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Cake day: June 8th, 2024

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  • Math exists in the minds of humans, [not animals].

    This is incorrect. Every animal we’ve ever researched, including insects like bees, can do arithmetic.

    Anyway, not a single one of the examples you’ve given involves second-order reasoning. These are all prosaic interactions with the environment, which is how most animas (yes, including dumb humans) experience the world.

    First-order reasoning: “What is moral?” Second-order reasoning: “Do moral beliefs constitute knowledge claims?”

    First-order reasoning: “One plus one is two.” Second-order reasoning: “number theory is either inconsistent or incomplete.”

    First-order reasoning: “What does this word mean?” Second-order reasoning: “How do words connect with their meanings?”

    The examples I gave you are extreme, but to be fair so is your confusion.