interminable
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U made me laugh!While I respect what you are saying here, it is somewhat disingenuous for him to use an argument that can easily be (and has been) refuted a hundred times before. The fact that he does not understand the refutation should not cause him to use the same argument again and again.
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Unfortunately the analogy is wrong. In your analogy there still remains a time when neither A nor B is running. However a beginningless system (A,B) where
1) A is running because B is running
2) B is running because A is running
will have no first moment where either A or B was stationary. It neither has nor requires an initial condition. In mathematics and in real life, an infinite series or a set is a fundamentally different category of entity than a finite series or a set. Unless you understand this, you will be stuck.
I will add to this. Very simply a binary system (A,B) where
1) A runs when B runs and
2) B runs when A runs
will have two stable configurations.
Configuration one is when both A and B are stationary for infinity.
Configuration two is when both A and B are running for infinity.
Both are perfectly stable and consistent configurations. Your logical mistake is to believe that somehow the state of rest must be a more natural state than the state of movement, and hence configuration two must have a beginning point. This is false. Both configurations (A,B at rest) and (A,B are running) are beginningless and endless configurations and are mutually exclusive. They cannot transform from one to the other and they have no beginning or initial condition. Both configuration one and configuration two are perfectly possible ways (A,B) can exist and neither is more likely than the other.
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Impossibility of infinite regress is an evident concept . Even it doesn't need to use logic to prove its impossibility . But atheists need to reject it . Otherwise they may prove the existence of God