"one assumption only: the Universe obeys a set of rules"
This is still an "a priori synthetic judgement".
Why can't we attempt a theory of knowledge without any assumptions?
I do not see how this will affect the validity of science at all.
It will however get rid of the question around faith once and for all.
Before you go there you have to ask the question, "what does the question 'Is science faith-based' mean?"
Is math based on faith? According to one interpretation of the question,
yes. Because the entire structure of mathematics rests upon axioms that cannot be proven mathematically (the assumption that x = x). Then again, on the other hand, an axiom is self-evident. And so you could argue that math is not faith-based,
at least within the context of mathematics.
In fact, you can go DesCartes' route and say that mathematics rests upon the assumption that an "Evil Genius" isn't tricking us every step of the way with faulty logic that we think is correct logic.
But within the context of mathematics, I doubt you will find a mathematician or anyone competent within mathematics that will say that math is based upon anything other than rigorous logic.
As for science, the question of whether or not science is faith-based is one that lies outside of science in the first place. As is the question of whether or not our senses are perceiving any "true" data from the universe, or whether any "true" data can even be ascertained in any way, or whether the universe behaves in any way that can be modeled scientifically. None of these are in the domain of science. And I would say that science is not "based on" any of them. Science is based upon experimental data that can be analyzed and quantified.
Whether or not experimental data that can be analyzed and quantified exists is entirely independent of whether or not science exists, because science is nothing but a method of inquiry. In order for science to be carried out, then there must be something that can be examined, but it doesn't follow that the scientist must be in principle able to quantify something in nature to be doing science. The scientist could be forever doomed to fail in all his endeavors, yet still be doing science.
Of course, I am quite sure this is not where the thread is supposed to go, and I am a terrible armchair philosopher, so I'll let it lie here and look at it from a different angle.
During the scientific method, a scientist will make
hypotheses about something s/he observers. S/he will then formulate mathematical laws predicting the behavior of the system s/he is analyzing. At this point, you could argue that the scientist is having faith that his/her hypothesis is the best of all the possible hypotheses s/he could formulate given his/her knowledge of the system. But the scientific method continues, and the hypothesis is tested. Then when inevitably the hypothesis turns out to not be perfect, the scientist modifies the hypothesis. This process continues until the scientist's hypothesis matches the data in all cases to the degree that measurement capabilities allow.
Then, again, you could say faith comes into play: the scientist has faith s/he has formed a good theory. Not an absolutely correct one, however, since any good scientist will be aware that there will probably always be limits to any theory, as time has shown again and again that new testing leads to new modification of theory.
So, although science is not
based on faith, faith is not excluded from the scientific process in action.
Alright, I give up at the moment. Sorry for the extra boring post.
