By Todhunter, I. (Isaac)
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Additional resources for A History of the mathematical theory of probability from the time of Pascal to that of Laplace
ON COMBINATIONS. 87. THE theory of combinations is closely connected with the theory of probability; so that we shall find it convenient to imitate Montucla in giving some account of the writings on the former subject up to the close of the seventeenth century. 38. The earliest notice we have found respecting combinations is contained in Wallis's Algebra. as quoted by him from a work by William Buckley; see Wallis's Algebra 1693, page 489. Buckley was a member of King's College, Cambridge, and lived in the time of Edward the Sixth.
318. Leibnitii Opera Omnia, ed. Dutens, 29. In. his letter to Schooten which is printed at the beginning of the treatise Huygens refers to his predecessors in these words: Sciendum verb, quod jam pridem inter pralstantissimos toM Galli~ Geometras calculus hic agitatus fuerit, ne quis indebitam mihi primal inventionis gloriam hac in re tribuat. Huygens expresses a very high opinion of the importance and interest of the subject he was bringing under the notice of mathematicians. 30. The treatise is reprinted with a commentary in James Bernoulli's A r8 Oondectandi, and forms the first of the four mnot,1: HUYGENS.
Halley's table is in the following form: 1 2 3 4 1000 855 798 760 The left-hand number indicates ages and the right-hand number the corresponding number of persons alive. We do not feel confident of the meaning of the table. Montucla, page 408, understood that out of 1000 persons born, 855 attain to the age of one year, then 798 out of these attain to the age of two years, and so on. Daniel Bernoulli understood that the number. of infants born is not named, but that 1000 are supposed to reach one year, then 855 out of these reach two years, and so on.
A History of the mathematical theory of probability from the time of Pascal to that of Laplace by Todhunter, I. (Isaac)