ordinal numbersXamonas Chegwé wrote:Addition is commutative over all number systems yet devised; ie. a + b = b + a. Good luck finding a counter-example - just one would bring the whole house of cards tumbling and have mathematicians running around for years trying to revise their entire science.
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Well played.Azathoth wrote:ordinal numbersXamonas Chegwé wrote:Addition is commutative over all number systems yet devised; ie. a + b = b + a. Good luck finding a counter-example - just one would bring the whole house of cards tumbling and have mathematicians running around for years trying to revise their entire science.
Well, I started from the simplest case I could imagine, to establish a concept that I believe can be expanded. If we lived in a space so warped, that our everyday triangles would not obey Pythagoras theorem (as explained by Xamonas above), if we could not in fact draw and measure triangles where the theorem applies, then we would not have Pythagoras theorem in it's present form. Or maybe it would exist, but it would would be an obscurity and not hold the very central position it has now.rEvolutionist wrote:All you are really saying there is that numbers are real. But as I said earlier, maths is about much more than just numbers.
It's close enough to do some very precise work with and in that sense it is a truth about the world we live in, but not an Absolute Truth about the physical world. In the majority of cases, it doesn't matter, but I think it is something to keep in mind. To keep us humble about what we think we know.MiM wrote:Well, I started from the simplest case I could imagine, to establish a concept that I believe can be expanded. If we lived in a space so warped, that our everyday triangles would not obey Pythagoras theorem (as explained by Xamonas above), if we could not in fact draw and measure triangles where the theorem applies, then we would not have Pythagoras theorem in it's present form. Or maybe it would exist, but it would would be an obscurity and not hold the very central position it has now.rEvolutionist wrote:All you are really saying there is that numbers are real. But as I said earlier, maths is about much more than just numbers.
He's taking a piss as in getting drunk, not evacuating the liquid.FBM wrote:10 minutes and counting. Helluva piss.
FBM wrote:10 minutes and counting. Helluva piss.
Which I just wiki'edAzathoth wrote:ordinal numbersXamonas Chegwé wrote:Addition is commutative over all number systems yet devised; ie. a + b = b + a. Good luck finding a counter-example - just one would bring the whole house of cards tumbling and have mathematicians running around for years trying to revise their entire science.
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