Discover surprising new solutions to legendary paradoxes that were once thought to be impossible to solve. Master the fundamental underlying principles of logic and finally acquire an intuitive and second nature 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. These are just some of the kinds of things this book is about.
This is a book about both formal logic and informal logic, a book about both rigor and intuition. Too many books on logic these days 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 hand-holds the reader through almost everything. It is written in a conversational and free-flowing style, one that doesn't shy away from exploring lots of random interesting tangential thoughts.
Here are just a few of the things you'll find inside this book:
- 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 bridge between formal logic and natural language unlike anything previously known
- a new proposed solution to Russell's paradox (yet another world-famous paradox of logic), one that seems to remove the need to use a laboriously verbose system of awkward axioms (e.g. ZFC) for set theory, thereby allowing you to have a system of set theory 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, not even close
- an in-depth and useful discussion of informal logic, including numerous logical fallacies and cognitive biases, and even including some new ones that I thought of myself
- lots of other miscellaneous 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 preface and table of contents contain a more detailed overview of what's in the book, so look at those if you still want more info.
