All truths are relative, and this is the only absolute principle.
wrote August Comte.
Anyway a radical relativism poses a serious problem: if every truth is always relative, is the latter an absolute truth?
(R) Self-refutation of Relativity:
(1) All truths are relative.
(2) If (1) is true, the truth of (1) is not relative, then (1) is false.
(3) If (1) is false, the truth is not always relative.
From the truth of (R), it follows that (1) "every truth is relative" is always false.
Refutation of (R):
(4) It is possible to adopt an axiomatic system where the truth value of (R) changes,
(5) Therefore (R) is not always true, and consequently (1) "every truth is relative" is not always false.
Is it correct?