Isaac Newton as a Probabilist

@article{Stigler2006IsaacNA,
  title={Isaac Newton as a Probabilist},
  author={Stephen M. Stigler},
  journal={Statistical Science},
  year={2006},
  volume={21},
  pages={400-403}
}
  • S. Stigler
  • Published 1 August 2006
  • Physics
  • Statistical Science
In 1693, Isaac Newton answered a query from Samuel Pepys about a problem involving dice. Newton's analysis is discussed and atten tion is drawn to an error he made. On November 22, 1693, Samuel Pepys wrote a let ter to Isaac Newton posing a problem in probability. Newton responded with three letters, first answering the question briefly, and then offering more informa tion as Pepys pressed for clarification. Pepys (1633 1703) is best known today for his posthumously pub lished diary covering… 

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References

SHOWING 1-10 OF 20 REFERENCES

Newton and the classical theory of probability

  • O. Sheynin
  • Philosophy
    Archive for history of exact sciences
  • 1970
Newton's predecessors and his influence upon subsequent scholars are dealt with, beginning with his predecessors the discussion continues with his contemporaries Arbuthnot and De Moiver, then Bentley and the section ends with Laplace, whose determinism is seen as a development of the Newtonian determinism.

Never at rest. A biography of Isaac Newton

mendable enthusiasm and praiseworthy humility. His object has been to present to his fellow neurologists, especially those entering the speciality, certain topics that he judges to be important,

John Smith’s Problem

In the autumn of 1693 the Writing Master of Christ’s Hospital, one John Smith, asked Samuel Pepys the diarist, who was a Governor of Christ’s Hospital and eventually became its Vice-President, for

Algebra: an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges

THE work before us is the realization of the hope with which we concluded our notice of the first part (NATURE, vol. xxxiv. p. 614).Algebra: an Elementary Text-book for the Higher Classes of

Games, gods and gambling

Pepys , Newton , and Bernoulli trials . Reader observations on recent discussions , in the series Questions and answers

  • Amer . Statist .
  • 1961

Bell and Sons, London. [This is the fullest reprinting. The portion of this correspondence directly with Newton is fully reprinted in Turnbull

  • J. Pepys Cockerell
  • 1926

The Newton handbook