Share full text access.

### Bibliographic Information

Please review our Terms and Conditions of Use and check box below to share full-text version of article. Citing Literature. Volume 23 , Issue 36 Pages Related Information.

Close Figure Viewer. Browse All Figures Return to Figure. Previous Figure Next Figure. Email or Customer ID.

## Mathematics | /sci/ Wiki | FANDOM powered by Wikia

Forgot password? Old Password. New Password. Password Changed Successfully Your password has been changed. He quickly developed this insight into a powerful and intuitively natural approach to mathematical analysis that he named nonstandard analysis.

## Dostęp do tej strony jest możliwy tylko z przeglądarki z włączoną obsługą JavaScript i casteczek.

Nonstandard analysis is one of the few innovations in logic that were entirely the work of a single individual. Not long before his death, Robinson collaborated with the number theorist Peter Roquette to apply model-theoretic methods in number theory. This work gave a first hint of the deep interactions between model theory and diophantine geometry that came to light in the s, sadly too late for Robinson to contribute. In fact, Robinson died before he could take on board the stability theory pioneered by Michael Morley and Saharon Shelah, though his students, Greg Cherlin and Carol Wood, did contribute to this field, bringing with them Robinson's lifelong eagerness to apply model theory to algebra, algebraic geometry , and mathematics in general.

## MODEL THEORY: ROBINSON

Though unable himself to believe in any kind of existence for infinite totalities, he strongly defended the right of mathematicians to proceed as if such totalities exist. His discussion Robinson of mathematical and epistemological considerations that favor one or another of the traditional views in philosophy of mathematics is thoughtful but seems not to reveal a thoroughly worked out position.

His anti-Platonistic attitude may have helped him to create nonstandard analysis by allowing him to be relaxed about what the "real" real numbers are. In Robinson's Selected Papers , the bibliography lists ten books, more than a hundred papers, and a film. One in seven of his papers are in wing theory and aeronautics. Dauben, Joseph W.

- 5 editions of this work!
- Regularity Results for Nonlinear Elliptic Systems and Applications.
- Folklore Theory in Postwar Germany?
- A Companion to Heideggers Introduction to Metaphysics.

Robinson, Abraham. Bar-Hillel, — Amsterdam, Netherlands: North-Holland, Introduction to Model Theory and to the Metamathematics of Algebra.

Selected Papers. Keisler et al. Cite this article Pick a style below, and copy the text for your bibliography.

taylor.evolt.org/map118.php September 22, Retrieved September 22, from Encyclopedia. Then, copy and paste the text into your bibliography or works cited list.

- Multi-Channel Strategies for Retail Financial Services: A Management-Framework for Designing and Implementing Multi-Channel Strategies.
- Astrophysics Through Computation: With Mathematica® Support?
- mathematics and statistics online!
- The Hidden Curriculum in Higher Education?
- Mathematics | /sci/ Wiki | FANDOM powered by Wikia.
- Introduction Metamathematics!

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia. Print this article Print all entries for this topic Cite this article.