(November 18, 2016 at 5:40 pm)Alasdair Ham Wrote:(November 17, 2016 at 11:47 pm)Jörmungandr Wrote: "This statement is false." and "This statement is not true." are not equivalent statements.They are. The definition of "false" is "not true".
She’s not talking about the definitions of “false” and “not true”. She’s talking about the statements as a whole. Take for example, “Pluto is a dog.” Pluto is also a celestial body. She’s leaving open the possibility that a statement can be both true in one sense and untrue in another without being definitively false. Which to my mind is a tangential side issue. The real issue is that any attempt to define the referent of the subject, "this statement", in the Lair Paradox starts an interminable series:
This statement is not true.
[This statement is not true] is not true.
[[This statement in not true] is not true] is not true.
The five word sentence doesn't have that problem.