What pi's fine-tunedness illustrates is that some fine-tunedness is necessary, and not in the least "probabilistic." Pi cannot be any other value than what it is, exactly what it is, not even "a little bit" different from what it is exactly.
"Having circles" is not an optional feature of universes. Maybe in some universes, there would be nobody around to think about circles, or maybe there are thinkers, but circles don't interest them enough to think about them. No matter, pi is woven into the fabric of existence whether it is recognized or not, and whether circles are realized or not.
Einstein, who was a deist, believed in what appeared to him to be a mind or spirit distinct from the material universe itself. He recognized the issue of not knowing how much and what kinds of orderliness are necessary, to be a difficulty for his deist beliefs.
is, whether the requirement of logical simplicity leaves any freedom.
~ reported by Ernst G. Straus, in Carl Seelig (ed.), Helle ZeitóDunkle Zeit: In
Memoriam Albert Einstein (Europa Verlag, ZuŁrich, 1956), p.72
The inference from natural order to God depends on natural order being contingent rather than necessary or inevitable. Otherwise, you might argue the existence of God from the rich orderliness of number theory, when in fact, all of it is simply tautological.
Since it could not be other than it is, nobody could have placed the orderliness there. The margin of freedom, a choice for some entity to have made, is crucial for natural theology to discern a maker distinct from Nature itself. The urgency of this problem would plausibly have been especially apparent to a Spinozan like Einstein.
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Edited by eight bits, 04 April 2013 - 07:24 AM.