By Nicholas Griffin, Dale Jacquette
A century after ‘On Denoting’ used to be released, the talk it initiated maintains to rage. at the one hand, there's a mass of recent historic scholarship, approximately either Russell and Meinong, which has now not circulated very a ways past expert students. nevertheless, there are carrying on with difficulties and controversies bearing on modern Russellian and Meinongian theories, a lot of them concerning concerns that easily didn't ensue to the unique protagonists. This work provides an outline of the newest ancient scholarship at the philosophers in addition to specified debts of a few of the issues dealing with the present incarnations in their theories.
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Extra info for Russell vs. Meinong: The Legacy of 'On Denoting'
On the envisaged nominalist interpretation of number theory, arithmetical statements will be recast in forms that do not contain numerical terms at all but will contain in their place numerically definite quantifiers of the form ‘there are n…’. Clearly, Dummett is correct to count the nominalist position offered as a rejection of mathematical realism. But the question to be addressed is whether he is right to do so solely on the grounds that the interpretation refuses to treat arithmetical sentences at face value.
Russell 1944:13–14) The treatment of class-symbols as nonsignificant parts of significant sentences was first tentatively explored under the name ‘The No Classes Theory’ as one of three possible solutions to the contradictions in a paper presented in 1905. By the time that the paper was published in 1906, however, Russell was prepared to attach to it the following note: ‘From further investigation I now feel hardly any doubt that the no-classes theory affords the complete solution of all the difficulties stated in the first section of this paper’ (Russell 1906a: 164).
73) It is important to note that this does not simply bring us back full circle to the need for a present King of France to have being in order for the denoting concept the present King of France to be significant. This is why the passage quoted from §427 of the Principles is misleading. Russell’s point there is that something must exist to fill the subject position in a proposition if there are meaningful propositions about the sorts of things he lists. This requirement, however, is met by the presence of a denoting concept in the proposition; there is no need to make the further demand that the thing denoted by the concept must have either full-blooded existence or the more diluted being.