Unified Logic: How to Divide by Zero, Solve the Liar’s Paradox, and Understand the Nature of Truth

Unified Logic (my most significant work to date, as of 2024) was a #1 New Release in the Logic & Language category of one of the largest bookselling websites in the world in 2018! 🥇😎

For many years, the Unified Logic book was only available on the major online retailer's website via their proprietary DRM eBook format, but now the book is finally available independently here as a 100% DRM-free PDF collection! It includes all major releases of the book as separate PDFs (currently just two), so that you can read whichever you prefer! (I also tossed in some other miscellaneous stuff, such as from this product page.) ✅😄

Here is how I originally described the Unified Logic book on my older WordPress-based personal website and (similarly, but slightly differently) on the major retail bookseller site:

Discover surprising new solutions to legendary paradoxes once thought to be unsolvable. Master the fundamental underlying principles of logic and acquire a more intuitive and natural grasp of how to reason correctly. Free your mind from the daily fog of irrationality and misinformation by empowering yourself with the guiding light of logic.

This is a book about both formal logic and informal logic, a book about both rigor and intuition. Too many books on logic are too dry and unmotivated and lacking in spirit. This book is designed to be different. It’s designed to capture the real underlying essence of each concept it discusses in a genuinely clarifying and easy to understand way.

It’s about reimagining and reexamining the foundations of logic to uncover hidden insights and bizarre new possibilities. It’s a journey into the uncharted wilderness of reason, a strange new landscape where the rules can bend in wonderfully unexpected and arbitrary ways.

This book is designed with both beginners and experts in mind. It’s written in a conversational, free-flowing, and accessible style, and doesn’t shy away from exploring lots of interesting tangential thoughts and useful ideas.

Here are just a few of the things you’ll find inside:

• a new proposed solution to the liar’s paradox, a legendary paradox of logic that has eluded humanity for more than roughly 2500 years since its inception
• numerous easily understood thought experiments and “aha moments” designed to instill you with a more genuine and principled understanding of the structure of logical thought
• two new branches of logic, transformative logic and unified logic, the former of which is intended to be able to express very arbitrary systems in a flexible way and the later of which is intended to unify the most important non-classical logics together into one all-encompassing system that satisfies the primary criteria of all of them simultaneously
• new forms of logical implication which possess much better behaving properties than material implication and which seem to provide a partial bridge between formal logic and natural language
• a new proposed solution to Russell’s paradox (yet another world-famous paradox), one that seems to remove the need to use an awkward system of axioms (e.g. ZFC) for set theory, thereby allowing you to have a system which is both “naive” (i.e. intuitive) and rigorous at the same time
• a multitude of bizarre new operations made possible by unified logic, such as division by zero for example, and that’s not even the weirdest example
• an in-depth and useful discussion of informal logic, including numerous logical fallacies and cognitive biases, and even including a few new ones that I thought of myself
• lots of other useful ideas, such as how to achieve “creativity at will”, how to potentially fix out-of-control healthcare prices, how to stay productive even if you hate rigid schedules, etc

The informal part of the book can be read independently of the formal part, so that less technically inclined readers can still get good value out of the book even if they get stuck. The formal part is very approachable too though.

If you want a truly original and distinctive exploration of the foundations of logical reasoning, mixing both original research and review of common knowledge together in a widely accessible and reader-friendly form designed to be understandable by the general public, then you've come to the right place! 📚😁

I took me 4-5 years (truly a labor of love) to finish it, but I want a lot of people to benefit from it and so I make it available much cheaper than what the vast majority of such books charge. 🤗🎁

Blaze a trail with me through the road less traveled in the wildest and most surreal reaches of logic and mathematics! 🏞🧗‍♂️🦉

I hope you like it! It has quite a few unusual and fun ideas in it! 🥳

PS: This package (the book text, the techniques/research, and the collection of files) is licensed under the MAMIL {enterprise, private, unmoddable, no warranty, anti-AI} license. Basically, in practice (in this case) it mostly just means that it is proprietary with no warranty and none of the content can be submitted to any AI system of any kind, but can be shared freely within your organization (if any) but not outside it. You can see the license details at the MAMIL license preview page.