.A while ago in the intellectual communities on Facebook there was a discussion in which someone came up with the idea that God necessarily needs to exist because only God could read (infinite) irrational numbers like pi. Another one countered that Gödel´s incompleteness theorem would allow that (i.e. that stuff exists that cannot be proven or verified). Somehow both assertions seem inadequate, but make you think about the nature of numbers (and mathematics) which is actually a mysterious and haunting subject. However, upon reflection, numbers simply express how quantifiable properties relate to each other. Out of an r you can construct a circle with pi, an ever more perfect circle with the more digits of pi you know, the perfect circle, constructed with infinite precision, cannot be constructed in a finite universe. Likewise, if you have a basket with two apples and want to have one with three, you can do that, with infinite precision, by adding one apple to the basket. Numbers, in themselves, are neither platonic nor are they real, they are virtualities / virtual entities.

I have thought about the continuum hypothesis, the orders of the infinite, the incompleteness theorem, whether the universe is a mathematical system or a logical syllogism a while ago. Some say that by applying logics they can see it all, and maybe that is true, nevertheless with logics you can construct pretty much anything of your liking (apart from that a logically correct conclusion need not be based on a correct assumption). Lots of stuff, for instance proofs of God, have been constructed with logic – but all of them can also be refuted by using logics (see, comprehensively, John Mackie´s The Miracle of Theism if you´re interested). Usually the philosophers and theologians coming up with their proofs of God were thinking that they did not prove the existence of God by using logic but, literally, that they were proving the necessary existence of God out of logic, although to every neutral observer it was apparent that there was something wrong, wobbly, uncanny in their proofs, although it is not necessarily easy to exactly tell what the problem is. Often it may require an entirely new heuristics, and for instance it took centuries to exactly tell what is wrong with Zeno´s paradoxa. Metaphysical questions may be undecidable, not least because they´re paradoxical in nature.