reasoning to support this latter contention, other than simply agreeing that standard mathematics cannot apply to his proposition because standard mathematics would not support it. On an intuitive level, we can imagine division as this: By dividing one number by another we work out how many of the latter will exactly fit in the former. How many zeroes will make number x? "Infinity of zeroes" we hear my opponent shout. And yet we know that zero multiplied by any number at all gives us.... big fat zero. That's because an infinitely big set of nothings is still full of nothing. Again, this is intiuitive thinking based on standard mathematics. I am aware that my opponent will challenge this by saying that he's already contended that standard maths do not apply to his proposition. However, I still wanted to put this reasoning here just to assist those who might prefer a more practical approach to purely theoretical maths. BOTTOM LINE I conclude that my opponent's resolution cannot succeed because the result he obtains from his process is contradictory to the very definition of the process (the process being division).