TEACHING __Pure__ TRUE LOGIC // Logic textbook
by Archimedes Plutonium
This is AP's #368 published book of science published on Internet, Plutonium-Atom-Universe,
PAU newsgroup is this.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universeÂ
Preface: This textbook is almost the same as my #367 textbook. Only real difference is that it is much smaller in pages because I have removed almost all criticism of the mistakes made by Old Logic, and where I eliminated all discussion of the mistakes made in Old Logic of its many logicians, especially Boole and Jevons. Many students want to learn just the pure true logic, and not be bothered with who made errors and mistakes in history.Â
I wanted a textbook that tells only the Pure True Logic, without constantly referring to all the mistakes and errors made in the past. I wanted to eliminate criticism and focus solely on true pure Logic science. Students deserve learning "just the pure truth" and not be bothered by past mistakes. If they wish to learn past mistakes, they can pursue that on their own time.
Essentially, this textbook is the same as #367 but excision of all past mistakes of Old Logic. And I let the colleges and university departments decide on which of these two textbooks to use in class. I know that it will take a long time, perhaps a full century before all colleges and universities textbooks tell just the "pure truth" of logic and not hampered with having to say--- well, the AND connector was TFFF in Old Logic but is TTTF in New True Logic. In this textbook, I tell only the
"pure true logic". This textbook is far shorter in pages than #367. But there is going to be a transition phase in education where the error filled Boole & Jevons logic is thrown out and the AP logic becomes the only Logic available.
It may well be that Harvard University has a dumb math and philosophy department that feels teaching the error filled Boole and Jevons logic is good because they sell their textbook written by a Harvard dumb professor making money for the professor rather than teach true logic. And then the neighboring colleges and universities near Harvard, like Princeton and Yale, and Columbia and Dartmouth too conservative to keep teaching error filled Old Logic even though authors make more money like Harvard, decide to use AP's #367 logic textbook, feeling they cannot go the full distance of truth and use AP's #368 Logic textbook. Actually this reminds me of an episode in my own lifetime when I was at University of Cincinnati 1968-1972 and learning geology. The Continental Drift theory was not yet fully accepted by the geology community and so we were forced to buy a textbook of geology that had no, or little mention of Continental Drift. And so, well, my reckoning is that it will take 100 years to clear out all the worthless and damaging mind-rot that is Old Logic.
AP Demand: It is my demand on public education that all seeking a science degree in college and university to take 2 years of college Logic, hopefully using AP two textbooks, in hopes, that all those graduating with a science-degree can better think straight and think clearly. Awww, shucks, even my alma mater University of Cincinnati required want-to-be lawyers had to take mandatorily take Logic to get a lawyer degree. In hopes that their court appearances has them make logical and thoughtful arguments.
Side note: For me in writing #367 logic textbook became the hardest book for me to write in all my life. Up to then I had written a science book on average of 1 per week. I started writing science books in 2019, and now is January 2026. That is 7 years of elapsed time. All can do the math, where 366/7 = 52.2, meaning, I wrote a science book every passing week from 2019-2025. However, #367 took me a full year to write. The difficulty was that I was replacing the entire subject matter of Logic and not just adding on to the existing science. Old Logic is so full of error, that it is damaging to use to teach students logic. Ironic that the subject you hope students will learn to think better, is the subject that makes them confused and fogs up their minds.
Cover picture: A different cover picture than my #367 but the same subject matter of --The Logic Syllogism-- All Matter is made up of the 114 chemical elements. The Universe is matter, hence the Universe is one single chemical element Atom that forms an Atom Totality. Plutonium fits the numbers of math and physics the best.
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Table of Contents
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Part 1, What is Logic?
1) Prospectus of books to write in near future.
2) What is Logic in the first place?
3) How do we start Logic-- first with a definition of logic and then the connectors of logic in logical order.
4) What is the physics concept of True and of False?
5) The Logic Truth Tables in detail.
6) The AP Principle of Well Defining a concept.
Part 2, A short brief history of Logic.
7) Logic, formally starts in Ancient Greek time, along with deductive mathematics.
8) The first computer by Babbage influences Logic, and the Boole + Jevons mistakes.
Part 3, The Mechanics of Logic.
9) The 6 simple connectors of Logic.
10) Using mathematics to guide Logic.
11) What is Truth, and how does truth relate to Logic?
12) Existential quantifier.
13) Not-Equal connector.
14) AND connector.
15) OR connector.
16) If-->Then connector.
17) Universal quantifier.
18) Best understanding of "nothing or zero" in both math and logic.
19) The Size & Mechanics of the Logic Argument in New Logic.
Part 4, The Logic Argument starting with Syllogism and moving to more complicated Arguments.
20) The Syllogism is the most simple of argument.
21) More complicated arguments.
Part 5, The Rules of Inference corrected and renamed Laws of Inference.
22) Laws of Inference for Equal-Not, AND, OR, If-->Then.
23) Laws of Inference for Existential and Universal Quantifiers.
Part 6, Scientific Method is Logic.
24) Mathematical-Induction and where does UG, UI, EG, EI, fit in?
25) The Scientific Method is Logic in practice.
Part 7, The Atomic Theory.
26) The most exquisite Logic argument of all time-- the Atomic theory.
Part 8, Proof that God exists, but it is a Science God.
27) Proof is quite simple and shows us the superpower each and every day.
28) Our mission is to make a permanent colony on Europa before year 3025.
Part 9, Uniqueness, Consistency, Completeness and the biggest mistake of all in Old Logic.
29) Where does Universal Generalization UG, Universal Instantiation UI, Existential Generalization EG, Existential Instantiation EI, fit in?
30) Summing up all of Logic in uniqueness, consistency, completeness by the Scientific Method.
31) Biggest mistake of all in Old Logic.
Part 10, Many examples of Logic Fallacies, which in mathematics would simply be called mistakes.
32) Many examples of Logic Fallacies
Part 11, How Logic easily improves our lives.
33) Improving your life with applying Logic.
34) Applying Logic to our modern ever increasing digital world so you can be safer and more secure.
35) What to expect in Advanced Logic, my #368 book of science.
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Part 1, What is Logic?
1) Prospectus of books to write in near future.
The first sentence of this textbook should concern itself with "What is Logic"??? Why am I here studying logic?
I have been preaching for over decades now that people wanting a degree in college in science, should be required to take 2 years of college logic to earn that degree. For Logic is the science that helps you think straight and think clearly--- at least that is the hope.
And what better tool is there for scientists and engineers and persons of all careers to think straight and clear, by taking logic.
I often refer to the two textbooks of Logic I used at University of Cincinnati 1968-1972, one by Copi, Introduction to Logic, 4th edition and one by Thomason, Symbolic Logic An Introduction, 1970. I quote them as a reference to my own education in Logic. And I am not shy of saying, my superior gifts in doing science is my superior sense of Logic thinking. I would never have been the discoverer of the Atom Totality Theory, if not for my abilities with Logic.
Copi is straight-on with his first sentences.
"...this we do affirm-- that if truth is to be sought in every division of Philosophy, we must, before all else, possess trustworthy principles and methods for the discernment of truth. Now the Logical branch is that which includes the theory of criteria and of proofs; so it is with this that we ought to make our beginnings." -- (Sextus Empiricus, an ancient Greek physician)
1.1 What is Logic?
Logic is the study of the methods and principles used to distinguish good (correct) from bad (incorrect) reasoning. (Copi, 1972).
Thomason's Symbolic Logic does not start where I expect him to start.
1 Uninterpreted Syntax of a Logical System
1. This section has to do with some rules of constructing certain strings of symbols called formulas, and for manipulating these formulas to build arrays called proofs. (Thomason, 1970).
AP writes: sadly, Thomason should have started where Copi started and all textbooks of Logic. Tell the student or reader--- What is Logic.
I start this book with my definition of Logic.
Logic is the science that helps one better to think straight and to think clearly, especially needed by scientists.
A scientist without Logic, is like a physicist who knows no mathematics.
A scientist without logic, often finds himself/herself coming to wrong conclusions over the experiments they just performed.
My prospectus of books to write, next.
A batch of books to write, most important are two logic textbooks for the World has ___no logic textbook mostly free of errors____, at least almost free of errors. Instead,,,, by year 2025 massive errors in all college logic textbooks that I can see as far as the eyes can see, where all 4 of the simple logic connectors, the very most simple logic connectors are all in ruinous gross error.
The history of this textbook-- 1st year college Logic was based on a batch of books I began to write in year 2025.
#350 Geometry
#365 Calculus
#366 Logic for High School
#367 Teaching True Logic
#368 Pure True Logic
#369 Advanced Logic
#370 Advanced Geometry
#371 Physics electricity
#372 Plutonium Atom Totality, 10th edition
#373 Improving the Scientific Method
#374 Thermodynamics Corrected
#375 Philosophical-Physics--- not only what is the purpose of life, but the purpose of physics
#373 book of science for AP--- Improving the Scientific Method by Archimedes Plutonium
I am going to need to add the Scientific Method as a part of my two textbooks on Logic, and also making it the subject of a separate book, #373.
--- quoting what I wrote in my #365 book Calculus ---
Chapter 1, An introduction of what this book is about.
...For decades now, I have been excoriating the fact that no college or university in the world has a correct teaching program for the subject of Logic. No college or university as of 2025 can teach two years of college Logic with the correct truth tables of the 4 most simple Logic connectors of Equal-Not, AND, OR, If--> Then. Every college and university across the world teach Error filled logic of Boole and Jevons for they have all 4 connectors wrong. So, how could AP tell all science majors to take 2 years of college logic, when no college or university on Earth has a correct Logic textbook? This series along with math and physics textbooks is needed. I start with this Calculus textbook for the AP series #365 through #375 are school textbooks that replace error filled textbooks in colleges and universities across the globe of Earth.
--- end quoting what I wrote in my #365 book Calculus---
In the past 7 years I wrote these books on Logic-- 13 books, but no textbook to use in classroom. And that is the purpose of this book.
1Suspend all College Classes in Logic, until they Fix their Errors 1Suspend all College Classes in Logic, until they Fix their Errors.JPG 2Correcting Reductio Ad Absurdum 2Correcting Reductio Ad Absurdum.JPG 3DeMorgan 3DeMorgan.JPG 4Pragmatism 4Pragmatism.JPG 169Consistency 169Consistency.JPG 172Occam.JPG 172OccamR 188Language->eq 188Language.jpg 199paradoxes 199paradoxes.jpg 231AllAtoms 231AllAtoms.jpg 300Unification philosophy.jpg 300Unificationphilosophy 318math-subset-logic 328Lowenheim 348Feynman's Atomic theory
I write this textbook on Logic for the 1st year College Logic course. It does not have to be in the Freshman year, but hopefully the prospective student of science takes calculus before they take this Logic course, because I refer to calculus a-lot in this book. However, my referencing calculus in this book may better equip the student to understand calculus better. For Old Math has calculus all screwed up and messed up, so dumb is Old Math that they could never do a geometry proof of the Fundamental Theorem of Calculus. Why, the math community is so dumb they still use the foolish Reals as numbers, and can never understand that if you make the Polynomial the only valid function in math, you reduce all of Calculus to a mere add or subtract 1 from exponent. You see, AP calculus needs to replace all of Old Math calculus, in addition to replacing Old Logic.