A Paradox to Solve (house, quote, Ching, hands, Hang)

cardboard adolescent · 09-28-2008, 11:29 PM

let me set it up less ambiguously (because i don't get what you're saying)

a = b (or, a is b is true)
b = ~a (or, b is a is false)
the question is, a->b? (does a give you b?)
if yes, a -> b and so through substitution a->~a, which is contradictory
if no, a -> ~b, substituting a this time you get b->~b, which is also contradictory

a simpler expression of the same paradox would simply be:

this statement is false

09-28-2008, 11:29 PM	#31 (permalink)
cardboard adolescent ;) Join Date: Nov 2005 Location: CA Posts: 3,511	let me set it up less ambiguously (because i don't get what you're saying) a = b (or, a is b is true) b = ~a (or, b is a is false) the question is, a->b? (does a give you b?) if yes, a -> b and so through substitution a->~a, which is contradictory if no, a -> ~b, substituting a this time you get b->~b, which is also contradictory a simpler expression of the same paradox would simply be: this statement is false