Lessons in Paradoxes
A paradox is an apparently sound argument with an apparently
false conclusion.
The existence of a paradox implies a lack of understanding, so we try
to dissolve the paradox by employing one of the following resolutions:
 Deny that the reasoning is valid
 Deny that the premises are true
 Realize that the conclusion is true
Paradoxes are caused by allowing an unfounded assumption to slip by.
We can learn some valuable lessons by looking at the nature of this assumption.
Don't confuse two different levels that appear similar
Pascal's Wager
Anselm's Ontological Argument
Selfreferential statements may have no truth value
Lying Sisters
Curry's Paradox
In general, be careful with the math
Two Envelopes
Zeno's Paradox of Motion
Achilles and the Tortoise
Logic cannot operate on undefined terms
Sorites Arguments
Arbitrarily large does not imply infinite
Zeno's Paradox of Plurality
If the universe is deterministic, then thought is too
Newcomb's Paradox
English is not so great for logic
Modal Ambiguity
Other Notes
 Most philosophical debates are caused by two people assuming different definitions for the same term. The issue arises often because each person may think that their definition is selfevident and so they forget to check for consistency with the other person's definition.
