This question is considered by many philosophers to be one of the irresolvable conundrums. Essentially, it cannot be known absolutely whether God exists or not. Indeed, philosophically, the proper position to take may be agnosticism.
However, religion has played a significant role in human life to date, being manifested in a variety of ways. Today, atheism is widely considered to be the smart position to hold, with many claiming it to be superior to belief.
Faith is mocked as staunch belief in an entity for which there isn’t a shred of evidence: worse, it is akin to advocating the existence of fairies or Santa Claus. Here though there is a category error: fairies and Santa Claus demonstrably belong in the realm of childhood and most people, adults and children, know what they are and look like.
This is not true of God. Islam rejects any possibility of representing Allah and Judaism used Yahweh to signify God, originally not a name, rather an unpronounceable collection of letters. Christianity has given God a human face in Christ, but even then that is only an aspect of God who is ineffably greater.
The point is that while atheists could be correct, there is no objective way of establishing the case one way or the other, it is as much a belief system as theism, both being faiths profoundly held. It often seems the God atheists vehemently do not believe in is not a God theists do.
Agnostics draw a perfectly reasonable conclusion by recognising that neither contrary position can be verified. However, this does not prevent people from drawing another reasonable conclusion from their own observations and experiences.
The universe, possibly a multiverse, is a dynamic system operating by comprehensible laws. While chance does play its part, the cosmos is not just an agglomeration of random events. Is there purpose in creation? Human beings know there is at least purpose in their own lives, therefore purpose can be shown to be a factor.
This leads some to posit a Prime Mover or Grand Designer, which is not to suggest some human-like being on a grander scale. Both phrases can be picked apart if they’re taken literally, but accepting the limitations of language to describe what may always lie beyond human comprehension, they can be used indicatively.
Deism adopts this provisional position, provisional because it cannot be absolute and desist make no such claim to infallibility. They may also prefer the Latin Deus to the Greek Theas, to differentiate themselves from previous considerations and speculations about the divine.
So, does God exist? For deists, Deus does.
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