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If only "symbol manipulation" meant anything precise in algorithmic, statistical, or information-theoretic terms (contrast causal inference, for which @yudapearl et al provided precise distinctions). As it is, "symbol manipulation" is the AI/cogsci analog of intelligent design.
See my chapter 2 and 3 of Algebraic Mind for more detailed attempt at definitions, which has not been directly challenged.
Well, if you want it to be critically challenged, why not publish a paper with reviews in a conference or a journal? Did it occur to you that your claims maybe unchallenged because noone actually read your book?
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