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    Leibniz and subsequent rationalists held that finite mind... — Carmelics
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    Challenges→Real cognitive agents cannot fully represent the entire game they are in or reason to the end of the game.

    Leibniz and subsequent rationalists held that finite minds can grasp infinite structures through recursive rules, not exhaustive enumeration.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Humans understand infinite mathematical structures like natural numbers via recursive successor rules, not by enumeration.
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    • 2.Finite minds can grasp rules with infinite applications; we understand 'add 1' without grasping every sum.
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    • 3.Recursion enables comprehension of infinitude by finite minds through compact, rule-based representation.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Understanding a recursive rule differs from grasping infinite structures; rules are finite, structures are not.
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    • 2.Recursive knowledge remains formal/syntactic; true comprehension of actual infinity requires intuition beyond rules.
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    • 3.Infinite structures have properties not deducible from finite rules alone (e.g., uncountable infinities transcend recursion).
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    Connections

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    Consciousness & Mind1 linkedSkepticism1 linked

    Related

    Finite minds can grasp rules with infinite applications; we understand 'add 1' w...Humans understand infinite mathematical structures like natural numbers via recu...Infinite structures have properties not deducible from finite rules alone (e.g.,...Real cognitive agents cannot fully represent the entire game they are in or reas...
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    Recursion enables comprehension of infinitude by finite minds through compact, r...Recursive knowledge remains formal/syntactic; true comprehension of actual infin...Understanding a recursive rule differs from grasping infinite structures; rules ...

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    2 (1 for, 1 against)
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