The strongest argument in favour of Hinduism, in my opinion, is the concept of Karma and rebirth existing in Hinduism.
To understand more on this subject, please click: “The concept of Karma & Rebirth in Hinduism“
I believe karma and rebirth theory is very elaborate, exhaustive, very logical and convincing in Hinduism.
How does it compare with after-death-theories offered by Christianity and Islam? This detailed comparison is available in my reply to the following Question: