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NowAgnostic
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Theists and atheists alike have offered evidential inductive (as opposed to claimed logical or metaphysical deductive proofs) arguments for and against the existence of God. For theists, an example is the fine-tuning of the universe. For atheists, an example is the evidential argument from evil. Both are nonsense. They involve inventing likelihoods out of thin air. The theist asks, what is the likelihood of a universe coming to exist by random chance with the physical constants fine-tuned for life? The atheist asks, what is the likelihood of there existing a logically necessary reason we don’t currently see for the existence of a certain evil.
And the answer is that both are undefined because there is an infinity of possible universes. If I tell you that I am picking an integer at random from the infinite set of possible integers and ask you what the likelihood is that the integer is positive, or negative, or even, or odd, the answer is undefined, even though it might seem intuitive that it should be 0.5. That is only because you would be using an “intuitive” way of taking the limit to infinity. But I can do it a different way, I match up 1 with -1 and -2, 2 with -3 and -4, 3 with -5 and -6, etc., all the way to infinity, and claim that there are two negative integers for every positive one, so the probability of a positive integer being picked is 1/3. No way is “right” - the answer is undefined. So therefore, asking any question about the “odds” of our type of universe existing from an infinite possible set is meaningless - the answer is undefined. This suffices for the theist argument. For the atheist argument the same argument holds with a little more detail. There is an infinity of universes in which a given evil exists. If there is an infinite subset of universes in which there is a logical reason for the evil, the same argument against likelihood holds. If there is only a finite subset of such universes, then the likelihood of ours being one is zero and we should have a logical disproof of God’s existence.
And the answer is that both are undefined because there is an infinity of possible universes. If I tell you that I am picking an integer at random from the infinite set of possible integers and ask you what the likelihood is that the integer is positive, or negative, or even, or odd, the answer is undefined, even though it might seem intuitive that it should be 0.5. That is only because you would be using an “intuitive” way of taking the limit to infinity. But I can do it a different way, I match up 1 with -1 and -2, 2 with -3 and -4, 3 with -5 and -6, etc., all the way to infinity, and claim that there are two negative integers for every positive one, so the probability of a positive integer being picked is 1/3. No way is “right” - the answer is undefined. So therefore, asking any question about the “odds” of our type of universe existing from an infinite possible set is meaningless - the answer is undefined. This suffices for the theist argument. For the atheist argument the same argument holds with a little more detail. There is an infinity of universes in which a given evil exists. If there is an infinite subset of universes in which there is a logical reason for the evil, the same argument against likelihood holds. If there is only a finite subset of such universes, then the likelihood of ours being one is zero and we should have a logical disproof of God’s existence.