Intuitionistic Analysis : A Constructive Frame of Mind - Craig Smorynski

Instant online reading.
Don't wait for delivery!
Go digital and save!

Intuitionistic Analysis

A Constructive Frame of Mind

By: Craig Smorynski, Mark van Atten, Dirk van Dalen

Write A Review

Paperback | 21 May 2026

At a Glance

Format
Paperback

Dimensions(cm)
23.3 x 15.5 x 1.2

Paperback

$128.75

or 4 interest-free payments of $32.19 with

or

Ships in 15 to 25 business days

This book introduces the core ideas of L.E.J. Brouwerâs approach to constructivity in mathematics, focusing on analysis, set theory, and topology, while considering his philosophical motivations. Brouwerâs âintuitionismâ offers a coherent alternative to classical (nonconstructive) mathematics. Starting with the rejection of the Principle of the Excluded Middle, the book reconstructs number systems and analysis using Cauchy sequences. It compares constructive and classical methods, highlights where classical theorems fail through âweak counterexamplesâ, and examines Brouwerâs classical and constructive versions of the Fixed-Point Theorem. Intuitionistic concepts like choice sequences and the Creating Subject lead to surprising results, such as the continuity of all total real functions and the existence of effective but non-recursive functions. Brief but fundamental comparisons are made with the later alternatives of Markov and Bishop. Intended as an introduction for undergraduates, this book is suitable for mathematics students interested in philosophy as well as philosophers with some mathematical background.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.