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It is not the case that Keynes's framework permits no learning from experience and thus cannot adequately justify analogical reasoning when negative analogy exists
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Reasons For
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Reason for
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1.
Keynes adopted a logical probability measure that permits no learning from experience
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2.
If there is a non-trivial negative analogy, the probability of the conclusion remains unchanged under Keynes's framework
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Reasons Against
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Reason against 1 of 2
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1.
Keynes treats probability as a purely logical relation between propositions, fixed by their content alone, independent of empirical updating.
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2.
Carnap's later inductive logic explicitly showed that purely logical probability systems require a continuum of lambda values to handle negative analogy, which Keynes's single framework cannot accommodate.
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3.
A probability measure that cannot shift its assignments in response to accumulated negative instances fails the basic Bayesian coherence condition that posteriors must differ from priors given relevant evidence.
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Reason against 2 of 2
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1.
Mill's methods of induction require that negative instances actively disconfirm analogical hypotheses, a dynamic process Keynes's static logical relations structurally prohibit.
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2.
When negative analogy exists, Keynes's framework assigns the same probability to the analogical conclusion as before those disanalogous instances were identified, rendering the negative analogy epistemically inert.
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