Set theory and its philosophy
A Critical Introduction
Bibliographic Data
| ID | 6580797 |
|---|---|
| Authors | Michael Potter (0000-0003-0655-7072, University of Cambridge, corresponding author), Michael D Potter |
| Year | 2004 |
| Pages | 345 |
| Publication date | 2004-01-01 |
| Open Access | No |
| Type | BOOK |
| Venue | Set theory and its philosophy (SOURCE_BOOK) |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| OpenAlex | W2489589291 |
| Open Library | OL3325039M |
| ISBN | 9780199269730 |
| Language | EN |
| References cited | 162 |
Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates
Axiom · Axiom of choice · Epistemology · Foundations of mathematics · Hierarchy · Key (lock) · Political science · Presentation (obstetrics) · Set (abstract data type) · Set theory · Simple (philosophy) · Universal set · Urelement · Zermelo–Fraenkel set theory · Computability, Logic, AI Algorithms · Computer Science · Law · Mathematical and Theoretical Analysis · Mathematics · Philosophy · Philosophy and Theoretical Science
Parts of classes
Proofs and Refutations
Platonism and Anti-Platonism in Mathematics
The Reason's Proper Study
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
Models and reality
Mathematical Logic as Based on the Theory of Types
XIV—Ontological Dependence
Medieval Mereology
Logicism, the Continuum and Anti-Realism
The calculus of individuals and its uses
The Independence of the Continuum Hypothesis
Between Logic and Intuition
Reason, Truth and History
Wittgenstein on “The Foundations of Mathematics”, June 1927
On Extensions of Elementary Logic
The Higher Infinite
Zermelo’s Axiom of Choice
Frege
Which logic is the right logic
The Open-Endedness of the Set Concept and the Semantics of Set Theory
A Term of Length 4 523 659 424 929
What Numbers Could not Be
Problems in the Philosophy of Mathematics
Frege's Conception of Numbers as Objects
On the Consistency Problem for Set Theory
Sets, Classes, and Categories
Philosophy of Mathematics and Natural Science
| Citation velocity | historical |
|---|---|
| Highly cited | No |