The preview for the X-Men movie has a voice-over saying: “In every human being . . . there is the genetic code . . . for mutation.” Apparently you can acquire all sorts of neat abilities by mutation. The mutant Storm, for example, has the ability to throw lightning bolts.
I beg you, dear reader, to consider the biological machinery necessary to generate electricity; the biological adaptations necessary to avoid being harmed by electricity; and the cognitive circuitry required for finely tuned control of lightning bolts. If we actually observed any organism acquiring these abilities in one generation, as the result of mutation, it would outright falsify the neo-Darwinian model of natural selection. It would be worse than finding rabbit fossils in the pre-Cambrian. If evolutionary theory could actually stretch to cover Storm, it would be able to explain anything, and we all know what that would imply.
The X-Men comics use terms like “evolution,” “mutation,” and “genetic code,” purely to place themselves in what they conceive to be the literary genre of science. The part that scares me is wondering how many people, especially in the media, understand science only as a literary genre.
I encounter people who very definitely believe in evolution, who sneer at the folly of creationists. And yet they have no idea of what the theory of evolutionary biology permits and prohibits. They’ll talk about “the next step in the evolution of humanity,” as if natural selection got here by following a plan. Or even worse, they’ll talk about something completely outside the domain of evolutionary biology, like an improved design for computer chips, or corporations splitting, or humans uploading themselves into computers, and they’ll call that “evolution.” If evolutionary biology could cover that, it could cover anything.
Probably an actual majority of the people who believe in evolution use the phrase “because of evolution” because they want to be part of the scientific in-crowd—belief as scientific attire, like wearing a lab coat. If the scientific in-crowd instead used the phrase “because of intelligent design,” they would just as cheerfully use that instead—it would make no difference to their anticipation-controllers. Saying “because of evolution” instead of “because of intelligent design” does not, for them, prohibit Storm. Its only purpose, for them, is to identify with a tribe.
I encounter people who are quite willing to entertain the notion of dumber-than-human artificial intelligence, or even mildly smarter-than-human artificial intelligence. Introduce the notion of strongly superhuman artificial intelligence, and they’ll suddenly decide it’s “pseudoscience.” It’s not that they think they have a theory of intelligence which lets them calculate a theoretical upper bound on the power of an optimization process. Rather, they associate strongly superhuman AI to the literary genre of apocalyptic literature; whereas an AI running a small corporation associates to the literary genre of Wired magazine. They aren’t speaking from within a model of cognition. They don’t realize they need a model. They don’t realize that science is about models. Their devastating critiques consist purely of comparisons to apocalyptic literature, rather than, say, known laws which prohibit such an outcome. They understand science only as a literary genre, or in-group to belong to. The attire doesn’t look to them like a lab coat; this isn’t the football team they’re cheering for.
Is there any idea in science that you are proud of believing, though you do not use the belief professionally? You had best ask yourself which future experiences your belief prohibits from happening to you. That is the sum of what you have assimilated and made a true part of yourself. Anything else is probably passwords or attire.
The Principle of explosion tells us that a if one supposes both truth and falsehood as base premises, one can derive any conclusion, by means of Propositional Logic theorems.
The intersection of a set with it's complement is the empty set.
A consistent isomorphism of ZF Set theory and Propositional Logic is achieved by letting truth be a non-empty set and falshood be an empty set. Then intersection becomes logical conjunction and complement with respect to the truth set becomes logical inversion.
Now, the reason I can argue for such things is actually backed up by Godel's incompleteness theorem. Propositional Logic and ZF Set Theory can both implement Peano Arithmetic, Bayesian Probability cannot. Thus Propositional Logic and ZF Set Theory are Complete but not Consistent, while Bayes is Consistent but not Complete.
argue for what things? I have no clue what the POE or Gtheorem have to do with komologrov provably assigning zero probability to contradictions.
What is the difference between exclusive outcomes and contradictions? How are they not the same mathematical object? If two exclusive outcomes end up resulting, you can also explode the universe.
For A to be exclusive with B, means that if A happened B did not. So: If A and B, then ~B and B, then B or P, then ~B, so P. The POE is not something unique to contradictions which exclusive outcomes lack.