Mark van Atten's Books

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

By: Mark van Atten

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Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

By: Mark van Atten

This volume tackles Gödel's two-stage project of first using Husserl's transcendental phenomenology to reconstruct and develop Leibniz' monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage. The book is organised around Gödel's use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, Gödel embraced the use of historical authors to frame his own philosophical perspective. The philosophies of Leibniz and Husserl define his project, while Brouwer's intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel's attempt to go far beyond intuitionism. The four central essays are `Monads and sets', `On the philosophical development of Kurt Gödel', `Gödel and intuitionism', and `Construction and constitution in mathematics'. The first analyses and criticises Gödel's attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his publishe d writings. The third discusses how on various occasions Brouwer's intuitionism actually inspired Gödel's work, in particular the Dialectica Interpretation. The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not. The remaining essays provide further context. The essays collected here were written and published over the last decade. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references.

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336

Publisher

Springer

Published Date

ISBN 10

3319100319

ISBN 13

9783319100319

Brouwer meets Husserl

On the Phenomenology of Choice Sequences

By: Mark van Atten

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Brouwer meets Husserl

On the Phenomenology of Choice Sequences

By: Mark van Atten

Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete points? Are there objects of pure mathematics that can change through time? L. E. J. Brouwer argued that the two questions are related and that the answer to both is "yes", introducing the concept of choice sequences. This book subjects Brouwer's choice sequences to a phenomenological critique in the style of Husserl.

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Page Count

213

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1402050879

ISBN 13

9781402050879

Capital Region Motorcycling

By: Mark A. Supley

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Capital Region Motorcycling

By: Mark A. Supley

The early 20th century was a time of greatness and prosperity for New York's Capital Region. Economically powerful cities like Albany and Schenectady were home to emergent companies that employed a growing population. This influx gave way to an abundance of stores and retail establishments that catered to newly settled residents. With the local economy experiencing unprecedented growth, people had discretionary income to be used for leisure activities, such as going to Proctor's Theater or enjoying the sport of motorcycling. Capital Region Motorcycling reveals the many activities that were enjoyed by those who wished to participate or watch. Photographs of road tours, polo matches, hill climbs, field meets, scrambles, and short-track and ice racing are featured alongside stories of the Electric City Riders and Spitzies Roamers motorcycle clubs.

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Page Count

128

Publisher

Arcadia Publishing

Published Date

ISBN 10

146712222X

ISBN 13

9781467122221

Impossible Worlds

By: Francesco Berto,Mark Jago

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Impossible Worlds

By: Francesco Berto,Mark Jago

The latter half of the 20 ...

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333

Publisher

Oxford University Press

Published Date

ISBN 10

0198812795

ISBN 13

9780198812791

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

By: Mark van Atten

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Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

By: Mark van Atten

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336

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Springer

Published Date

ISBN 10

3319100319

ISBN 13

9783319100319

Brouwer meets Husserl

On the Phenomenology of Choice Sequences

By: Mark van Atten

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Brouwer meets Husserl

On the Phenomenology of Choice Sequences

By: Mark van Atten

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213

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Springer Science & Business Media

Published Date

ISBN 10

1402050879

ISBN 13

9781402050879

A Short History of the American Nation

By: John Arthur Garraty,Mark Christopher Carnes

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A Short History of the American Nation

By: John Arthur Garraty,Mark Christopher Carnes

Long respected for its lush narrative and balanced coverage, A Short History of The American Nation uses political history as the framework for an engaging discussion of social, economic, and cultural developments in this country. Numerous anecdotes, new biographical portraits (new American Lives essays), and extensive quotations help give students a closer view of the major figures and events on the American historical stage. Mark Carnes joins John Garraty in preparing the Eighth Edition of A Short History of The American Nation. Selected by Garraty, Mark Carnes' scholarly specialization in cultural and social issues, especially gender, complements Garraty's specialty in politics and the economy. In the new edition of this bestseller, every chapter has been reviewed and updated with a substantially rewritten Chapter 1, a new, final Chapter 33, "Crimes and Misdemeanors," and reorganized Chapters 29 - 32. New material on women has been added throughout the book. The new, four-color format of the Eighth Edition enhances the value of the map program. Many more photographs have been added, making the book more visually compelling and accessible. New captions emphasize how illustrations interpret the past.

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Page Count

468

Publisher

Longman Publishing Group

Published Date

ISBN 10

032107100X

ISBN 13

9780321071002

Book's by Mark van Atten

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Brouwer meets Husserl

Brouwer meets Husserl

Capital Region Motorcycling

Capital Region Motorcycling

Impossible Worlds

Impossible Worlds

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Brouwer meets Husserl

Brouwer meets Husserl

A Short History of the American Nation

A Short History of the American Nation

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