dominance has a specific meaning in game theory and I don't think that meaning was intended here.
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Given these values, the option of living as if God exists (B) dominates the option of living as if God does not exist (¬B), as long as one assumes a positive probability that God exists. In other words, the expected value gained by choosing B is greater than or equal to that of choosing ¬B. |
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Given these values, the option of living as if God exists (B) always has a greater [[expected value]] than the option of living as if God does not exist (¬B), as long as one assumes a positive probability that God exists. |
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In fact, according to decision theory, the only value that matters in the above matrix is the +∞ (infinitely positive). Any matrix of the following type (where f1, f2, and f3 are all negative or finite positive numbers) results in (B) as being the only rational decision. |
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In fact, according to decision theory, the only value that matters in the above matrix is the +∞ (infinitely positive). Any matrix of the following type (where f1, f2, and f3 are all negative or finite positive numbers) results in (B) as being the only rational decision. |