That doesn't necessarily mean that its truth is totally impossible. But it does suggest that it needs to meet a more demanding burden of proof.
... and part of this burden of proof rests on the person who is demanding the proof.
The Buddha advised the Kalamas:
"So, as I said, Kalamas: 'Don't go by reports, by legends, by traditions, by scripture, by logical conjecture, by inference, by analogies, by agreement through pondering views, by probability, or by the thought, "This contemplative is our teacher." When you know for yourselves that, "These qualities are skillful; these qualities are blameless; these qualities are praised by the wise; these qualities, when adopted & carried out, lead to welfare & to happiness" — then you should enter & remain in them.'
The Buddha gave them quite a bit of work that they would have to do on their own before they would attain to certainty.
It's an absolutely crucial question.
Note that in reply to Dyw I have provided a link to a thread I have posted earlier. That thread puts that statement into context.
You've been attacking atheism pretty aggressively. But I'd guess that you would probably advocate a stout atheism yourself, when it comes to every religion, god or divinity that isn't your own. (Though you're pretty cagey about revealing precisely which god that is. Not that it matters a whole lot.)
As I have noted a few times already, I do not consider myself a theist, nor a proponent of a particular religious tradition.
We seem to be faced with some religious-choice alternatives:
1. All gods don't exist. No divinities exist. In which case the atheists are correct and your attempts to batter them are misguided.
2. All gods don't exist except for the one that does. Now we are faced with Dywyddyr's issue that you dismissed as "useless", the problem of explaining how and why the atheists are wrong about the one true god, while they are still right in every other instance.
3. Multiple gods exist and multiple gods don't. Not only is monotheism unlikely to approve of this one, it still leaves us denying the existence of some gods atheist-style while claiming that the atheists are nevertheless wrong in other instances. That almost cries out for a criterion of choice.
4. Or all gods and divinities, conceivable or inconceivable, whether actually attested in mythology or not, all exist equally and without exception. This seems to be the direction in which you're headed, intentionally or not. This position does finally get rid of those damn atheist arguments as well as the "useless" problem of religious choice. But in so doing it does a great deal of violence to just about every religious tradition, to say nothing of logical consistency. Religious beliefs often appear to be inconsistent with each other.
I am well-familiar with all that. After much struggle with this line of inquiry, I have come to more and more focus on the meta-aspects of this inquiry, so I shall borrow two more suttas to reply with:
Ven. Sariputta said: "All those who ask questions of another do so from any one of five motivations. Which five?
"One asks a question of another through stupidity & bewilderment.
One asks a question of another through evil desires & overwhelmed with greed.
One asks a question of another through contempt.
One asks a question of another when desiring knowledge.
Or one asks a question with this thought,[1] 'If, when asked, he answers correctly, well & good. If not, then I will answer correctly [for him].'
*
"There are these four ways of answering questions. Which four?
There are questions that should be answered categorically [straightforwardly yes, no, this, that].
There are questions that should be answered with an analytical (qualified) answer [defining or redefining the terms].
There are questions that should be answered with a counter-question.
There are questions that should be put aside.
These are the four ways of answering questions."
*
So which is it that drives one's questions and the answers one gives?
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