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Paz & Gorm & Oliver & some other friends are all perplexed about mathematics. They think it is huge, and so important that all philosophy should just conform itself to Maths. The problem is, while they know that any data or knowledge can at best be an approximation and a simplification and a relative truth, they mysteriously miss the relativeness of Maths. And it is a shame, too, that they are perplexed, because Maths is such a simple, solved issue.

Maybe it all boils down to this: They think they have no choice in Maths. That there is no option. Well, as for me i have options! Let me demonstrate:

2+2=5

Weee! Cool, ey? Didn’t get it? Let me do it again, pay attention this time!

2+2=198,340,918,383

We do have choice. It just so happens that, not giving ourselves those kinds of choices concerning addition we are allowed to solve differential equations. We sacrifice some choice to get some more choice in another place.

This isn’t even exclusivity of Maths. If you don’t give yourself the option of skipping gym every other day you get fitter, and thus your liberty gets enhanced. I could find examples of that almost everywhere.

And, at the same time, the capacity to completely disregard the rules whenever we so please is still with us. Not only that, it is vital for the development of Mathematics itself! For instance, when Gauss and Riemann simply disregarded the rules for parallel lines to create what is called non-euclidean geometries (which by the way were then used in General Relativity). Or zero. Calculus itself, as it squables in divide-by-zeros except it does not admit to doing it.

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