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14. Complete theories of algebraically closed fields with distinguished subfields, Mich. Math. Journal 11 (1964), pp. 71-81.
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16. Unions of relational systems, Proc. Amer. Math. Soc. 13 (1964), pp. 540-545.
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30. Elementary extensions of models of set theory (with Michael Morley), Israel J. Math. 6 (1968), pp. 49-65.
31. Models with orderings, Proc. of the Int. Cong. for Logic, Methodology and Phil. of Sci., Jerusalem 1968, pp. 35-62.
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72. A law of large numbers for fast price adjustment. Trans. Amer. Math. Soc., 332 (1992), pp. 1-51.
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74. The hyppereal line. In Real Numbers, Generalizations of the Reals, and Theories of Continua, ed. by P. Erlich, Kluwer Academic Publishers, pp. 207-237, 1994.
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76. Neocompact sets and stochastic Navier-Stokes equations (with Nigel Cutland). Pp. 31-54 in Stochastic Partial Differential Equations, London Mathematical Society Lecture Notes Series 216, ed. by A. Etheridge, Cambridge Univ. Press 1995.
77. A neometric survey. Pp. 233-250 in Developments in Nonstandard Analysis, ed. by N. Cutland et al, Longman 1995.
78. Long sequences in neocompact sets (with Sergio Fajardo). Pp. 251-260 in Developments in Nonstandard Analysis, ed. by N. Cutland et al, Longman 1995.
79. Getting to a competitive equilibrium. Econometica, vol. 64 (1996), pp. 29-49.
80. Neometric spaces (with Sergio Fajardo). Advances in Math. 118 (1996), pp. 134-175.
81. Existence theorems in probability theory (with Sergio Fajardo). Advances in Math. 120 (1996), pp. 191-257.
82. Mathematical Logic and Computability (with Joel Robbin et al). McGraw-Hill 1996, 484 pages with accompanying software.
83. Rich and Saturated Adapted Spaces. Advances in Math. 128 (1997), pp. 242-288.
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85. Stochastic Differential Equations with Extra Properties. Pp. 259-277 in Nonstandard Analysis, Theory and Applications, edited by L. Arkeryd et al, NATO ASI Series C Vol. 493, Kluwer 1997.
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90. Categoricity without equality (with Arnold Miller). Fund. Math. 170 (2001), pp. 87-106.
91. Epistemic Conditions for Iterated Admissibility (with Adam Brandenburger), Extended abstract in Theoretical Aspects of Rationality in Knowledge: Proc.of Eighth Congress, ed. by J. van Benthem, Morgan Kaufmann 2001, pp. 31-37.
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98. Barwise: Infinitary Logic and Admissible Sets (with Julia Knight). Bulletin of Symbolic Logic 10 (2004), pp 4-26.
99. Shrinking Games and Local Formulas (with Wafik Lotfallah), Annals of Pure and Applied Logic 128 (2004), pp. 215-225.
100. An Impossibility Theorem on Beliefs in Games (with Adam Brandenburger), Studia Logica 84 (2006), pp. 211-240. Also Chapter 1 in "The Language of Game Theory", Adam Brandenburger, World Scientific 2014.
101. Global attractors for 3-dimensional stochastic Navier-Stokes equations (with Nigel Cutland), J. Dynamics and Differential Equations 16 (2004), 205-266.
102. Attractors and Neo-attractors for 3D Stochastic Navier--Stokes Equations (with Nigel Cutland), Journal of Stochastics and Dynamics 5 (2005), pp. 487-533.
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105. A Local Normal Form Theorem for Infinitary Logic with Unary Quantifiers (with Wafik Lotfallah). Mathematical Logic Quarterly 51 (2005), pp. 137-144.
106. The Strength of Nonstandard Analysis. In "The Strength of Nonstandard Analysis", edited by I. van den Berg and V. Neves, pp. 3-26 (2007).
107. Nonstandard Arithmetic and Reverse Mathematics. Bulletin of Symbolic Logic.12 (2006), pp. 100-125.
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112. Randomizations of Models as Metric Structures (with Itai Ben Yaacov). Confluentes Mathematici 1 (2009), pp. 197-223.
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114. The Ultraproduct Construction. In "Ultrafilters Across Mathematics", ed. by V. Bergelson et. al., Contemporary Mathematics 530 (2010), pp. 163-179, Amer. Math. Soc.
115. Nonstandard Analysis and Recursive Comprehension. Annals of Pure and Applied Logic 161 (2010) pp. 1047-1062.
116. Rank Hierarchies for Generalized Quantifiers (with Wafik Lotfallah). Journal of Logic and Computation 21 (2011), pp. 287-306.
117. Fixed Points in Epistemic Game Theory (with Adam Brandenburger and Amanda Friedenburg). In "Mathematical Foundations of Information Flow", Proceedings of 2008 Clifford Lectures, AMS Proc. of Symposia in Applied Mathematics, (2012), pp.49-60.
118. Craig Interpolation for Networks of Sentences (with Jeffrey M. Keisler). Annals of Pure and Applied Logic 163 (2012), pp. 1322-1344.
119. Iterated Dominance Revisited (with Amanda Friedenburg). Economic Theory 72 (2021), 377-421.
120 Common Assumption of Rationality (with Byung Soo Lee). To appear, Journal of Mathematical Economics, 2023.
121. Fiber Products of Measures and Quantum Foundations (with Adam Brandenburger). In Logic & Algebraic Structures in Quantum Computing & Information, edited by Jennifer Chubb, Ali Eskandarian, and Valentina Harizanov, in Lecture Notes in Logic, Association for Symbolic Logic, Cambridge University Press, 2016.
122. Observing, Reporting, and Deciding in Networks of Sentences (with Jeffrey M. Keisler). Annals of Pure and Applied Logic 165 (2014), pp. 812-836.
123. A Canonical Hidden-Variable Space (with Adam Branburger). To appear, Annals of Pure and Applied Logic, and available online.
124. Use of a Canonical Hidden Variable Space in Quantum Mechanics (with Adam Brandenburger). In Computation, Logic, Games, and Quantum Foundations: The Many Facets of Samson Abramsky, ed. by Bob Coecke, Luk Ong, and Prakash Panangaden, Lecture Notes in Computer Science 7860, Springer 2013, pp. 1-6.
125. Definable Closure in Randomizations (with Uri Andrews and Isaac Goldbring). Annals of Pure and Applied Logic 166 (2015), pp. 325-341.
126. Separable Models of Randomizations (with Uri Andrews). Journal of Symbolic Logic 80 (2015), 1149-1181.
127. Independence in Randomizations. (with Uri Andrews and Isaac Goldbring). Jounal of Mathematical Logic, Vol. 19 (2019), no. 01. arXiv:1703.10913, 2017.
128. Randomizations of Scattered Sentences. Pp. 189-218 in "Beyond First Order Model Theory", edited by Jose Iovino, CRC Press.
129. Review of Three Papers by Malliaris and Shelah. Bulletin of Symbolic Logic 23 (2017), pp. 117-121.
130. Scattered Sentences Have Few Separable Randomizations (with Uri Andrews, Isaac Goldbring, Sherwood Hachtman, and David Marker). Archive for Mathematical Logic. First Online: 03 February 2020. arXiv:1704.04981, 2017.
131. On the Converse Law of Large Numbers (with Yeneng Sun). Illinois Journal of Mathematics 24 (2020), pp. 199-225.
132. Model Theory for Real-valued Structures. To appear in "Beyond First Order Model Theory, Volume II", ed. by Jose Iovino, Chapman & Hall (2023). arXiv:2005.11851, 2020. arXiv:2005.11851, 2020.
133. Cooperative Games on Infinite Trees (with Adam Brandenburger and Paula Miret).
134. Continuous Sentences Preserved Under Reduced Products (with Isaac Goldbring). Journal of Symbolic Logic, vo.. 87 (2022), 649-681. arXiv:1905.10673, 2019.
135. Using Ultrapowers to Compare Continuous Structures. Annals of Pure and Appled Logic, vol. 175, Issue 1, Part B (2024) arXiv:2206.06969, 2022.
136. The relationship between strong belief and assumption (with Adam brandenburge and Amanda Friedenberg). Open access article. Synthese, vol. 201, issue 5, May 2023.