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Equation 1 · Prepared Fears: How Evolution Biased What the Mind Learns to Dread

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ΔV=α (λ−V)\Delta V = \alpha \,(\lambda - V)

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Inputs and operationsα (λ - V)
Result or conditionΔ V
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ΔV\Delta V

Symbol Δ V

Δ V is part of the quantity the equation computes from the expression on the right.

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α\alpha

Symbol α

a learning-rate parameter governing how much of the gap between the two is closed on a given trial.

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λ\lambda

Symbol λ

the asymptotic strength that outcome supports.

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VV

Symbol V

the current associative strength between a stimulus and an outcome.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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subtraction

subtraction

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

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change

change

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

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What the article says around this equation

The evidence assembled here fits inside a formulation more modest than “an evolved fear module” and, for that reason, more resilient to the objections just described. Treat ordinary associative learning as a single general mechanism, and treat what evolution supplies not as a separate circuit but as a prior on that mechanism’s own parameters. A standard error-correction rule for associative strength states the update on each learning trial as ΔV=α (λ−V)\Delta V = \alpha \,(\lambda - V). where V is the current associative strength between a stimulus and an outcome, λ\lambda is the asymptotic strength that outcome supports, and α\alpha is a learning-rate parameter governing how much of the gap between the two is closed…
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The evidence assembled here fits inside a formulation more modest than “an evolved fear module” and, for that reason, more resilient to the objections just described. Treat ordinary associative learning as a single general mechanism, and treat what evolution supplies not as a separate circuit but as a prior on that mechanism’s own parameters. A standard error-correction rule for associative strength states the update on each learning trial as ΔV=α (λ−V)\Delta V = \alpha \,(\lambda - V). where V is the current associative strength between a stimulus and an outcome, λ\lambda is the asymptotic strength that outcome supports, and α\alpha is a learning-rate parameter governing how much of the gap between the two is closed on a given trial. Preparedness theory’s defensible empirical content, on the evidence gathered across the last five sections, is that α\alpha is not one constant shared by every stimulus category — it runs higher for a narrow, evolutionarily recurrent set of categories, including snakes, spiders, and disease cues, than for flowers, mushrooms, geometric shapes, or, evidently, automobiles and wall sockets, which acquire an associated fear only rarely and typically only after a directly aversive personal encounter. Framed this way, the claim is about one parameter of one general mechanism varying by category, not about a dedicated circuit that bypasses general learning altogether, and it is correspondingly easier to state a condition that would falsify it: a category-level learning-rate difference that shrinks to nothing once other variables are properly controlled would refute it directly, in a way the vaguer language of “modules” is harder to pin down enough to refute at all.

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