Symbolic and connectionist AI don't really refer to different kinds of making computers compute, but to different political camps among people who don't know how to build AI yet.
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Replying to @Plinz
Do you expect a supercategory that deflates the soi-disant differences between the two, or a more orthogonal rejection?
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Replying to @jpt401
Intelligence is the creation of models, that is, function approximation (often in the service of some regulation). Some functions are discrete and low dimensional enough to yield to symbolic operators, and many are not, and we have not discovered all the right approximators yet.
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I don't think that the search for function approximators should be done manually, it is itself a problem that yields to automatic function approximation. Eventually, AI might be the result of the automation of the search for meta-learners (which for our own minds was evolution).
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