Human brains depend on neurons and "neuronal arithmetic". In fact, their statements are merely "neuronal arithmetic" that gets converted to speech or writing that get imbued with semantic meaning when interpreted by another brain. And yet, we have no problem attributing dishonesty or knowledge to other humans.
Please provide references for formal & programmable specifications of "neuronal arithmetic". I know where I can easily find specifications & implementations of boolean algebra but I haven't seen anything of the sort for what you're referencing. Remember, if you are going to tell me my argument is analogous to reductionism of neurons to chemical & atomic dynamics then you better back it up w/ actual formal specifications of the relevant reductions.