Abraham Robinson
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Most Influential Person Across History
American mathematician
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Mathematics
Why Is Abraham Robinson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Abraham Robinson was a mathematician who is most widely known for development of nonstandard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics. Nearly half of Robinson's papers were in applied mathematics rather than in pure mathematics.
Abraham Robinson's Published Works
Published Works
- Non-standard analysis (1966) (900)
- Introduction to model theory and to the metamathematics of algebra (1964) (200)
- Elementary properties of ordered abelian groups (1960) (142)
- Solution of an invariant subspace problem of K (1966) (102)
- Random-Access Stored-Program Machines, an Approach to Programming Languages (1964) (102)
- Function Theory on Some Nonarchimedean Fields (1973) (97)
- Completing theories by forcing (1970) (94)
- Nonstandard exchange economies (1975) (74)
- On the motion of small particles in a potential field of flow (1956) (64)
- COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (1956) (64)
- Infinite Forcing in Model Theory (1971) (63)
- Forcing in Model Theory (1975) (61)
- On the metamathematics of algebra (1963) (52)
- On the finiteness theorem of Siegel and Mahler concerning diophantine equations (1975) (50)
- A Result on Consistency and its Application to theTheory of Definition (1956) (49)
- Selected papers of Abraham Robinson (1978) (45)
- On ordered fields and definite functions (1955) (42)
- The Metaphysics of the Calculus (1967) (42)
- Model theory and algebra : a memorial tribute to Abraham Robinson (1975) (39)
- On Languages Which are Based on Non-Standard Arithmetic (1963) (38)
- Mathematical Interpretation of Formal Systems (1957) (38)
- A limit theorem on the cores of large standard exchange economies. (1972) (38)
- The Cores of Large Standard Exchange Economies (1974) (34)
- Compactification of groups and rings and nonstandard analysis (1970) (28)
- On generalized limits and linear functionals. (1964) (26)
- Solution of a problem of Tarski (1959) (26)
- Non-Standard Theory of Dedekind Rings (1967) (22)
- On the notion of algebraic closedness for noncommutative groups and fields (1971) (22)
- Metamathematical Considerations On The Relative Irreducibility Of Polynomials (1955) (21)
- The nonstandard λ:φ24(x): model. I. The technique of nonstandard analysis in theoretical physics (1972) (20)
- Concerning Progress In The Philosophy Of Mathematics (1975) (20)
- On the Application of Symbolic Logic to Algebra (1953) (19)
- From a formalist's point of view (1969) (16)
- Nonstandard analysis and philosophy (1979) (15)
- Contributions to Non-Standard Analysis (1972) (14)
- Mixed Problems for Hyperbolic Partial Differential Equations (1955) (14)
- Inductive theories and their forcing companions (1972) (14)
- Model Theory and Non-Standard Arithmetic. (1970) (13)
- Metamathematical problems (1973) (13)
- A note on topological model theory (1974) (13)
- RELATIVE MODEL-COMPLETENESS AND THE ELIMINATION OF QUANTIFIERS1 (1958) (12)
- Ordered Differential Fields (1973) (12)
- Further remarks on ordered fields and definite functions (1956) (12)
- Some problems of definability in the lower predicate calculus (1957) (12)
- Completeness and persistence in the theory of models (1956) (11)
- Nonstandard points on algebraic curves (1973) (11)
- Elementary embeddings of fields of power series (1970) (9)
- Nonstandard Arithmetic and Generic Arithmetic1 (1973) (9)
- Local differential algebra (1960) (8)
- Multiple Control Computer Models (1967) (8)
- Note on a problem of L. Henkin (1956) (8)
- On predicates in algebraically closed fields (1954) (7)
- A Basis for the Mechanization of the Theory of Equations (1959) (7)
- Note on An Embedding Theorem for Algebraic Systems (1955) (7)
- Review: Alfred Tarski, Robert L. Vaught, Arithmetical Extensions of Relational Systems (1967) (6)
- Obstructions to arithmetical extension and the theorem of Łoś and Suszko (1959) (6)
- Ordered Structures and Related Concepts (1955) (6)
- Algebraic Function Fields and Non-Standard Arithmetic (1972) (5)
- Numbers and ideals (1965) (5)
- Review: A. Seidenberg, A New Decision Method for Elementary Algebra (1957) (5)
- A note on embedding problems (1962) (5)
- The nonstandard λ:φ24(x): model. II. The standard model from a nonstandard point of view (1972) (5)
- Recent Developments in Model Theory (1966) (5)
- COMPLEX FUNCTION THEORY OVER NON-ARCHIMEDEAN FIELDS (1962) (3)
- TRANSIENT STRESSES IN BEAMS OF VARIABLE CHARACTERISTICS (1957) (3)
- The characterization of algebraic plane curves (1947) (3)
- On the representation of Herbrand functions in algebraically closed fields (1957) (2)
- Review: Michael O. Rabin, Classes of Models and Sets of Sentences with the Intersection Property (1967) (2)
- Model theory and algebra (1979) (2)
- Outline of an Introduction to Mathematical Logic I (1958) (2)
- Local partial differential algebra (1963) (2)
- Modern mathematics and the secondary schools (1962) (2)
- Review: Harold Jeffreys, Scientific Inference (1964) (1)
- Review: N. D. Gautam, The Validity of Equations of Complex Algebras (1958) (1)
- Selected Papers of Abraham Robinson.: Model Theory and Algebra (1982) (1)
- Seidenberg A.. A new decision method for elementary algebra. Annals of mathematics , ser. 2 vol. 60 (1954), pp. 365–374. (1957) (1)
- Review: A. Newell, J. C. Shaw, H. A. Simon, Empirical Explorations of the Logic Theory Machine: A Case Study in Heuristic (1962) (1)
- Review: A. Newell, J. C. Shaw, Programming the Logic Theory Machine (1962) (1)
- On the Independence of the Axioms of Definiteness (Axiome Der Bestimmtheit) (1939) (1)
- Solution of a problem by Erdös-Gillman-Henriksen (1956) (1)
- Jeffreys Harold. Scientific inference. Second edition of VII 175(9). Cambridge University Press, Cambridge 1957, viii + 236 pp. (1964) (1)
- Review: Andrzej Mostowski, Thirty Years of Foundational Studies (1968) (1)
- Chang C. C.. On unions of chains of models. Proceedings of the American Mathematical Society, vol. 10 (1959), pp. 120–127. (1960) (1)
- JSL volume 33 issue 2 Cover and Front matter (1968) (0)
- Ax James. On the undecidability of power series fields. Proceedings of the American Mathematical Society, vol. 16 (1965), p. 846. (1971) (0)
- Numbers and ideals : an introduction to some basic concepts of algebra and number theory (1965) (0)
- JSL volume 34 issue 2 Cover and Front matter (1969) (0)
- Alf Ross. Definition in legal language. Logique et analyse (Louvain), n.s. vol. 1 (1958), pp. 139–149. (1960) (0)
- Review: A. I. Mal'cev, J. N. Whitney, Regular Products of Models (1969) (0)
- Review: Hugo Ribeiro, The Notion of Universal Completeness (1962) (0)
- Kreisel G.. Foundations of intuitionistic logic. Logic, methodology and philosophy of science, Proceedings of the 1960 International Congress , edited by Nagel Ernest, Suppes Patrick, and Tarski Alfred, Stanford University Press, Stanford, Calif., 1962, pp. 198–210. (1965) (0)
- Review: Leon Henkin, Mathematical Foundations for Mathematics (1974) (0)
- Ajdukiewicz Kazimierz. Three concepts of definition. Logique et analyse (Louvain), n.s. vol. 1 (1958), pp. 115–126. (1960) (0)
- Peremans W.. Some theorems on free algebras and on direct products of algebras. Simon Stevin , vol. 29 (1952), pp. 51–59. (1955) (0)
- RESEARCH IN THE AREA OF MATHEMATICAL ANALYSIS (1961) (0)
- Henkin Leon. Sums of squares. Summaries of talks presented at the Summer Institute for Symbolic Logic, Cornell University, 1957 , 2nd edn., Communications Research Division, Institute for Defense Analyses, Princeton, N.J., 1960, pp. 284–291. (1966) (0)
- On the D Calculus for Linear Differential Equations with Constant Coefficients (1961) (0)
- Bing Kurt. On arithmetical classes not closed under direct union. Proceedings of the American Mathematical Society, vol. 6 (1955), pp. 836–846. (1956) (0)
- Book reviews (1974) (0)
- Review: A. Tarski, R. L. Vaught, Elementary (Arithmetical) Extensions (1967) (0)
- R. L. Vaught. Elementary classes closed under descending intersection. Proceedings of the American Mathematical Society , vol. 17 (1966), pp. 430–433. (1967) (0)
- Errata: Solution of a Problem of Erdos-Gillman-Henriksen (1957) (0)
- Review: Kurt Bing, On Arithmetical Classes Not Closed Under Direct Union (1956) (0)
- Review: J. H. Woodger, Formalization in Biology (1960) (0)
- Review: Haskell B. Curry, On Definitions in Formal Systems (1960) (0)
- Review: B. E. Meserve, Decision Methods for Elementary Algebra (1957) (0)
- Tarski A. and Vaught R. L.. Elementary (arithmetical) extensions. Summaries of talks presented at the Summer Institute for Symbolic Logic, Cornell University, 1957, 2nd edn., Communications Research Division, Institute for Defense Analyses, Princeton, N.J., 1960, pp. 51–55. (1967) (0)
- Review: K. L. de Bouvere, A Mathematical Characterization of Explicit Definability (1971) (0)
- Henkin Leon. Mathematical foundations for mathematics. The American mathematical monthly, vol. 78 (1971), pp. 463–487. (1974) (0)
- Review: James Ax, On the Undecidability of Power Series Fields (1971) (0)
- Review: J. Heidema, A. P. J. van der Walt, Contributions to the Metamathematical Theory of Ideals. I: Domains with Dense Kernel; J. Heidema, Contributions to the Metamathematical Theory of Ideals. II: Metamathematical Prime Ideals and Radicals (1971) (0)
- Staples John. A non-standard representation of Boolean algebras, and applications. The bulletin of the London Mathematical Society, vol. 1 (1969), pp. 315–320. (1973) (0)
- Outline of an Introduction to Mathematical Logic II (1958) (0)
- Review: Uberto Scarpelli, La Definition en Droit (1960) (0)
- J. H. Woodger. Formalization in biology. Logique et analyse (Louvain), n.s. vol. 1 (1958), pp. 97–104. (1960) (0)
- An evaluation of the Cooroy extension group. (1963) (0)
- Review: Kazimierz Ajdukiewicz, Three Concepts of Definition (1960) (0)
- Cohn P. M.. Universal algebra . Harper & Row, Publishers, New York, Evanston, and London, 1965, xv + 333 pp. (1969) (0)
- JSL volume 34 issue 1 Cover and Front matter (1969) (0)
- Meserve B. E.. Decision methods for elementary algebra. The American mathematical monthly , vol. 62 (1955), pp. 1–8. (1957) (0)
- Review: Alf Ross, Definition in Legal Language (1960) (0)
- JSL volume 33 issue 4 Cover and Front matter (1969) (0)
- de Bouvère K. L.. A mathematical characterization of explicit definability. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 66 (1963), pp. 264–274; also Indagationes mathematicae, vol. 25 (1963), pp. 264–274. (1971) (0)
- Review: Ralph Kopperman, Model Theory and Its Applications (1973) (0)
- Review: John Staples, A Non-standard Representation of Boolean Algebras, and Applications (1973) (0)
- Review: W. Peremans, Some Theorems on Free Algebras and on Direct Products of Algebras (1955) (0)
- Review: P. M. Cohn, Universal Algebra (1969) (0)
- Kopperman Ralph. Model theory and its applications . Allyn and Bacon, Inc., Boston 1972, x + 333 pp. (1973) (0)
- ON THE MECHANIZATION OF THE THEORY OF NUMBERS (1962) (0)
- Review: G. Kreisel, Foundations of Intuitionistic Logic (1965) (0)
- Review: J. Barkley Rosser, Logic for Mathematicians (1953) (0)
- Curry Haskell B.. On definitions in formal systems. Logique et analyse (Louvain), n.s. vol. 1 (1958), pp. 105–114. (1960) (0)
- Outline of an Introduction to Mathematical Logic IV (1959) (0)
- Interim report on the research into the use of formula for calculating economic batch sizes (1959) (0)
- JSL volume 33 issue 3 Cover and Front matter (1968) (0)
- Rosser J. Barkley. Logic for mathematicians. McGraw-Hill Book New York–Toronto–London 1953, xiv + 530 pp. (1953) (0)
- Review: C. C. Chang, On Unions of Chains of Models (1960) (0)
- JSL volume 33 issue 1 Cover and Front matter (1968) (0)
- Review: R. L. Vaught, Elementary Classes Closed under Descending Intersection (1967) (0)
- Review: Leon Henkin, G. Kreisel, Sums of Squares (1966) (0)
- Review: Joseph S. Wholey, Persistence and Herbrand Expansions (1966) (0)
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