The Forcing Method in Set Theory

Name: The Forcing Method in Set Theory
Brand: Springer, Berlin
SKU: 9783031716591
Price: 297.52 RON
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An Introduction via Boolean Valued Logic

Autor: Matteo Viale

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Editura: Springer, Berlin

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The main aim of this book is to provide a compact self-contained presentation of the forcing techniq...

Informații despre carte

Autor

Matteo Viale

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2024

Pagini

212

EAN

9783031716591

Enbook ID

46550471

Editura

Springer, Berlin

Greutate

488

Dimensiuni

155 x 235

Descriere completă

The main aim of this book is to provide a compact self-contained presentation of the forcing technique devised by Cohen to establish the independence of the continuum hypothesis from the axioms of set theory. The book follows the approach to the forcing technique via Boolean valued semantics independently introduced by Vopenka and Scott/Solovay; it develops out of notes I prepared for several master courses on this and related topics and aims to provide an alternative (and more compact) account of this topic with respect to the available classical textbooks. The aim of the book is to take up a reader with familiarity with logic and set theory at the level of an undergraduate course on both topics (e.g., familiar with most of the content of introductory books on first-order logic and set theory) and bring her/him to page with the use of the forcing method to produce independence (or undecidability results) in mathematics. Familiarity of the reader with general topology would also be quite helpful; however, the book provides a compact account of all the needed results on this matter. Furthermore, the book is organized in such a way that many of its parts can also be read by scholars with almost no familiarity with first-order logic and/or set theory. The book presents the forcing method outlining, in many situations, the intersections of set theory and logic with other mathematical domains. My hope is that this book can be appreciated by scholars in set theory and by readers with a mindset oriented towards areas of mathematics other than logic and a keen interest in the foundations of mathematics.

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The Forcing Method in Set Theory

An Introduction via Boolean Valued Logic

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