Logic

  • The third important property of all concepts is their universality. But what does that mean, and just how does it work? Here are three different proposals for solving “The Problem of Universals,” as this mystery has become known over the past 2500 years.

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  • We’ve learned that our first act of the mind, simple apprehension, leaves us with concepts we use to make sense of the world around us. How? It’s time for a deeper dive on the concept of a concept.

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  • We’ve finished our introductory survey of the field of traditional logic. Let’s take stock of where we’ve been and where we’re going.

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  • Apologies for my voice here, but I know many Virginia students missed this material earlier this week because of trouble near the American Legion Bridge. This lecture addresses a major theme we will revisit many times throughout the course: the indispensable yet often confounding role played by the language by which we express our thoughts.

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  • For centuries, logicians have understood that even very simple acts of reasoning have three distinct dimensions. To understand the science of sound reasoning, we need to appreciate the marvelous (though hidden) complexity of our thought processes.

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  • Before we spend a year learning about the way to distinguish what’s true from what’s false, we probably ought to confront the radically skeptical suggestion that truth doesn’t really exist.

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