£123.79

North Holland Theory of Relations Volume 145 - Logic & Math

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Description

Explore the foundational developments of relation theory in this specialized volume from the Studies in Logic and the Foundations of Mathematics series. This text traces the history of the field from the early work of Hausdorff and Sierpinski to modern mathematical proofs. Readers will examine the evolution of order types, specifically focusing on chains, total orders, and linear orders. The content covers significant historical milestones, including the work of Dushnik and Miller regarding the chain of reals and the subsequent study of infinite strictly decreasing sequences of chains. This volume provides a deep look into the mathematical conjectures and proofs that shaped the field, such as the affirmative proof by Laver in 1968 regarding denumerable chains. It is an essential resource for those studying the mathematical structures that underpin logic and the foundations of mathematics.

Key Features

Comprehensive coverage of relation theory starting from the foundational works of Hausdorff and Sierpinski.

In-depth analysis of order types, including chains, total orders, and linear orders.

Detailed examination of the Dushnik-Miller 1940 findings regarding infinite strictly decreasing sequences of chains.

Exploration of mathematical conjectures and the 1968 proof by Laver regarding denumerable chains.

Part of the Studies in Logic and the Foundations of Mathematics series, Volume 145.

Academic resource focused on the study of embeddability and the chain of reals.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
12 March 2001
Listed Since
15 December 2006

Barcode

No barcode data available

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