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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