As per how the paradox is known A cannot be true and cannot be false. In other words A can neither be true nor can A be false. But this is statement B. And statement B is true as shown above. — TheMadFool
1) This statement is false
AND
2) This statement is neither true nor false — TheMadFool
the Liar statement is neither true nor false.
Therefore the Liar statement can be rephrased as
B: This statement is neither true nor false. — TheMadFool
Again, no. You're conflating statement A with a (different) statement about A. — Michael
No I'm not conflating the two statements. Please read below:
A: THIS (A) statement is false is
1. Not true
2. Not false
3. Not both true AND false
The only option left is that A is "neither true nor false.
So now we have the new statement:
THIS (A) statement is neither true nor false. This new statement is TRUE for A is neither true nor false. Thus even A (liar statement) is true — TheMadFool
Therefore the liar statement, which is equivalent to B, is also true. — TheMadFool
But B is a TRUE statement. Therefore the liar statement, which is equivalent to B, is also true. — TheMadFool
As others have been pointing out, the liar statement (A) is not equivalent to B. At the very least, you have to provide an argument for why the two statements are (supposedly) equivalent — aletheist
Let me try to explain it as clearly as possible. — TheMadFool
This statement is neither true nor false. This however is a TRUE statment about A. — TheMadFool
If B is TRUE, then it is not "neither true nor false". — Benkei
B can be 2(false). So again, can I make a claim that I've opened a new option [2. False] for the Liar statement which was written off in the original paradox? — TheMadFool
Since B is just a different version of A (they're logically equivalent — TheMadFool
Let us now assess what possible options of truth value are there for A:
1. True
2. False
3. Both true and false
4. Neither true nor false
The above 4 choices are jointly exhaustive and mutually exclusive. — TheMadFool
B is nothing more than a rephrased version of A. — TheMadFool
Options available for the truth value of A
1. True
2. False
3. True AND false
4. Neither true nor false — TheMadFool
If the statement (in this case B) is true or false (has a truth value) then it is not true that it's neither true nor false. — Benkei
Note A only concerns itself with the truth value of A. — TheMadFool
Get involved in philosophical discussions about knowledge, truth, language, consciousness, science, politics, religion, logic and mathematics, art, history, and lots more. No ads, no clutter, and very little agreement — just fascinating conversations.