
Originally Posted by
chriscase
Well, when someone makes the claim that an axiom like the principle of non-contradiction (or its negation, the law of identity) cannot be questioned because any discussion of such a principle assumes it, I think we have to view the claim with some suspicion. Objectivists seem to want to use this type of argument to claim some sort of metaphysical status for their axioms. This runs counter to the usual pragmatic approach I am most familiar with, which accepts such axioms provisionally (or as J&M says, "ostensively"), and does not pursue any further argument regarding their metaphysical truth precisely because any attempt to use logic to prove such axioms is logically flawed.
And really there is no point to the metaphysical assertion unless one wants to use it to reach even less justifiable metaphysical claims. For the purposes of modelling the world, it is sufficient that the axioms we have allow us to construct a rich and consistent mathematical model. For others, their compulsion to argue the metaphysical truth of such axioms tells me that they wish to prove something further, something that is not logically supported by the axioms alone.
And as others have pointed out, even the "property is theft" example does not line up very well with the real world. You'd think philosophers obsessed with objectivity would have a clearer sense of how badly pure logic and semantics can miss the mark when put into the field. Consider the perspective of a villager on the concept of "property" during one of the periods of privatization of the commons. Hunting, fishing, and grazing grounds that had been commonly accessible became "property" of someone. For the owner that may not have meant much of a change in terms of his personal access to the resource, but in terms of everyone else, it meant potentially or practically restricted access. So, when the privatization of a grazing ground means that virtually everyone who used to have access to that resource in the past now has no right to it without the owner's permission, that certainly starts to look like someone has lost a valuable resource to me.
I also think this idea of the stolen or smuggled concept has an appeal. In fact, I have found myself using it in arguments. However, I'm not entirely clear exactly how to prove a particular argument is truly using the fallacy. What I'm trying to get to is a more rigorous definition of this fallacy so it's easier for me to see when someone is really making a self-refuting argument.