Read another response by Stephen Maitzen
Read another response about Logic
Recently I asked a question about logic, and the answer directed me to an SEP entry, which then took me to two other SEP entries, on Russell's paradox and on the Liar's paradox. Frankly, after having read through those explanations, there was a glaring omission from every cited philosopher, and I wondered if everyone was overcomplicating things: I don't see how there is any "paradox" at all. Consider the concept of a "round square" or a "six-sided pentagon." Those are nonsensical terms, because of the structural nature of the underlying grammar. They are neither logical nor illogical, they are merely grammatically inconsistent at the fundamental level of linguistic definition. The so-called "paradox" of Russell and the Liar seem to me to be exactly the same kind of nonsensical formulations: the so-called "paradox" is merely a feature of the language, these concepts also are grammatically inconsistent at the fundamental level of linguistic definition. Russell's "paradox" is just as "paradoxical" as a seven-sided hexagon: it's not a "logic" problem at all, it is a grammar problem. I suppose then the panel's response will then be: "suppose it is 'merely' a grammar problem: that merely leads us to another, related conundrum: what 'rules' do we need so that we can identify when it is not a logic problem and it is a grammar problem?"