Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.
We will never fully explain the world by appealing to something outside it that must simply be accepted on faith, be it an unexplained God or an unexplained set of mathematical laws.
A theoretical system does not merely state facts which have been observed and that logically deducible relations to other facts which have also been observed.
Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles, which cannot be proved and have no need of proof.
You can prove anything you want by coldly logical reason---if you pick the proper postulates.
Science has faith. We make postulates. We can't prove those postulates, but we have faith in them.
Postulates are based on assumption and adhered to by faith. Nothing in the Universe can shake them.
The logic of the world is prior to all truth and falsehood.
The more reasonable a student was in mathematics, the more unreasonable she was in the affairs of real life, concerning which fewtrustworthy postulates have yet been ascertained.
