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If I understand correctly, you are asking whether God created the universe for a purpose, or whether the universe has an intrinsic realization of purpose that arose by chance. Since we do not have any data about both of these assumptions, I beleive that we cannot assign any probabilities to them. So, the answer must be formulated in the context of religion or philosophy, not in a mathematical one.

On the other hand - mathematically speaking - if one of the 2 events can have a probability ex A) and the other B) has an undefined probability as you say - which I agree -, how can we compare a number with an undefined number?

If I understand correctly, you are asking whether God created the universe for a purpose, or whether the universe has an intrinsic realization of purpose that arose by chance. Since we do not have any data about both of these assumptions, I beleive that we cannot assign any probabilities to them. So, the answer must be formulated in the context of religion or philosophy, not in a mathematical one.

On the other hand - mathematically speaking - if one of the 2 events can have a probability ex A) and the other B) has an undefined probability as you say - which I agree - how can we compare a number with an undefined number?

If I understand correctly, you are asking whether God created the universe for a purpose, or whether the universe has an intrinsic realization of purpose that arose by chance. Since we do not have any data about both of these assumptions, I beleive that we cannot assign any probabilities to them. So, the answer must be formulated in the context of religion or philosophy, not in a mathematical one.

On the other hand - mathematically speaking - if one of the 2 events can have a probability ex A) and the other B) has an undefined probability as you say, how can we compare a number with an undefined number?

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If I understand correctly, you are asking whether God created the universe for a purpose, or whether the universe has an intrinsic realization of purpose that arose by chance. Since we do not have any data about both of these assumptions, I beleive that we cannot assign any probabilities to them. So, the answer must be formulated in the context of religion or philosophy, not in a mathematical one.

On the other hand - mathematically speaking - if one of the 2 events can have a probability ex A) and the other B) has an undefined probability as you say - which I agree - how can we compare a number with an undefined number?