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Short Little Lessons in Philosophy: Introduction to Logic

Short Little Lessons in Philosophy: Logic

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Welcome to Short Little Lessons in Philosophy. We’re happy you’re here and we’re looking forward to learning with you. The Short Little Lessons collection is designed to teach you philosophy in bite-sized lessons that you can do anywhere as you have time. This series covers the very basics of formal logic—the fundamental discipline for sound reasoning that applies not only to doing philosophy but can apply to just about any discipline and to life in general.

For each lesson, you can provide feedback or participate in a discussion about the lesson using the discussion forum at the bottom of each page. You will need to sign up for a free Disqus account in order to do this. Disqus is widely used across the web and is a reliable and rich forum tool so we encourage you to sign up if you don’t have an account and participate in the conversation. Learning is best done by interacting with others and some of the best learning happens when you help others. So if you see a question and have a good way of explaining a concept, please participate and offer your ideas.

Below is the outline and description for the course. Lessons without a link have not been published yet so check back regularly for updates.

Course Outline

Module 1: Introduction and Foundations

1. The Science of Logic

In this lesson, we introduce formal logic and how it can be used to help us become better thinkers. In it, we claim that there is a right way to organize our thoughts and logic is the tool that helps us do this. You’ll learn the definition of logic and some important terms that will help set you up for success in the rest of the course. Jump to the lesson

2. Arguments

Learn what an argument is and how it functions in logic. You’ll learn the three parts of an argument and we’ll introduce you to the building blocks of sound reasoning. We promise we won’t yell at you and say mean things. Not yet published. Check back soon!

3. Statements

To build arguments, we need to use very specific types of sentences. This helps our arguments to have the right structure so they’re, well, logical. This lesson talks about those sentences and sets the stage for determining what is true and what isn’t. Not yet published. Check back soon!

4. Truth Value

While logical analysis has a lot to do with the structure of arguments, knowing what is true and false is an important part of a good argument as well. In this lesson, you’ll learn what to do when you don’t know whether a claim is true or false as well as the role truth plays in logic. Not yet published. Check back soon!

5. Propositions

What is the difference between a numeral 7 and a number 7? What about the difference between syntax and semantics? Do you know what a symbol really does? Find out in this lesson and learn what these topics have to do with logical analysis. Not yet published. Check back soon!

6. More on Propositions

In the previous lesson, we learned a little metaphysics as a foundation for understanding how propositions work. Now we need to apply those lessons to the task of building arguments and we tackle that in this lesson. Not yet published. Check back soon!

7. More on Statements

To close out this module, we’ll revisit the idea of statements and you’ll start to learn how to construct arguments. We’ll take the foundational idea of a statement and specify it a bit more so we can use statements to build the premises and conclusion of an argument. With the lessons you’ve learned in this module, you’ll be ready to start building arguments which we’ll cover in Module 2! Not yet published. Check back soon!

Module 2: Symbolizing Arguments and Using Operators

Coming soon!

Module 3: Deductive Arguments

Coming soon!

Module 4: Inductive Arguments

Coming soon!

Module 5: Truth Tables

Coming soon!

Module 6: Categorical Logic

Coming soon!

Module 7: Informal Logic

Coming soon!

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