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

by Jesse Bollinger (Author)

A #1 New Release in the logic category on Amazon in 2018, now updated for 2019 with many minor improvements

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.

Don't underestimate yourself. Investing in learning logic is worth it. Broaden your perspective by exploring some fresh new perspectives It may help inspire some new ideas of your own too