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originally posted by: neoholographic
Here's what Godel said:
So the following disjunctive conclusion is inevitable: Either mathematics is incompletable in this sense, that its evident axioms can never be comprised in a finite rule, that is to say, the human mind (even within the realm of pure mathematics) infinitely surpasses the powers of any finite machine, or else there exist absolutely unsolvable diophantine problems of the type specified . . . (Gödel 1995: 310).
This is important because it shows the separation between intelligence and consciousness.
Consciousness can't be computed but intelligence can. This means consciousness is something that's non material but can interact with and influence what we call the material brain.
Godel's theorem's are actually strong evidence for a Creator Consciousness that exists outside of the universe.
Undecidability of a statement in a particular deductive system does not, in and of itself, address the question of whether the truth value of the statement is well-defined, or whether it can be determined by other means. Undecidability only implies that the particular deductive system being considered does not prove the truth or falsity of the statement.
Godel's incompleteness theorem is simple yet profound. It simply says nothing can be proven or explained within itself.
originally posted by: neoholographic
Eventually AI trying to explain things to us will be like if we tried to explain the geometry of an ant hill to an ant. So we will have to merge our brains with AI. Here's an image from Google's Deep Dream.
Is it trying to tell us that it's beginning to see all things?
originally posted by: Aazadan
originally posted by: Lightworth
a reply to: neoholographic
Didn't watch the video, but I still see nothing that addresses the anomalous, unexpected, unexplained etc. Or please let me know what specifically I'm missing if applicable. How extremely ironic it is that so much of science AS WE KNOW IT is basically just a fancier, more scholarly version of the old (and particularly monotheistic) religions, which believes itself to have all the answers. Same arrogance, new packaging, or at least in a strong enough sense. Am not saying there is no validity in what you present, just that it doesn't cover absolutely everything.
Check out Godel's Incompleteness Theorem. Basically, it asserts that there are truths in the universe that are true but cannot be proven. It's a real issue in computing.
originally posted by: neoholographic
Eventually AI trying to explain things to us will be like if we tried to explain the geometry of an ant hill to an ant. So we will have to merge our brains with AI. Here's an image from Google's Deep Dream.
Is it trying to tell us that it's beginning to see all things?
OK, these Al guys need to unplug the computer brain and focus on creating an algorithm or mechanism for the AI to explain why it makes certain decisions and a way for the human user can correct the problem with new information
originally posted by: PDP11
a reply to: D8Tee
There's a group called "The Brotherhood" in some book. The AI selects who can run for president. One of the requirements is that the candidate absolutely can NOT want the job.
originally posted by: neoholographic
Again, you have an AI explosion and Researchers don't really understand how it's happening
It says that there are truths in certain mathematical systems that cannot be proven (in a specific and restricted definition of 'proven' which is a small subset of what humans mean by this linguistically) from finite operations of algorithms in certain deductive formal systems. Humans have the ability to alter what they mean by the formal systems they accept and what they mean by 'proven' to accommodate new mathematics. Take, for instance, calculus.