Introduction to axiomatic set theory
by Takeuti, Gaisi, Zaring, Wilson M.
fromGraduate Texts in Mathematics
An introduction to Gödel's theorems
by Smith, Peter
fromCambridge introductions to philosophy
Introduction to axiomatic set theory
by Takeuti, Gaisi, Zaring, Wilson M.
fromGraduate Texts in Mathematics
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the …
Introduction to axiomatic set theory
by Takeuti, Gaisi, Zaring, Wilson M.
fromGraduate Texts in Mathematics
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the …
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first exa…
The Foundations of Mathematics
The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract developmen…