There is a sense in which belief in God is not logical, but not in the sense the non-believers mean. The philosopher V. V. Doniela argued that logic is not (as is often claimed) about correct thinking, but is actually about the structure of the world, which is reflected in our thought processes. Strictly speaking, he argued that it concerned laws of non-temporal cross sections of the world when the latter is seen as process; in effect, what Einstein termed world tubes, but that need not bother us here! Doniela agreed with a student suggestion that this implied that logic is only applicable to the macroscopic world and may not be relevant to the quantum realm. The quantum realm does seem illogical - for instance, it does not seem logical that an electron can be both a particle and a wave. Doniela is an atheist and, as such, does not believe in a spiritual realm, but I believe in such a realm and suggest that it is no more governed by the logic of the macroscopic familiar world than is the quantum realm. I accept that an electron is both a wave and a particle (even though this is against familiar-world logic) and I can equally accept that God is both a Unity and a Trinity, even though this goes against the logic of the macro world. But because our minds have been formed by the logic of the macro world, the different logic of both the quantum realm and the spiritual world seems illogical to us. These realms transcend logic as we now it!
Another issue raised by skeptics is that belief in God is (in their opinion) so strange that it requires very strong evidence which, they assume, does not exist. But there are many, many, instances of people who have been directed by God to contact a stranger only to find that the contact has had vital consequences for either the person being directed or the one to whom s/he was directed. That such encounters could be random is of such low probability as to strongly imply genuine direction by an omniscient Intelligence. Indeed, it would be irrational to accept any other explanation. A true skeptic, to be consistent, should think deeply about this. If these experiences are considered with the seriousness they deserve, it is clear that belief, not unbelief, is the more rational position.
Another issue raised by skeptics is that belief in God is (in their opinion) so strange that it requires very strong evidence which, they assume, does not exist. But there are many, many, instances of people who have been directed by God to contact a stranger only to find that the contact has had vital consequences for either the person being directed or the one to whom s/he was directed. That such encounters could be random is of such low probability as to strongly imply genuine direction by an omniscient Intelligence. Indeed, it would be irrational to accept any other explanation. A true skeptic, to be consistent, should think deeply about this. If these experiences are considered with the seriousness they deserve, it is clear that belief, not unbelief, is the more rational position.