The analogy that a mind is like a computer is just that, an analogy. It's used to present the high-level structure of the brain in a accessible, understandable way, not as a logical argument.
Actually, this analogy is the foundation of our modern understanding of the mind and is accepted by nearly all experimental Psychologists/Cognitive Scientists. It is certainly pervasive enough to be arguing against. Few of them seriously recognize its limitations.
This analogy is not the justification for why people believe that "the mind can be replicated on a computer". And yet the article tries to disprove the latter, deep and meaningful point by attacking the relatively superficial analogy between [current] computers and minds.
I think you're missing the point. No one cares whether the mind can be replicated on a computer. Researchers/theorists care about whether the mind is a computer. The solar system can be modeled on a computer, and yet there isn't an entire theoretical approach to astronomy predicated on uncovering the algorithms running on the solar system computer. This line of discussion about the capabilities of math and computation are beside the point.
Actually, this analogy is the foundation of our modern understanding of the mind and is accepted by nearly all experimental Psychologists/Cognitive Scientists. It is certainly pervasive enough to be arguing against. Few of them seriously recognize its limitations.
This analogy is not the justification for why people believe that "the mind can be replicated on a computer". And yet the article tries to disprove the latter, deep and meaningful point by attacking the relatively superficial analogy between [current] computers and minds.
I think you're missing the point. No one cares whether the mind can be replicated on a computer. Researchers/theorists care about whether the mind is a computer. The solar system can be modeled on a computer, and yet there isn't an entire theoretical approach to astronomy predicated on uncovering the algorithms running on the solar system computer. This line of discussion about the capabilities of math and computation are beside the point.