Question
Philosophy of Science: If cosmology relies on mathematics so complex that only a few people understand it, how does it differ from theology?
Answer
This is a criticism commonly leveled against Superstring Theory and its approach to gravity. There are two books essentially accusing it of being theological rather than scientific in nature.
I reviewed them here a few years ago: http://www.ribbonfarm.com/2007/0...
It's not the mathematics being formidable that matters. Lots of science has equally forbidding mathematics (try solving the Navier-Stokes equations, which is Newton's Laws level stuff, for the general planetary weather system..). Most science cannot be understood by 99% of humanity. What matters is unfalsifiability.
You can have completely rigorously mathematical ideas that are unfalsifiable, and completely non-mathematical ideas that are falsifiable.
Math is orthogonal to a falsifiability-based notion of truth.
Theology can be mathematical. The most famous example is of course Pascal, who convinced himself that he should be religious via the following mathematical argument:
1. Either God, Heaven and Hell exist, or they do not. There is some probability associated with each case.
2. If they do, and I don't believe, Hell is infinitely painful, and has infinitely negative utility.
3. So no matter how small the probability that G/H/H exist, the infinite negative utility of non-belief, and the infinite positive utility of making it to heaven makes it rational to believe.
People have since refined this argument quite a lot. Mostly just for the hell of it.
I reviewed them here a few years ago: http://www.ribbonfarm.com/2007/0...
It's not the mathematics being formidable that matters. Lots of science has equally forbidding mathematics (try solving the Navier-Stokes equations, which is Newton's Laws level stuff, for the general planetary weather system..). Most science cannot be understood by 99% of humanity. What matters is unfalsifiability.
You can have completely rigorously mathematical ideas that are unfalsifiable, and completely non-mathematical ideas that are falsifiable.
Math is orthogonal to a falsifiability-based notion of truth.
Theology can be mathematical. The most famous example is of course Pascal, who convinced himself that he should be religious via the following mathematical argument:
1. Either God, Heaven and Hell exist, or they do not. There is some probability associated with each case.
2. If they do, and I don't believe, Hell is infinitely painful, and has infinitely negative utility.
3. So no matter how small the probability that G/H/H exist, the infinite negative utility of non-belief, and the infinite positive utility of making it to heaven makes it rational to believe.
People have since refined this argument quite a lot. Mostly just for the hell of it.