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On a letter of Pascal to Fermat. (À propos d’une lettre de Pascal à Fermat.) (French) Zbl 1067.01004

The author considers Pascal’s letter of 24.8.1654 to Fermat concerning the problem of points (of determining the division of stakes in an interrupted game). The game ends after one gambler wins the agreed number of sets. The maximal possible number of sets still left can also be considered. However, as Pascal noted, in case of three gamblers two of them can “win”; example: with score 4:3:3, this can happen in the remaining three possible sets. The author perceives here a general philosophical principle which can somehow help to discern the “choses angéliques” and the “choses plates et communes” in the Scripture.

MSC:

01A45 History of mathematics in the 17th century

Keywords:

P. Fermat; B. Pascal

Biographic References:

Fermat, Pierre; Pascal, Blaise