I must plead ignorance here. Why is this argument for necessary truth problematic from Russell’s POV? What is the “universal operator” here? What nonsensical propositions does it lead to here? Please 'splain yerself.
Well, this is going to be fun. This is what you said:
FrankSchnabel:
That there must be some metaphysical (necessary) truths is shown by examining the proposition “No truth is necessary.” IOW, it is necessarily true that no truth is necessary, or, it is necessarily true that all truth is contingent. Self-contradictory nonsense.
First, we can transform this statement into “
All truths are contingent” - and the universal operator is now plainly “visible”. The problem partially arises from “sloppiness”: what does it mean that something is “true” in such a generic fashion? We already agreed that “truth” can cover either correspondence to some physical object or event (P-truth, if you will), or it comes as a corollary of certain axioms (C-truth).
There is no such thing as “truth” as an ontological object, and we already agreed on this, too. The concept of “metaphysical truth” is obviously not physical, therefore it is conceptual - which is obvious, since we deal here with conceptual entities.
So the veracity of the proposition “All truths are contingent” must be evaluated as a corollary of some axioms - or it must be accepted as an axiom. Question: which one will it be? If it is accepted as an axiom, then the veracity is established - axiomatically. If it is not an axiom, then it should be shown as the result of a logical chain, stemming from some axioms. What are those axioms?
Now, **in a very good sense **we can say that “All truths are contingent”.
Since “truth” is not an ontological entity, its existence relies on some agent who is able to compare reality to a mind-model of reality and establish if the model properly reflects reality - and in this sense - it is
contingent upon the existence of such agent.
If the “truth” is a conceptual truth, then it presupposes the existence of an agent, who is able to conceptualize and follow a logical chain from some axioms. This also presupposes the existence of such agent,
and as such it is contingent.
No contradiction arises. Observe that the proposition “No truth is necessary” precisely equals to “All truths are contingent”.
All this reminds me of the claim that empiricism is self-contradictory. The argument usually runs like this:
“Empiricism states that the veracity of
any proposition can only be established through empirical methods. Therefore this can be applied to this proposition, which is clearly nonsense, since it cannot be empirically verifed.”
Looks good, doesn’t it? Yet, it is a false argument. It is incorrect, because empiricism is incorrectly defined. Properly stated empiricism says that “all propositions **about ontological reality **must be evaluated via empirical ways”. Since empiricism says nothing about propositions of axiomatic systems, it cannot be applied to itself.
As I said I agree that there are propositions which are always true (as long as there is an agent who can state the proposition) but those propositions are axiomatic and as such pretty trivial. The ones you quoted belong to the
duh! category - at least for me.