Hi Olaf,
It is not that 1x0=0 and 0x1=0 that bothers me, what bothers me is the use of the character 0 in differing concepts.
For example, 10x2=20
0 represents nothing, yet it also represents a number depending on the context. If you can take away context where 0 always equals 0 and only 0. Then you can have Δ equals Δ and only Δ. This makes everything a lot more cohesive, and not having to derive its meaning based on context. At least it is much better for me anyway....
Logic is also in relation to how things may appear, if there is something the shape of a triangle in front of you, it is logical to assume that is a triangle even if it is surrounded by other shapes. It is clearly not a circle, oval, or square. Because there is no underlying context based on everything around it that you have to work out.
Even if you are not a fan of my Direcimal system, is there anything to it that you do actually like, or think could be useful? Or maybe something you would like to change (other than back to our current system)?
Thank you.