More Precisely

The Math You Need to do Philosophy

The Second Edition of More Precisely is expected to appear in late 2017. It will contain a new set of exercises. Stay tuned.

You can follow the links below to download supplementary materials and exercises associated with the chapters of More Precisely. All files are PDFs. Non-commercial educational use of these materials is encouraged!

Instructors: If you'd like answer keys for the exercises, please contact Broadview.
Write to (customerservice{AT}broadviewpress{DOT}com).

Exercises for Chapter 1 Sets

These exercises cover the material in Chapter 1 of More Precisely.

Download the Exercises for Sets

Supplementary Material for Chapter 2 Relations

This file adds to the material in Chapter 2 of More Precisely. The file gives examples of functions associated with the genetic code, fuzzy sets, and Quine’s Democritean worlds.

Download the Supplement to Relations

Exercises for Chapter 2 Relations

This file contains exercises for Chapter 2 of More Precisely.

Download the Exercises for Relations

Supplementary Material for Chapter 4 Semantics

This file adds to the material in Chapter 4 of More Precisely. The file focuses on semantics for tensed statements using temporal counterpart theory. It develops an explicit model of a universe with times and gives explicit truth-conditions for tensed statements both de re and de dicto relative to that model.

Download the Supplement to Semantics

Supplementary Material for Chapter 7 Infinity

This file adds to the material in Chapter 7 of More Precisely. The file gives several examples of recursive definitions that converge to limits.

Download the Supplement to Infinity

Exercises for Chapters 7 and 8 Infinity

This file contains exercises for Chapters 7 and 8 of More Precisely. The exercises cover both countable and uncountable infinities.

Download the Exercises for Infinity

Supplementary Material for Chapter 8 Bigger Infinities

This file adds to the material in Chapter 8 of More Precisely. The file deals with combinatorial hierarchies in metaphysics. It discusses 7 types of combinatorial hierarchies, including van Inwagen’s vitalist hierarchy, Goodman’s nominalist hierarchy, Maddy’s pluralist hierarchy, the ZFCU hierarchy, Lewis’s modal realist hierarchy, Quine’s hierarchy of pure sets, and the Pythagorean hierarchy.

Download the Supplement on Hierarchies