Although I agree with the title of this thread, i.e. Analytical thinking affects *religious* belief, note my emphasis on the word 'religious'. I would suggest that true analytical think opens up the possibility to a 'supreme being' but not *God* in a religious sense. It all depends on whether a dogmatic assumption of the concept of 'sentience' is taken rather than an objective approach, which kind of goes against the grain of analytical thinking anyway.
An interesting question related to this is whether macro systems may be considered sentient if the micro systems are. If this is the case then the
question of scale comes into play. If scalability is viable then we have to consider whether the universe is sentient and your are left with the
question of what that means in terms of 'belief' systems and the concept of a supreme being which is the product of all that is contained within the
macro system at the highest level.