Top News, Articles, and Interviews in Philosophy

In this lesson, we learn how to figure out the truth value for compound statements that are nested within other compound statements. The result gives us a truth value for the statement as a whole. We use the concept of ‘operator of the largest scope’ in everyday speech and this lesson will show you how that works. [More]
The type of logic we’ve been studying in this series is called “truth-functional” logic. In this lesson, we’ll learn more about what that term means and how understanding truth function can help us better analyze truth value. We'll also take a look at the puzzling case of the conditional and learn how to understand the truth values of this operator. [More]
The negation operator is the only ‘monadic’ operator in the operators we study in this course. You’ll learn what that means and how to use negation. The conditional is a special operator that is both a little more complicated to understand but also very powerful. You’ll learn how to construct conditionals and what each part of the conditional communicates about truth value. [More]
The first two of our four operators. Each operator has an impact on the truth value of a compound statement and in this lesson, you’ll learn how to use these operators. We'll also study how to understand the truth value of the whole compound statement relative to the truth value of the individual simple statements that make them up. [More]
In previous lessons we learned that simple statements are joined by operators to construct compound statements. In this lesson, you’ll learn more about how operators work and why using them properly is essential for building the correct logical relations between the terms in an argument [More]
We kick of module 2 of the Short Little Lessons in Logic course by looking how to replace simple statements with variables to isolate the form of an argument and separate form from truth value. This provides a foundation for the two-step process we’ll use to both analyze and construct deductive arguments. [More]
In this lesson, we revisit statements and you'll learn more about the specific syntax to use when writing them. The lesson covers the difference between simple and compound statements and how to create each type so they function properly in arguments. [More]
In the previous lesson, we learned a little metaphysics as a foundation for understanding how propositions work. In this lesson, we apply those concepts to better understand how propositions relate to statements in logic. We also refine our concept of truth value. [More]
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. [More]
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. [More]