E. T. Bell. Polynomials on a finite discrete range. Duke mathematical journal, vol. 10 (1943), pp. 33–47.

1944 ◽  
Vol 9 (1) ◽  
pp. 31-31
Author(s):  
H. E. Vaughan
Keyword(s):  
Mathematical Journal ◽  
Bell Polynomials ◽  
Duke Mathematical Journal

R. Dalbiez. L'idée fondamentale de la combinatoire leibnizienne. Travaux du IXe Congrès International de Philosophie, VI Logique et mathématiques, Actualités scientifiques et industrielles 535, Hermann et Cie, Paris1937, pp. 3–7. - Thomas Greenwood. L'extension de la logique aristotélicienne. Travaux du IXe Congrès International de Philosophie, VI Logique et mathématiques, Actualités scientifiques et industrielles 535, Hermann et Cie, Paris1937, pp. 18–25. - Z. Zawtrski. Importance des recherches logiques et sémantiques pour les théories de la physique contemporaine. Travaux du IXe Congrès International de Philosophie, VI Logique et mathématiques, Actualités scientifiques et industrielles 535, Hermann et Cie, Paris1937, pp. 82–87. - Paulette Février. Les relations d'incertitude d'Heisenberg et la logique. Travaux du IXe Congrès International de Philosophie, VI Logique et mathématiques, Actualités scientifiques et industrielles 535, Hermann et Cie, Paris1937, pp. 88–94. [Cf. II 88.] - R. Catesby Taliaferro. Plato and the liberal arts: a plea for mathematical logic. The new scholasticism, vol. 11 (1937), pp. 297–319. - Arnold F. Emch. Deducibility with respect to necessary and impossible propositions. The journal of symbolic logic, vol. 2 (1937), pp. 78–81. - Garrett Birkhoff. Rings of sets. Duke mathematical journal, vol. 3 (1937), pp. 443–454. - N. H. McCoy and Deane Montgomery. A representation of generalized Boolean rings. Duke mathematical journal, vol. 3 (1937), pp. 455–459. - Gottfried Köthe. Die Theorie der Verbände, ein neuer Versuch zur Grundlegung der Algebra und der projektiven Geometrie. Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 47 (1937), 1. Abteilung, pp. 125–144. - Adolf Fraenkel. Review of Carnap's Logische Syntax der Sprache (35212). Scripta mathematica, vol. 4 (1936), pp. 309–312. - A. P. Ushenko. Review of Carnap's The logical syntax of language. The philosophical review, vol. 46 (1937), pp. 549–553. - L. G. Review of Waismann's Einführung in das mathematische Denken (II 142). Rivista di filosofia, vol. 28 (1937), pp. 283–285. - Wilhelm Ackermann. Review of Bentley's Linguistic analysis of mathematics (4611). Jahrbuch über die Fortschritte der Mathematik, vol. 58I no. 1 (for 1932, pub. 1937), pp. 56–57. - C. G. Hempel. Review of Carnap's Die Antinomien und die Unvollständigkeit der Mathematik (35214). Jahrbuch über die Fortschritte der Mathematik, vol. 60II no. 1 (for 1934, pub. 1936), pp. 843–844. - Wilhelm Ackermann. Review of Quine's A system of logistic (4585). Jahrbuch über die Fortschritte der Mathematik, vol. 60II no. 1 (for 1934, pub. 1936), pp. 845–846. - C. G. Hempel. Review of Quine's Toward a calculus of concepts (I 111). Jahrbuch über die Fortschritte der Mathematik, vol. 62I no. 1 (1936), pp. 35–36. - Th. Skolem. Review of Tarski's Grundzüge des Systemenkalküls (28518, I 71). Jahrbuch über die Fortschritte der Mathematik, vol. 62I no. 1 (1936), pp. 38–39. - Friedrich Bachmann. Reviews of Gentzen's Die Widerspruchsfreiheit der Stufenlogik (I 119) and Die Widerspruchsfreiheit der reinen Zahlentheorie (I 75). Jahrbuch über die Fortschritte der Mathematik, vol. 62I no. 1 (1936), pp. 43–44. - M. Kokoszyńska. Filozofia nauki w Kole Wiedeńskim (Philosophy of science in the Circle of Vienna). Kwartalnik filozoficzny, vol. 13, pp. 151–165, 181–194. - M. Kokoszyńska. Review of Carnap's Testability and meaning (II 49). Kwartalnik filozoficzny, vol. 14, pp. 55–61. - M. Black. Review of Gonseth's Les mathématiques et la réalité (II 45). Mind, n.s. vol. 46 (1937), pp. 538–539. - Review of Carnap's Testability and meaning, part 2 (II 49). Mind, n.s. vol. 46 (1937), p. 546. - Edward Gleason Spaulding. A world of chance, or Whence, whither, and why. The Macmillan Company, New York, 1936, xxxiii+293 pp. - R. Feys. Notions de logistique. Mimeographed. 1st. edn., privately circulated, Brussels 1936, vi+102 pp. 2nd. edn., revised, on sale by the Revue Néoscolastique, Louvain 1937.

1937 ◽  
Vol 2 (4) ◽  
pp. 175-176
Keyword(s):  
New York ◽  
Mathematical Logic ◽  
Philosophy Of Science ◽  
Liberal Arts ◽  
Linguistic Analysis ◽  
Mathematical Journal ◽  
Symbolic Logic ◽  
Duke Mathematical Journal ◽  
Logical Syntax ◽  
Boolean Rings

scholarly journals RAMSEY GROWTH IN SOME NIP STRUCTURES

2019 ◽  
pp. 1-29
Author(s):  
Artem Chernikov ◽  
Sergei Starchenko ◽  
Margaret E. M. Thomas
Keyword(s):  
Upper Bound ◽  
American Mathematical Society ◽  
Mathematical Journal ◽  
Mathematical Society ◽  
Duke Mathematical Journal ◽  
Combinatorial Characterization ◽  
Polynomial Boundedness ◽  
Ramsey’S Theorem ◽  
Definable Relations

We investigate bounds in Ramsey’s theorem for relations definable in NIP structures. Applying model-theoretic methods to finitary combinatorics, we generalize a theorem of Bukh and Matousek (Duke Mathematical Journal 163(12) (2014), 2243–2270) from the semialgebraic case to arbitrary polynomially bounded $o$ -minimal expansions of $\mathbb{R}$ , and show that it does not hold in $\mathbb{R}_{\exp }$ . This provides a new combinatorial characterization of polynomial boundedness for $o$ -minimal structures. We also prove an analog for relations definable in $P$ -minimal structures, in particular for the field of the $p$ -adics. Generalizing Conlon et al. (Transactions of the American Mathematical Society 366(9) (2014), 5043–5065), we show that in distal structures the upper bound for $k$ -ary definable relations is given by the exponential tower of height $k-1$ .

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