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Some Account of James Dodson, F.R.S.

Published online by Cambridge University Press:  18 August 2016

Extract

No life has been written of the original projector of the Equitable Society, except in a column of the Biographie Universelle by M. Nicollet. Dodson's name was, and even still is, so familiar to the actuary, chiefly through the Mathematical Repository, and the impulse he gave to life-contingency problems, that this Journal is the proper place of deposit for what can be collected concerning him. The article above mentioned tells very little. He succeeded Hodgson [which should have been Robertson] in the chair of mathematics at Christchurch Hospital in 1756 [1755] and died November 23, 1757. He published the Antilogarithmic Canon, which others had contemplated [and executed too, but the manuscript was lost] and which he had the courage to execute up to a certain point [his table is the counterpart of Vlacq's largest direct table: five figures of argument and eleven of tabular result]. He could not balance the success of the ordinary tables: the writer doubts whether the table was ever used on the continent [he might have added, England: who uses either Vlacq or Dodson? Their tables are for help to other table-makers, and always were, though both of them intended more]. He published, the Calculator in 1747, a collection of tables at the end of which [say in the proper place in the middle] is an abridgment of the antilogarithmic table. But he is best known in England by his Mathematical Repository, and by his zeal for benevolent institutions [say his determination to found an assurance office to which himself should be admissible].

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1869

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References

page 350 note * There was in England an inveterate popular belief, without any foundation in law, that the declarations which made a marriage must be made before a person in orders, English or Roman. There is a great deal of confusion on this subject, in great part arising from not remembering that the marriage by declaration before witnesses, which was binding both civilly and ecclesiastically, was held irregular by the Church, and made the parties subject to spiritual censures and penances; and also to some statutory penalties, which were seldom or never enforced.

page 353 note * I use D and N because they enter in the demonstration as denominator and numerator. I suppose the D and N of our commutation tables were chosen by Griffith Davies from the part they play in the first of the results wanted, and the suggesting formula. But this never struck me until now; and perhaps never struck some of my readers.

page 363 note * In reply to a suggestion whether unmethodical would not be the preferable word, Mr. De Morgan writes:—“I mad e the word immethodical, upon the old analogy. Un is Saxon; and properly belongs to Saxon words, as unaware, unbeaten. In and Im are for Latin; though certainly the Saxon ha s intruded, as in ungovernable, unsophisticated, uncommon, &c. But the grea t bulk of our Latin words still keep im or in, according to the consonant which follows, as imperceptible, immense, innocent, and a crowd of others. On looking for immethodical in a little sixpenny Johnson of the stalls,—there it is. I generally consider the foreign dictionaries as good authoritie s as to English words: and in the French, German, and Italian which I keep at hand, I find the word in all. I find capricious cases; as unterminabl e and unterminated, indeterminate and undetermined (of which the mathematicians have availed themselves). Also insatiate and unsatiated. The rule seems t o be that when th e Saxon ed is at the end, the Saxon un shall be at the beginning; and Latin, Latin. This may be called the sandwich rule, if it be a rule. The end of it is that any one may do as he pleases, which is the glory of English.”—E D. J. I. A.

page 363 note † Francis Baily was a paragon of method he practised and enforced. I found him one day in the act of finishing a note, which h e showed me; it was before the time of prepaid letters. One of those tradesmen who, whe n a customer is a s good as the bank, persist in making a banker of him during convenience, would not send in his bill. The note ran as follows:—“(No. 1). Sir,—I beg you will oblige me by sending in your account forthwith. Yours, F. Baily PS. This notice will be repeated once a week until it is complied with.” No. 2 was not wanted: the tradesman declined to grant His Majesty an annuity of 8s. 8d, payable weekly.