I can perform symbolic calculations too. But most people have limited versions of this skill, and many people who don’t learn to think symbolically have full lives.
I think it is fair to say humans don’t naturally think in formal or symbolic reasoning terms.
People pattern match,
Another clue is humans have to practice things, become familiar with them to reason even somewhat reliable about them. Even if they already learned some formal reasoning.
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Higher level reasoning is always implemented as specific forms of lower order reasoning.
There is confusion about substrate processing vs. what higher order processes can be created with that substrate.
We can “just” be doing pattern matching from an implementation view, and yet go far “beyond” pattern matching with specific compositions of pattern matching, from a capability view.
How else could neurons think? We are “only” neurons. Yet we far surpass the kinds of capabilities neurons have.