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Reuniting the Antipodes — Constructive and Nonstandard Views of the Continuum

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Table of Contents

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    Book Overview
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    Chapter 1 Nonstandard Construction of Stable Type Euclidean Random Field Measures
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    Chapter 2 The Continuum in Smooth Infinitesimal Analysis
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    Chapter 3 Constructive Unbounded Operators
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    Chapter 4 The Points of (Locally) Compact Regular Formal Topologies
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    Chapter 5 Embedding a Linear Subset of B ( H ) in the Dual of Its Predual
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    Chapter 6 Nonstandard Analysis by Means of Ideal Values of Sequences
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    Chapter 7 Nilpotent Infinitesimals and Synthetic Differential Geometry in Classical Logic
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    Chapter 8 On Hyperfinite Approximations of the Field R
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    Chapter 9 Various Continuity Properties in Constructive Analysis
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    Chapter 10 Loeb Measures and Borel Algebras
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    Chapter 11 On Brouwerian Bar Induction
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    Chapter 12 Curt Schmieden’s Approach to Infinitesimals
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    Chapter 13 A Sequent Calculus for Constructive Ordered Fields
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    Chapter 14 The Puritz Order and Its Relationship to the Rudin-Keisler Order
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    Chapter 15 Unifying Constructive and Nonstandard Analysis
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    Chapter 16 Positive Lattices
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    Chapter 17 Constructive Mathematics without Choice
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    Chapter 18 Pointwise Differentiability
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    Chapter 19 On Conway Numbers and Generalized Real Numbers
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    Chapter 20 The Constructive Content of Nonstandard Measure Existence Proofs—Is There Any?
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    Chapter 21 Kruskal’s Tree Theorem in a Constructive Theory of Inductive Definitions
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    Chapter 22 Real Numbers and Functions Exhibited in Dialogues
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    Chapter 23 On the Quantitative Structure of Δ 2 0
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    Chapter 24 Understanding and Using Brouwer’s Continuity Principle
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    Chapter 25 Peirce and the Continuum from a Philosophical Point of View
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Title
Reuniting the Antipodes — Constructive and Nonstandard Views of the Continuum
Published by
Springer Netherlands, March 2013
DOI 10.1007/978-94-015-9757-9
ISBNs
978-9-04-815885-0, 978-9-40-159757-9
Editors

Schuster, Peter, Berger, Ulrich, Osswald, Horst

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Other 1 100%
Readers by discipline Count As %
Mathematics 1 100%