R.D. was an exoteric writer. The whole God thing was just lip service to the backward spirit of the times.
The following is self-contradictory, by the way:
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If we can’t be sure that mathematics—pure logic itself—is correct due to possible miscalculations or faulty memory, how can we be certain that anything is real?
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Ultimately, we can at least confirm that something exists because thought itself is evidence of existence (Cogito, ergo sum).
If pure logic itself is incorrect, then there can be no reasoning like “X, therefore Y”. (This philosopheme then also applies to itself, though…)
Anyway, “why bother?” Well, you have to bother; you can’t not bother. Even just in order to kill yourself, you’d still have to bother. Even if you were to “try” to kill yourself by just not trying anymore, not moving anymore, people would come and keep you alive, at least until they’d moved you through the whole euthanasia trajectory (if that even exists in your country). And even more importantly, you yourself are a person: you yourself have all kinds of irrational life instincts. And the thing with the irrational is that you can’t reason it away.