How Long to Read Gödel's Theorems and Zermelo's Axioms

How Long Does it Take to Read Gödel's Theorems and Zermelo's Axioms?

It takes the average reader 4 hours and 1 minute to read Gödel's Theorems and Zermelo's Axioms by Lorenz Halbeisen

Assuming a reading speed of 250 words per minute. Learn more

Description

This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third part of the book the authors present detailed proofs of Gödel’s classical completeness and incompleteness theorems. In particular, the book includes a full proof of Gödel’s second incompleteness theorem which states that it is impossible to prove the consistency of arithmetic within its axioms. The final part is dedicated to an introduction into modern axiomatic set theory based on the Zermelo’s axioms, containing a presentation of Gödel’s constructible universe of sets. A recurring theme in the whole book consists of standard and non-standard models of several theories, such as Peano arithmetic, Presburger arithmetic and the real numbers. The book addresses undergraduate mathematics students and is suitable for a one or two semester introductory course into logic and set theory. Each chapter concludes with a list of exercises.

How long is Gödel's Theorems and Zermelo's Axioms?

Gödel's Theorems and Zermelo's Axioms by Lorenz Halbeisen is 236 pages long, and a total of 60,416 words.

This makes it 80% the length of the average book. It also has 74% more words than the average book.

How Long Does it Take to Read Gödel's Theorems and Zermelo's Axioms Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 30 minutes to read Gödel's Theorems and Zermelo's Axioms aloud.

What Reading Level is Gödel's Theorems and Zermelo's Axioms?

Gödel's Theorems and Zermelo's Axioms is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Gödel's Theorems and Zermelo's Axioms?

Gödel's Theorems and Zermelo's Axioms by Lorenz Halbeisen is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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