این کتاب زیبا به مسائل تاریخی و فلسفی نظریه مجموعه ها می پردازد.مطالعه ی اینگونه آثار می تواند درک عمیق تری از تطور دانش ریاضی را در ذهن یک ریاضی خوان ایجاد کند.

A comprehensive philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. I offer a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. I discuss in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. I offer a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unusual is that it interweaves a careful presentation of the technical material with a detailed philosophical critique: I do not merely expound the theory dogmatically but at every stage discuss in detail the reasons that can be offered for believing it to be true.

 

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فرمت فایل : rar

حجم تقریبی : ۱٫۵ مگابایت