RE: Exposing the Intellectual Bankruptcy of Atheists Criticizing Religion
November 10, 2015 at 3:05 pm
(This post was last modified: November 10, 2015 at 3:07 pm by Neo-Scholastic.)
The lair’s paradox presents no problem for the logical version of the PNC, no statement can be both true and false, because it (the liar's paradox) tacitly relies on something impossible: an essentially order series without a first member. Consider the following liars paradox:
This sentence is false.
In this proposition, the meaning of the sentence depends on the meaning of the subject of the sentence. The meaning of the sentence’s subject depends on the meaning of the subject of the sentence’s subject and so on. The series has no first member and it looks something like this:
This sentence is false.
(This sentence is false) is false.
((This sentense is false) is false) is false.
(((This sentence is false) is false) is false) is false…
This is an essentially ordered series without a first member.
The meaning of the final member of this series, the simple statement “this sentence is false”, depends on the meaning of a first member. Without a first member to supply meaning to the phrase, “this sentence”, the lair’s paradox has no meaning. No one can assign a truth value to a proposition that has no meaningful content. You cannot give what you do not have. The logical PNC stands.
This sentence is false.
In this proposition, the meaning of the sentence depends on the meaning of the subject of the sentence. The meaning of the sentence’s subject depends on the meaning of the subject of the sentence’s subject and so on. The series has no first member and it looks something like this:
This sentence is false.
(This sentence is false) is false.
((This sentense is false) is false) is false.
(((This sentence is false) is false) is false) is false…
This is an essentially ordered series without a first member.
The meaning of the final member of this series, the simple statement “this sentence is false”, depends on the meaning of a first member. Without a first member to supply meaning to the phrase, “this sentence”, the lair’s paradox has no meaning. No one can assign a truth value to a proposition that has no meaningful content. You cannot give what you do not have. The logical PNC stands.
