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Volume 24 - Issue 4 - December 2018

Bulletin of Symbolic Logic Volume 24 - Issue 4 -
Contents

Page 1 of 3

Articles

  • CANTORIAN SET THEORY

  • ALEX OLIVER, TIMOTHY SMILEY
  • Published online by Cambridge University Press:
    02 January 2019, pp. 393-451

  • Almost all set theorists pay at least lip service to Cantor’s definition of a set as a collection of many things into one whole; but empty and singleton sets do not fit with it. Adapting Dana Scott’s axiomatization of the cumulative theory of types, we present a ‘Cantorian’ system which excludes these anomalous sets. We investigate the consequences of their omission, examining their claim to a place on grounds of convenience, and asking whether their absence is an obstacle to the theory’s ability to represent ordered pairs or to support the arithmetization of analysis or the development of the theory of cardinals and ordinals.

Reviews

Thesis Abstracts

  • Advances in Classification Theory for Abstract Elementary Classes

  • Will Boney
  • Published online by Cambridge University Press:
    02 January 2019, pp. 454-455
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  • Model Theory Methods for Topological Groups

  • Tomás Ibarlucía
  • Published online by Cambridge University Press:
    02 January 2019, pp. 455-456
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  • Coding into Inner Models at the Level of Strong Cardinals

  • Marios Koulakis
  • Published online by Cambridge University Press:
    02 January 2019, p. 456
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  • Foundations of Higher-Order Forcing

  • Carolin Antos
  • Published online by Cambridge University Press:
    02 January 2019, p. 457
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  • Compact Structures in Descriptive Classification Theory

  • Joseph Zielinski
  • Published online by Cambridge University Press:
    02 January 2019, pp. 458-459
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  • Computations of Vapnik–Chervonenkis Density in Various Model-Theoretic Structures

  • Anton Bobkov
  • Published online by Cambridge University Press:
    02 January 2019, p. 459
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  • Extensions and Smooth Approximations of Definable Functions in O-minimal Structures

  • Athipat Thamrongthanyalak
  • Published online by Cambridge University Press:
    02 January 2019, pp. 459-460
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  • Metric Geometry in a Tame Setting

  • Erik Walsberg
  • Published online by Cambridge University Press:
    02 January 2019, p. 460
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  • Type-two well-ordering principles, admissible sets, and $\Pi _1^1$-comprehension

  • Anton Freund
  • Published online by Cambridge University Press:
    02 January 2019, pp. 460-461
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  • Independence in Model Theory and Team Semantics

  • Gianluca Paolini
  • Published online by Cambridge University Press:
    02 January 2019, pp. 461-462
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  • A Descriptive View of the Bi-embeddability Relation

  • Filippo Calderoni
  • Published online by Cambridge University Press:
    02 January 2019, p. 462
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  • Functions of the first Baire class

  • Raphaël Carroy
  • Published online by Cambridge University Press:
    02 January 2019, pp. 462-464
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  • The Complexity of Countable Structures

  • Matthew Harrison-Trainor
  • Published online by Cambridge University Press:
    02 January 2019, pp. 465-466
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Meeting Report

Page 1 of 3