Because you try to see a difference where there is non. All geometries and all spaces obey the same basic math principles which can be reduced to numbers representing presence (=1) and absence (=0) of any object or any entity.

So, unless you can have THE SAME object to be in mutually EXCLUSIVE states: existing and non-existing at the same time, you'll end up with numbers and with mathematical properties of these numbers such as change (transformations) of some combinations and unchange (invariance) of other combinations - what we call physical universe(s). What is magic about it? And what is unusual about that all objects, laws and phenomena are mathematically related and mathematically follow from each other?

Why should the world with numerous (or one) mysterious gods (or unexplainable "divine orders" with unexplainable and UNOBSERVABLE ways of influensing our mathematical world) be less magic or more "natural" to you? Why do you INSIST that there are NO mathematical relationships between less fundamental and more fundamental phenomena on some level while there IS on ALL OTHER LEVELS known so far?

Again, you position is to place Zeus ("divine order" behind thunder (universe). Tomorrow we will discover that a thunder is a mathematical consequence of a big spark - what will you do with the Zeus? You will smartly SHIFT it behind the spark? Ok, hocus-pocus continues: Zeus does not make a thunder, thunder is a mathematical phenomena caused by spark, but now Zeus makes a spark. How? "By divine order" (no explanation). The day after tomorrow spark is explained as mathematical consequence of electric discharge - what will you do with Zeus then? Shift it to more "fundamental" level again? Claim that "now" Zeus "work duties" were reconsidered (by holy council of 12 apostoles) and he "was assigned" from now on to "separate electric charges" by his "divine powers". Again shortly after the mathematical reason for separation of charges is found - say, various terminal velocities for various radii (=capacitance) droplets and "divine powers" disappear as a soap bubble.

Do you follow the trend? So, where is Zeus ("divine order") now? And where will it be tomorrow?

• Mt.Olympus belongs in Greece - harvey1 - July 19, 2001 - 21:18 UTC
  • Math is ANYTHING existing. - alexander - July 20, 2001 - 19:07 UTC
    • Formal systems - harvey1 - July 20, 2001 - 20:01 UTC
    • Formal systems - harvey1 - July 20, 2001 - 20:01 UTC