Non-Archimedean Probabilities



Pioneer Journal where reappraisal appeared Title Link to article containing reappraisal
Robinson Mat. Stud. "On mathematical realism and the applicability of hyperreals" 19d
Robinson Philosophia Mathematica "Infinite lotteries, spinners, and the applicability of hyperreals" 21b
Robinson Philosophia Mathematica "Internality, transfer, and infinitesimal modeling of infinite processes" 21c
Robinson Antiquitates Mathematicae "History of Archimedean and non-Archimedean approaches to uniform processes: Uniformity, symmetry, regularity" 24a

Abraham Robinson's infinitesimals can be used to ensure the regularity of probabilities associated with infinite processes, enabling in particular the computation of conditional probabilities relative to events that have zero chance in Archimedean probability theories.

Some nay-sayers:


Critic Venue where rebuttal appeared Link to article/venue containing rebuttal
Kenny Easwaran Notices of the American Mathematical Society 14a
Kenny Easwaran Mat. Stud. 19d
Matthew W. Parker Antiquitates Mathematicae 24a
Alexander Pruss Philosophia Mathematica 21b
Alexander Pruss Philosophia Mathematica 21c
Alexander Pruss Antiquitates Mathematicae 24a
Henry Towsner Mat. Stud. 19d





See also
Videos
Fermat
Leibniz
Euler
Cauchy
Riemann
Cantor
Klein
Robinson
Nelson
Hrbacek
Kanovei
Infinitesimal topics
More on infinitesimals
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