Richard von Mises: Theory

“Equally possible cases do not always exist, e. g, they are not present in the game with a biased die, or in life insurance. Strictly speaking, the propositions of the classical theory are therefore no applicable to these cases.”

Richard von Mises

Third Lecture, Critical Discussion of the Foundations of Probability, p. 80
Probability, Statistics And Truth - Second Revised English Edition - (1957)

Life , Game

“Because certain elements of geometry have for a long time been included in the general course of education, every educated man is able to distinguish between the practical task of the land surveyor and the theoretical investigation of the geometer. The corresponding distinction between the theory of probability and statistics has yet to be recognized.”

Richard von Mises

Second Lecture, The Elements of the Theory of Probability, p. 32
Probability, Statistics And Truth - Second Revised English Edition - (1957)

Education , Time

“Apart from this older generation, there is scarcely a modern mathematician who still adheres without reservation to the classical theory of probability. The majority have more or less accepted the frequency definition.”

Richard von Mises

Third Lecture, Critical Discussion of the Foundations of Probability, p. 81
Probability, Statistics And Truth - Second Revised English Edition - (1957)

“We can only hope that statisticians will return to the use of the simple, lucid reasoning of Bayes's conceptions, and accord to the likelihood theory its proper role.”

Richard von Mises

Fifth Lecture, Applications in Statistics and the Theory of Errors, p. 159
Probability, Statistics And Truth - Second Revised English Edition - (1957)

Hope

“If the concept of probability and the formulae of the theory of probability are used without a clear understanding of the collectives involved, one may arrive at entirely misleading results.”

Richard von Mises

Fifth Lecture, Applications in Statistics and the Theory of Errors, p. 166
Probability, Statistics And Truth - Second Revised English Edition - (1957)

Understanding

“The theory of probability can never lead to a definite statement concerning a single event.”

Richard von Mises

Second Lecture, The Elements of the Theory of Probability, p. 33
Probability, Statistics And Truth - Second Revised English Edition - (1957)

“Mass phenomena to which the theory of probability does not apply are, of course, of common occurrence.”

Richard von Mises

Fifth Lecture, Applications in Statistics and the Theory of Errors, p. 141
Probability, Statistics And Truth - Second Revised English Edition - (1957)