Peregrinator Posted September 30, 2015 Share Posted September 30, 2015 I'm not sure what you mean by "logical implications" of those hypotheses.For example, the Hawking-Penrose theorems are not hypotheses but are a result of general relativity theory. If general relativity is true then so are the Hawking-Penrose theorems. Link to comment Share on other sites More sharing options...
cyclops Posted September 30, 2015 Share Posted September 30, 2015 If that is your attempt to compare religious belief systems to black holes, I appreciate your sense of humor. A theorem is inherently correct if it checks out mathematically. Theories are quite different. I'm not sure why the fact that a theorem is not a hypothesis is relevant to this topic. Link to comment Share on other sites More sharing options...
Peregrinator Posted October 2, 2015 Share Posted October 2, 2015 If that is your attempt to compare religious belief systems to black holes, I appreciate your sense of humor. A theorem is inherently correct if it checks out mathematically. Theories are quite different. I'm not sure why the fact that a theorem is not a hypothesis is relevant to this topic. I understand what a theorem is; my B.S. is in mathematics. But thanks for the lesson! I was trying to explain what I meant by "logical implications." The Hawking-Penrose theorems do "check out mathematically" but they are derived from the mathematics of general relativity. An analogy might be the Pythagorean Theorem. PT is true in Euclidean geometry but not in non-Euclidean geometry (in fact, it can be shown to be equivalent to the Fifth Postulate, so where the Fifth Postulate does not hold, neither does the Pythagorean Theorem, and vice versa, but I digress). Likewise, the Hawking-Penrose theorems would not hold in a non-relativistic system. Link to comment Share on other sites More sharing options...
cyclops Posted October 2, 2015 Share Posted October 2, 2015 (edited) You're very welcome. As for the digression, OK. So....please refresh my memory, what does that have to do with belief systems? Edited October 2, 2015 by cyclops Link to comment Share on other sites More sharing options...
Peregrinator Posted October 2, 2015 Share Posted October 2, 2015 A system of belief can have logical implications just as a theoretical system can. Link to comment Share on other sites More sharing options...
DuctTape Posted October 3, 2015 Share Posted October 3, 2015 Both begin with a premise, and the logical (mathematical) consequences can be derived. If the consequences are not supported by observation, one possibility is the premises were incorrect in part or in full. Link to comment Share on other sites More sharing options...
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