This argument will be based on pure rationality. This is going to be a bit "wordy" so please try to genuinely understand the argument. Here it goes:
Lets define god as a being which no greater being can be conceived of. I will now assume god does not exist and see if there are any contradictions (proof by contradiction).
If I can conceive of a being that is greater than a being which no greater being can be conceived of, then I can conceive of a being that is greater than a being which no greater can be conceived of- namely I can conceive of a being than which no greater can be conceived of.
I can not conceive of a being greater than a being than which no greater being can be conceived. Hence, a being than which no greater can be conceived exists (because if it did not exist we would have a contradiction).
I would love hearing what you say to this and if you have problems comprehending the verbiage I'm happy to help.
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