LOGIC

Seven liberal arts subjects; Core curriculum in classical education: Grammar, Logic, Rhetoric, Arithmetic, Geometry, Music, and Astronomy.

The first three (Grammar, Logic, and Rhetoric) are grouped together as the Trivium, which focuses on language and communication skills.

The remaining four (Arithmetic, Geometry, Music, and Astronomy) form the Quadrivium, which deals with mathematical and scientific principles.

How to think, not what to think.

Logic is not a course in and of itself but part of the three fold path that lets you take facts and information absorbed in the grammar stage and think and reason critically about them. Next, when it is time for rhetoric  those thoughts can be expressed well and concisely.  

FREE
Online University Logic Courses

1. Stanford University - Introduction to Logic Instructor: Prof. Michael Genesereth  <-- This is a link to links. 

It takes to a page that is not secure. That looks like this all the links work except for the worksheets. You can spend quite a bit of time here. What is one of the primary ways they teach logic? Game play. Of course. Click the links and explore and discover for yourselves. 

2. Carnegie Mellon University - Logic & Proofs Introductory logic course designed for students from a broad range of disciplines, from mathematics and computer science to drama and creative writing.

3. MIT - Logic I (24.241)  In this course we will cover central aspects of modern formal logic, beginning with an explanation of what constitutes good reasoning. Topics will include validity and soundness of arguments, formal derivations, truth-functions, translations to and from a formal language, and truth-tables.

4. Harvard University - Structure and Function of Argument
2-3 hours a week for 8 weeks. Explore the shape and structures of arguments you encounter daily, helping improve your overall communication and English language skills.

Geometry

5. Hillsdale College - Mathematics and Logic: From Euclid to Modern Geometry  11 approx half hour lessons. For more than 2,300 years, Euclid’s Elements has provided the foundation for countless students to learn how to reason with precision and pursue knowledge in all fields of learning. This classic text of Western civilization provides profound tools to distinguish truth from error by means of self-evident principles.

You can learn these timeless lessons of Euclid and others in Hillsdale’s free online course, “Mathematics and Logic: From Euclid to Modern Geometry,” which examines the vital importance of good mathematics to the liberal arts. 

In this course, you will study the transformation of mathematics by the ancient Greeks, discover the fundamentals of logic and deductive reasoning, examine the central proofs of Euclid, learn about the birth of modern geometry, and much more.  

Brilliant.org - Logic Courses: take a guided, problem-solving based approach to learning Logic. These compilations provide unique perspectives and applications you won't find anywhere else. NOT FREE and be advised they do annual automatic billing. i got dinged an extra time because i forgot to cancel the automatic billing. This is a fantastic website highly recommended but membership is for ONE YEAR ONLY.  If you sign up USE IT. My elder son credits this website for helping him score well on standardized tests and it's cool and fun.

i can tell you directly after tutoring the grand children of one of the Admissions Officers from one of the Universities listed here, they are looking for HOMESCHOOLED students who TEST-WELL.  i have also tutored other admissions officers' children and they say the same: Homeschooled sons and daughters that test well will be chosen over public and privately schooled children that test well. 

Intermediate to Advanced
Logic Courses

6. MIT - Logic II (24.242)  This course begins with an introduction to the theory of computability, then proceeds to a detailed study of its most illustrious result: Kurt Gödel’s theorem that, for any system of true arithmetical statements we might propose as an axiomatic basis for proving truths of arithmetic, there will be some arithmetical statements that we can recognize as true even though they don’t follow from the system of axioms.

7. MIT - Modal Logic (24.244) Topics to be covered include (some or all of) the main systems of propositional modal logic, Kripkean “possible world” semantics, strict implication, contingent identity, intensional objects, counterpart theory, the logic of actuality, and deontic and / or epistemic logic. 

8. Harvard - Math 141b: Mathematical Logic II 
Welcome to Math Math 141b Mathematical Logic II! In this course, we will explore the various incompleteness results that limit mathematics, most notably the incompleteness theorems of Kurt Göde

You need but extend your finger...

Advanced

9. UNC - Phil 455: Symbolic Logic (Jim Pryor) Target Audience: Graduate students in Philosophy, and others with comparable preparation and instructor’s permission. Tell him you are a homeschooler that has completed several of the courses on this page. Tell him Crewton Ramone said to let you audit. 

LOGIC

10. Logic in Action - an open course in LOGIC

Developed by Johan van Benthem, Hans van Ditmarsch, Jan van Eijck, & Jan Jaspar

This is the homepage of the Logic in Action Open Course Project. This project was developed to provide a modern introduction to the field of logic with topics reflecting both its mathematical essentials and a broad view of its interdisciplinary role.

Video Lecture Playlists

11. Stanford - Introduction to Logic (YouTube)

https://www.youtube.com/watch?v=5IIZ9hK1FM4

12. John Sanders - Symbolic Logic (RIT) From John Sanders, Professor of Philosophy at the Rochester Institute of Technology, comes the course, Symbolic Logic. In 15 lectures, Sanders offers an “introduction to symbolic, or formal, deductive logic and techniques, such as truth tables, truth trees, and formal derivations".

https://www.openculture.com/symbolic-logic-a-free-online-course

13. Yale - Open Yale Courses. (YouTube)  Yale's philosophy of teaching and learning begins with the aim of training a broadly based, highly disciplined intellect without specifying in advance how that intellect will be used. The Yale Courses channel provides entry into the core of the University--its classrooms and academic programs--including complete sets of lectures from the Open Yale Courses initiative.

https://www.youtube.com/@YaleCourses/playlists

13.A. Yale - Open Yale Courses. Game Theory. (YouTube) 
24 1 hour lectures.

https://www.youtube.com/watch?v=nM3rTU927io&list=PL6EF60E1027E1A10B

Nature of Genius

13.B. Yale - Open Yale Courses. Nature of Genius. (YouTube)  
43 Binge watchable videos most around 10-20 minutes long. 

https://www.youtube.com/watch?v=wr9I3Zs0Sf4&list=PLh9mgdi4rNezGmUHVe4FAMHgSLXSqHV1n

HOME

Grammar
Rhetoric 
Back to the Trivium
TO: The Quadrivium

“A truth that's told with bad intent, Beats all the lies you can invent”. ~William Blake, Auguries of Innocence

“Love is not the absence of logic but logic examined and recalculated heated and curved to fit
inside the contours of the heart”. ~Tammara Webber, Easy

“I mean, you could claim that anything's real if the only basis for believing in it is that nobody's proved it doesn't exist!”. ~ J.K. Rowling

“Contrariwise,' continued Tweedledee, 'if it was so, it might be; and if it were so, it would be; but as it isn't, it ain't. That's logic”. ~Lewis Carroll, Alice’s Adventures in Wonderland / Through the Looking-Glass

“All opinions are not equal. Some are a very great deal more robust, sophisticated and well supported in logic and argument than others”. ~Douglas Adams, The Salmon of Doubt: Hitchhiking the Galaxy One Last Time

“There is no point in using the word 'impossible' to describe something that has clearly happened.” ~Douglas Adams, Dirk Gently's Holistic Detective Agency

i come from the reality where the thinker had his fist on his forehead not his chin. i specifically remember posing with fist on forehead...emulating the thinker...not on chin, on forehead.

CR Comment: Should i make comments about the blatant programming in this series? i feel like i should make a video rebuttal. mRNA tech and Bill Gates lauded called genius...among other blatant propaganda, what do you expect from Yale? They carry water for the establishment. Again if you wake up and use your critical thinking skills logic and reasoning you can take this for what it is...as Texans would say chew the meat spit out the gristle and bones. Talks about climate change and pandemics an vaccines...well you don't have to be a genius to see through those lies...the math will help you if your reasoning fails. All in all a good series though when they aren't selling pop culture and beats watching cable tee vee...or netflix...right?

For a glimpse into the thinking of a Yale Admissions Officer watch episode 214. If you are thinking of sending your child to college this is a good interview to watch.