A paradox is what happens when the conclusion tends to disprove one of the premises. The popular paradox we like to talk about is naive set theory and Bertrand’s paradox. That paradox shows up in linguistics as well, it is a problem of categorization and self reference. Paradoxes go back a lot further than that, Zeno famously presented a list of paradoxes that would lead you to conclude there is infinite distance between any two points in space. Philosophers argued for thousands of years about whether a void could truly exist.
An oxymoron is like spending a lot of money to look poor. It is contradictory but you don’t disprove a premise with the conclusion. True paradoxes, like various time traveling paradoxes (i.e. predestination paradox) are a lot more rare. They are rare because a true paradox can’t be broken. Like with Zeno’s paradox of infinite distances, an empirical philosopher like Epicurus or Democritus would say ‘that is all well and good but I can observe two objects pass each other so there cannot be infinite distances between them. Just because I can’t mathematically pinpoint the exact moment one passes the other doesn’t mean it doesn’t happen at all. Your conclusion tends to disprove a premise because the premise was untrue not because of the conclusion, but because it was untrue to begin with.’ Similarly, I don’t have to get really complicated about the void because the mere fact we can observe motion indicates a void must exist.
Categorization paradoxes, or self referential paradoxes are a little trickier to deal with because you can’t directly observe sets and categories, they are only logical constructs. You can break the paradox simply; logic, mathematics, language, bivalent categories, are all human constructs and therefore needn’t be considered to be 100% internally consistent in order to be useful. Language still makes sense, and can still be used as a tool even if we can’t categorize words that describe themselves and words that don’t describe themselves for every word except for autologic and homological.
Latest Answers