Now if there was a logic stack exchange or mathematics stack exchange and if some one asks a logical question its not off topic.
Now what is this Hinduism? Just Vedas and Puranas?
Hinduism is filled with philosophical and logical scriptures. There are numerous granthas dealing with Pramana. Which deals with empiricism, logic and scriptures.
As much as phala jyotisha is Hinduism, the khagola shastra is also a part of Hinduism. The books like Brihat Samhita and other works contain both.
It's invalid and outright an attack on the Hindu spirit to just reduce it to belief scriptures. It invalidates all the works of logic and science done by our Purvacharyas.
One of the main schools of Hinduism was Nyaya, which could be literally interpreted as logic. And by saying using Logic and Science is off topic would be to discredit books like Tarka Sangraha, Khandana khadya etc.
The ancient Vaisheshikas, who have been extensively referred and refuted in Brahma Sutra Bhashya of Shri Adi Shankaracharya were literally Atomists giving various reasons for their positions. So the contents of Shareeraka Bhashya which refutes them on the basis of logic in the Avirodha Adhyaya is not Hindu? Really?
Hinduism = Philosophy + Logic + Emprical Observation + Revealations of Rishis and Yogis which are Scriptures + Itihasa.
By reducing it to only Scriptures and asking references even for logical questions is reducing Hinduism from its past glory into one of the mainstream faith based religion. If you continue this non sense one day you will be silent before the Atheist who will be backed by Science and when people en mass loose faith, like its happening in west, Hindus will be unable to answer anyone, they will parrot verses from Scriptures like Zakir Naik, without having any objectivity as to why anyone should trust those books.
To curb Logical and Scientific questions and resisting the integration of Modern Science and Hinduism and calling them off topic is an offfense to Hinduism.
Even the words heard from an ignorant person, if in themselves they be
fraught with sense, come to be regarded as pious and wise. In days of
old, Usanas said unto the Daityas this truth, which should remove all
doubts, that scriptures are no scriptures if they cannot stand the
test of reason.
Mahabharata Santi Parva Section CXLII
Even a hundred statements of sruti to the effect that fire is cold and
non-luminous won't prove valid. If it does make such a statement, its
import will have to be interpreted differently
-Adi Shankaracharya, Geetha Bhashya 18.66
"It is wrong to believe blindly. You must exercise your own reason and
Complete Works of Swami Vivekananda, Volume 1,