Zero is an even, not odd, number.

I want to place this here, the first thing you will see when reading my argument:Zero does not have two as a factor; it cannot be expressed as a multiple of two. EVERY EVEN NUMBER DOES AND CAN.It is the most basic element of even numbers, that every single one of them can be divided into two equal halves.Zero, having no factors and no value, cannot be divided into two equal halves; it returns a null result, because there is nothing there to divide.Zero cannot be an even number.My opponent chose not to respond to this, or really to any of my arguments from the last section of my R2; but this is probably the most important part of my argument. I COULD say that by dropping this argument, my opponent has conceded the debate, but I would like to hear my opponent explain why zero should be the ONLY even number not expressible as a multiple of two; why the most basic rule of even numbers should be waived in zero's case.You know, along with all the other rules for even numbers that we'd have to make special exceptions for to shoehorn zero in. LIke how anything times an even number is another (larger!) even number, but anything times zero is nothing. Or how zero seems to follow (and break) the rules for odd numbers with equal facility as those for even. Or how no even number has zero as a fraction, while every even number is a factor to some higher even number. Now to deal with my opponent's case:1. What you are missing here is that zero does not change anything you add to it. The rule that applies here is not "Even + even = even, odd + odd = even, odd + even = odd;" the cases for addition with zero has it's own rule: "Anything +zero is itself."Even numbers add to even numbers to make larger even numbers. Odd numbers add to odd numbers and make larger even numbers. Odd numbers add to even numbers and make larger odd numbers.But anything that you add zero to remains the same. It doesn't grow, it doesn't shrink, and if it could be divided by two before the operation it can still be so divided. Zero lacks value, which is a necessary property for these rules for even numbers. 2. Zero's position as the null point, the beginning of the number line, doesn't strike you as something special? You really don't see any difference between the reference point common to all number lines/axis and, say, the position of 345 between 344 and 346?Your argument was "An even number is between two odd numbers on a number line." And yes, they do alternate. This happens to be the best argument you have for zero being even. If it weren't for the fact that zero's unusual position hints at it having unusual properties, and the fact that zero casually breaks all the other rules for even numbers, you might have a point here. Zero occupies a unique place as the null point; the first real number (1) logically has to be an odd number, but that does not necessarily make zero even. If anything, this position implies that zero is neither even nor odd.3 and 4. You cannot just handwave this. Saying "that does not negate that it is even." without any reasoning or justification isn't an argument; it's just a bald statement of your opinion. For this point and 4, you presume zero to be even. You effectively say, "Although zero does not fit the rules for even numbers here, that's ok; points one and two are enough, you can trust me when I tell you it's even."I provided logical arguments showing how zero does not fit the rules here, and why it is important; for you to dismiss these as irrelevant anomalies is not a defense of your case. You've effectively conceded these two points.To recap:Zero does not have two as a factor; it cannot be expressed as a multiple of two. Every even number has two as a factor, and can be expressed as a multiple of two.:. Zero is not an even number.even + even = larger evenanything + 0 = itself.:. Zero is not an even number.Number alternate odd and even.Zero occupies a unique place as the null point; the first real number (1) logically has to be an odd number, but that does not necessarily make zero even.Anything times an even number is a larger even number.Anything times zero is itself.:. Zero is not an even number.An odd number times an odd number is a larger odd number.Anything times zero is itself.:. Zero is not an odd number.Conclusion is obvious. I return the debate to my opponent.-C