Please either find the mistake in this logic, or find the false premise:
1. God created free agents
2. Free agents have the potential to do evil, e
3. Potential has a non-zero probability, p, where 0<p<1
4. Therefore, over infinite time, the probability of a free agent to perform evil approaches 1 [Let t represent time, then P(e)=1-(p')^t, ∴ P(e)=1 as t→∞]
5. Therefore God created free agents knowing they would create evil
6. It was impossible for free agents to remain sinless
7. Therefore God is 100% responsible for evil
8. Therefore God created evil
SOLVED: FAULT FOUND IN PREMISE #4
As a free agent develops in their relationship with God, they are less likely to do evil. The probability of doing evil is then a decreasing exponential function approaching zero. For example, we might arbitrarily choose p=e^-t as t→∞ and t>0 (e=natural log, not to be confused with e=evil).
The equation when taking the complement of p is then:
P(e)=1-(1-e^-t)^t as t→∞ and t>0
And this approaches 0, not 1.
1. God created free agents
2. Free agents have the potential to do evil, e
3. Potential has a non-zero probability, p, where 0<p<1
4. Therefore, over infinite time, the probability of a free agent to perform evil approaches 1 [Let t represent time, then P(e)=1-(p')^t, ∴ P(e)=1 as t→∞]
5. Therefore God created free agents knowing they would create evil
6. It was impossible for free agents to remain sinless
7. Therefore God is 100% responsible for evil
8. Therefore God created evil
SOLVED: FAULT FOUND IN PREMISE #4
As a free agent develops in their relationship with God, they are less likely to do evil. The probability of doing evil is then a decreasing exponential function approaching zero. For example, we might arbitrarily choose p=e^-t as t→∞ and t>0 (e=natural log, not to be confused with e=evil).
The equation when taking the complement of p is then:
P(e)=1-(1-e^-t)^t as t→∞ and t>0
And this approaches 0, not 1.
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