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James Dodson

English mathematician and teacher (c. 1705–1757) who is the hinge of this vault's actuarial cluster: the man refused by the institution whose pricing he then made obsolete. Denied membership of the Amicable Society for exceeding its entry-age cap (claim-dodson-refused-amicable-society-over-age-45), he built on Halley's 1693 mortality work to design what is generally described as the first life-assurance scheme with premiums correctly scaled to the insured's age, presenting the method in a 1756 lecture (claim-dodson-built-age-scaled-premiums-founding-equitable-life). He died in 1757; the plan was carried through by others and chartered as the Society for Equitable Assurances in 1762.

The refusal is what makes him load-bearing rather than merely early. The Amicable used age as a pass/fail gate at the door and refused to use it as a rating variable, so the one variable it would not price was the one that excluded him. Walford's account resolves what had looked like a date conflict in the vault: the 1706 rules capped admission at 55, and the cap had been reduced to 45 by the period of Dodson's rejection, so both figures are real at different dates.

Whether the refusal actually caused the design, rather than merely preceding it, was the cluster's sharpest question, and it resolved on 2026-07-26 without being confirmed. The ODNB carries the causal story but hedges it — "It was said that he was denied admission ... and that this led him to advertise" — supplies no citation for it, and names Ogborn 1962 as its own first source; the Journal of the Institute of Actuaries review of Ogborn explains Dodson's motivation as vision plus mathematical capability and never mentions the Amicable. So the causation is reported tradition, not documented fact (claim-dodson-rejection-causation-is-reported-tradition-not-documented). This hub states the sequence and not the causation, deliberately.

The ODNB also fixes the date and place of his response — an advertisement calling interested parties to the Queen's Head, Paternoster Row, on 2 March 1756 — and records that his First Lecture on Insurances is unpublished, which closes the primary route the vault had been holding open. Two lineage details worth keeping: he studied under Abraham De Moivre, and his great-grandson was the logician Augustus De Morgan.

Note also what his success did not do: the Amicable went on charging a flat premium for another forty-five years after the Equitable opened, changing only under its 1807 charter (claim-amicable-society-adopted-age-graded-premiums-only-in-1807). Dodson ends the story of the method's invention, not the story of its adoption.

References

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