Thünen distinguished between insurable and
uninsurable risk, so the basic idea was known in
1850; Thünen writes, "there exists no insurance
company that will cover all and every risk
connected with a business. A part of the risk
must always be accepted by the entrepreneur"
(1960 edition, p. 246). Knight refers to Thünen
in Part I, Chapter II of Risk, Uncertainty, and
Profit, as well as the economists A. H. Willett
and A. S. Johnson, both (according to Knight)
students of J. B. Clark. Knight characterizes
their books (Willett, Economic Theory of Risk and
Insurance, 1901; Johnson, Rent in Modern Economic
Theory, 1902) as on the right track, but
incomplete; while they recognize the distinction
between insurable and uninsurable risks, they
treat the latter as "known" quantities.
The frequentist approach to probability was also
emerging around the time of Knight's treatise.
Richard von Mises's distinction between "class
probability" and "case probability" appears most
clearly in his Probability, Statistics, and
Truth, published in 1939, but the basic idea (I
think) appeared in a 1919 article by Mises.
Keynes's Treatise on Probability, published the
same year as Knight's book, also has a chapter on
frequentism, which might have some useful references.
Peter Klein
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