The upcoming end of the Harry Potter series demands piggyback attention, especially from a new blog like mine. Since I have been talking lately about concepts and definitions using toy examples from geometry, I thought I’d take on a more complex concept: magic. In this first of a series of posts aimed squarely at [...]

Posted in Culture, Philosophy, Thinking 11 Comments »

Let us say you are the sort of thoughtful (or idle) person who occasionally wonders about the meaning of everyday concepts. So there you are, at the fair, laughing at yourself in a concave mirror, when suddenly it hits you. You don’t really know what “concave” means. You just recall vague ideas of concave and [...]

Posted in Philosophy, Thinking 3 Comments »

We think about abstract concepts in terms of prototypical instances. These prototypical instances inform how we construct arguments using these concepts. At a more basic level, they determine how we go about constructing definitions themselves. Prototypes pop up in all sorts of conceptual domains, ranging from “war” to “airplane” to “bird.” So how do [...]

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