Question: Does your religion permit you to question or logically inquire into the existence or nature of your god, or is doubting your god’s existence forbidden? If it is forbidden, do you consider it cruel for that god to not provide any type of measurable proof of his or her existence? –GlitchCog
Answer: The Quran specifically states that do not accept anything in your religion or the religion itself without asking questions and being convinced that they are indeed true. So yes it definitely encourages us to question religion: however there is just one "correct" answer and that is the existence of one Allah. You may say that this argument is fallacious and hypocritical – because the only way to salvation is to agree and accept Islam no matter how strong your questioning is. For any faith to succeed one has to accept the unacceptable as fact and overlook any minor ‘crinkles’, the same is true of all religions. :)
As for measurable proof – the biggest proof that God has given us of His existence is us. How can anyone create something out of nothing? Its the ultimate question – where did we come from? This in itself points to the existence of a higher being. Now … is that higher being a "good" being or a "bad" being? That’s where all religious people take a leap of faith and say God is Good.
These leaps of faith are exactly why religion as a subject has never reconciled itself with philosophy otherwise what is stopping religion from being but a branch of that school of thought? Religion can be taken to be a statement that is not philosophically verifiable. –Muhammed