How Long to Read The Logical Foundations of Mathematics

How Long Does it Take to Read The Logical Foundations of Mathematics?

It takes the average reader 5 hours and 30 minutes to read The Logical Foundations of Mathematics by William S. Hatcher

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

Description

The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

How long is The Logical Foundations of Mathematics?

The Logical Foundations of Mathematics by William S. Hatcher is 330 pages long, and a total of 82,500 words.

This makes it 111% the length of the average book. It also has 101% more words than the average book.

How Long Does it Take to Read The Logical Foundations of Mathematics Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 30 minutes to read The Logical Foundations of Mathematics aloud.

What Reading Level is The Logical Foundations of Mathematics?

The Logical Foundations of Mathematics 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 The Logical Foundations of Mathematics?

The Logical Foundations of Mathematics by William S. Hatcher 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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