Constructive Countablism

Name: Constructive Countablism
Price: 288.99 AUD
Availability: PreOrder

A Foundation For Mathematics

By: Nik Weaver

Write A Review

Hardcover | 31 December 2026

At a Glance

Format
Hardcover

Hardcover

RRP $320.99

$288.99

10%OFF

or 4 interest-free payments of $72.25 with

or

Available: 31st December 2026

Preorder. Will ship when available.

This volume presents a bold new framework for the foundations of mathematics by integrating constructivism with countablism — the view that all sets are countable and that uncountable "sets" such as the real line are best treated as proper classes. This unified approach offers a mathematically rigorous way to avoid classical paradoxes and rethink central assumptions in set theory, truth theory, and the philosophy of mathematics.It shows how constructivist principles allow for a global classical truth predicate, long believed impossible since Tarski, while countablism eliminates much of the traditional set-theoretic pathology associated with unrestricted abstraction. It provides definitive, technically grounded resolutions to both the liar paradox and Russell's paradox, clarifying their implications for assertibility, predicativity, and the concept-object distinction.The second half develops core areas of mathematics within this constructive and countablist foundation, demonstrating that despite its philosophical and technical restrictions, the framework preserves the structure and power of mainstream mathematics. This volume offers a major rethinking of mathematical ontology, abstract objects, and the iterative conception of sets, with implications for constructivism, intuitionism, platonism, and nominalism.

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 $79.00 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.