Paradox of Logical Privilege

Let us assume that logic cleaves the world at its corners. Then everything can be divided into the logically privileged, that which makes up the corners, and the not logically privileged, that which makes up everything else. Where then does the concept of logical privilege fall? If logical privilege is logically privileged, then it describes it as something that is at the corners, and not the content. But then it must describe not have described […]

Paradox Analysis

Apropos my earlier rant on people who think that paradoxes are meaningless, I figured I ought to take a stab at giving some meaning to paradox. To this end I reformulated a paradox in my terms. I suppose I should called it the Mirror Paradox, though ‘Looking-Glass Paradox’ seems more lyrical and has an historical nod. My apologies to whoever actually came up with this first, though I am sure I haven’t heard it before… […]

Are Paradoxes Meaningless?

Aaron Cotnoir has suggested that people think that paradoxes are meaningless.  I think they are lucky that they hadn’t suggested that to me unless they wanted to see me freak out. It was my good fortune to have my first real exposure to the work of Frege, Russell and Wittgenstein be from Thomas Ricketts.  I can’t remember verbatim what he said, but this is close: No one knows how long it took Frege to understand […]