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    Mary Williams successfully axiomatized the theory of natu... — Carmelics
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    Challenges→We need to rethink the cognitive status of the theory of natural selection.

    Mary Williams successfully axiomatized the theory of natural selection using Bertalanffy's set-theoretic methods, yielding genuine synthetic theorems.

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    Reasons For

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    • 1.Formal axiomatization can clarify hidden assumptions in evolutionary theory and reveal logical gaps that intuitive reasoning obscures.
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    • 2.Bertalanffy's set-theoretic framework successfully formalized other biological systems, suggesting its application to selection is methodologically sound.
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    • 3.New synthetic theorems derived from axioms would demonstrate that the formalization captures essential features of selection, not merely reformulating existing knowledge.
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    Reasons Against

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    • 1.Natural selection's core explanatory power rests on mechanisms (mutation, drift, differential reproduction) that may resist set-theoretic reduction without loss of explanatory content.
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    • 2.Williams' work lacks widespread adoption or citation in mathematical biology, suggesting the axiomatization either failed to generate novel insights or faced unresolved technical problems.
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    • 3.Axiomatizing biology requires empirically grounded parameters; purely formal theorems risk being logically valid but biologically vacuous without independent confirmation.
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    Related

    Axiomatizing biology requires empirically grounded parameters; purely formal the...Bertalanffy's set-theoretic framework successfully formalized other biological s...Formal axiomatization can clarify hidden assumptions in evolutionary theory and ...Natural selection's core explanatory power rests on mechanisms (mutation, drift,...
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    New synthetic theorems derived from axioms would demonstrate that the formalizat...We need to rethink the cognitive status of the theory of natural selection.Williams' work lacks widespread adoption or citation in mathematical biology, su...

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