questfortruth
Well-Known Member
Introduction:
My contribution:
Suppose Dr. Gödel is wrong. In such case the probability to find [given unlimited research time and resources] the first way to prove the Riemann Hypothesis is perfect 100%. After that somebody will look for the second way to prove Riemann Hypothesis, like there are some people today, who look for "one page proof" of Fermat's Last Theorem. But because the number of ways to prove something is limited [surely, one can imagine infinite non-equivalent ways to prove the Pythagorean theorem during the infinite long development of science, but, there is non-vanishing probability, that there are or will be some theorems or hypothesises, which will never have infinite many proofs], then the probability to find the second proof of Riemann Hypothesis is less than 100%. But because the second way of proving Riemann Hypothesis could have been the first instead of the second, then it is wrong to assign to every first proof the perfect 100% probability. Therefore, the Dr. Gödel must be right.
Evidence: in 2020AD there are several ways to prove the Pythagorean Theorem, but only one way to prove the Fermat's Last theorem. Theorems with infinite ways of proving are not known yet.
Application to Astrobiology:
Same line of reasoning could tell us, that even having perfect conditions for life on an Earth-like planet, one does not have perfect 100% probability of abiogenesis.
Application to Theology: because there is gap between Absolute Truth and proof, then:
1. There must be God, who holds the Truth: e.g, Physics is incomplete without Metaphysics.
2. God is Spirit of Absolute Truth, because He knows all about Riemann Hypothesis even without any proofs.
My contribution:
Suppose Dr. Gödel is wrong. In such case the probability to find [given unlimited research time and resources] the first way to prove the Riemann Hypothesis is perfect 100%. After that somebody will look for the second way to prove Riemann Hypothesis, like there are some people today, who look for "one page proof" of Fermat's Last Theorem. But because the number of ways to prove something is limited [surely, one can imagine infinite non-equivalent ways to prove the Pythagorean theorem during the infinite long development of science, but, there is non-vanishing probability, that there are or will be some theorems or hypothesises, which will never have infinite many proofs], then the probability to find the second proof of Riemann Hypothesis is less than 100%. But because the second way of proving Riemann Hypothesis could have been the first instead of the second, then it is wrong to assign to every first proof the perfect 100% probability. Therefore, the Dr. Gödel must be right.
Evidence: in 2020AD there are several ways to prove the Pythagorean Theorem, but only one way to prove the Fermat's Last theorem. Theorems with infinite ways of proving are not known yet.
Application to Astrobiology:
Same line of reasoning could tell us, that even having perfect conditions for life on an Earth-like planet, one does not have perfect 100% probability of abiogenesis.
Application to Theology: because there is gap between Absolute Truth and proof, then:
1. There must be God, who holds the Truth: e.g, Physics is incomplete without Metaphysics.
2. God is Spirit of Absolute Truth, because He knows all about Riemann Hypothesis even without any proofs.
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