The Canonical Order of Operations

By Andrew Lehti

Mathematics is often celebrated as the language of precision and logic, but beneath its apparent rigor lies a surprising truth: even the most basic operations can harbor confusion. Over centuries, subtle inconsistencies in how we interpret arithmetic expressions have crept into the foundations of education. Mnemonics like PEMDAS and BODMAS are taught as gospel, yet they frequently collapse under the weight of ambiguity in more complex expressions-especially involving negatives, roots, and exponents. What begins as clarity for the novice quickly becomes contradiction for the advanced.

This book introduces The Canonical Order of Operations, a logically unified framework designed to eliminate these ambiguities. Rooted in cognitive psychology, mathematics, and historical analysis, this work redefines foundational rules to restore consistency without sacrificing accessibility. It discards inherited conventions when they conflict with truth and re-centers arithmetic on coherence over tradition.

What follows is not a revision but a correction-a return to clarity through principles that hold even under stress. The Canonical Order is not just a new method; it is a resolution.

• Format: Paperback
• Language: English
• ISBN: B0FHFSLXWB
• ISBN13: 9798292210788
• Release Date: July 2025
• Publisher: Independently Published
• Length: 30 Pages
• Weight: 0.21 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"