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- Leon Gumański (1960). Singular Propositions, and 'This' as a Quantifier. Mind 69 (276):534-543.
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Those who want to interpret the quantifier ? (3 x) (. . .x. . .)'as having no existence commitment often fail to distinguish between this objective and that of merely changing the values of the variables. The confusion vitiates solutions of the singular existence anomalies which purport to be based on a non?existential interpretation of the quantifier. An example of one who makes the distinction but still interprets the particular quantifier non?existentially is offered by Czeslaw Lejewski. Objection to the classical interpretation of the quantifiers often runs hand in hand with aversion to extensional logic. However, it is at least arguable that such an aversion is the result of underestimating the resources of extensional logic. These points arc discussed in the wake of Professor Marcus's recent paper in this journal ?Interpreting Quantification?
No categories
The complexity of the scholastic view of descent stems from the attempt to find a reply to three different questions at the same time: those pertaining to the meaning of propositions, the relationships of inference between propositions, and the truth conditions of propositions. From each of these issues there arises a different sequence of developments to this doctrine, each of which has its own problems and solutions. Initially, the concept of descent is introduced in response to the problem of determining the meaning of quantified propositions. This is the first axis of the development of the doctrine of descent, according to which descent consists of the construction of individual propositions which make explicit the meaning of the quantified proposition. The appearance of these new propositions, however, gives rise to the second axis in the development of the doctrine of descent. As soon as we have this multiplicity of singular propositions, it is possible to forget where they came from and how, simply considering the problem of their logical relationship with the original quantified proposition. This is how descent comes to be viewed not as an analysis of the meaning of the proposition, but as a relationship of consequence: that which could be established between a quantified proposition and a set of singular propositions. Lastly, when descent is considered as a relationship of consequence, it is possible to develop this doctrine in a third direction, given that this relationship between a quantified proposition and a set of singular propositions can be used as a means of showing the truth or falsehood of the quantified proposition. Pardo’s text is a good example of the problems which the concept of descent inevitably encounters when it is approached from three points of view which are superimposed upon each other without regard for their radical diversity.
This paper develops a novel version of anti-platonism, called semantic fictionalism. The view is a response to the platonist argument that we need to countenance propositions to account for the truth of sentences containing `that'-clause singular terms, e.g., sentences of the form `x believes that p' and `σ means that p'. Briefly, the view is that (a) platonists are right that `that'-clauses purport to refer to propositions, but (b) there are no such things as propositions, and hence, (c) `that'-clause-containing sentences of the above sort are not true-they are useful fictions. Semantic fictionalism is an extension of Hartry Field's mathematical fictionalism, but my defense of the view is not analogous to his. One of the many virtues of my defense is its generality: it explains how we can adopt a fictionalist stance towards all abstract singular terms, e.g., mathematical singular terms and `that'-clauses.
It seems that every singular proposition implies that the object it is singular with respect to exists. It also seems that some propositions are true with respect to possible worlds in which they do not exist. The puzzle is that it can be argued that there is contradiction between these two principles. In this paper, I explain the puzzle and consider some of the ways one might attempt to resolve it. The puzzle is important because it has implications concerning the way we think about the relationship between a proposition and the claim that the proposition is true.
A formal analysis is offered of Pseudo-Scotus's theory of the conversion of (i) propositions containing singular terms (including propositions with a singular term as predicate): and (ii) propositions with a quantified predicate. An attempt is made to steer a middle course between using the Aristotelian logic as a framework for the analysis, and using a Fregean framework.
A singular thought about an object o is one that is directly about o in a characteristic way—grasp of that thought requires having some special epistemic relation to the object o, and the thought is ontologically dependent on o. One account of the nature of singular thought exploits a Russellian Structured Account of Propositions, according to which contents are represented by means of structured n-tuples of objects, properties, and functions. A proposition is singular, according to this framework, if and only if it contains an object as a constituent. One advantage of the framework of Russellian Structured propositions is that it promises to provide a metaphysical basis for the notion of a singular thought about an object, grounding it in terms of constituency. In this paper, we argue that the attempt to ground the peculiar features of singular thoughts in terms of metaphysical constituency fails, and draw some consequences of our discussion for other debates.
No categories
In Frege’s Puzzle, Nathan Salmon argues that his theory of singular propositions enables him to refute Saul Kripke’s claim that some identity statements are necessary and yet a posteriori. In this paper, through a critical examination of Salmon’s rejoinders to my earlier objections to his argument, I show what implications the theory of singular propositions has for the notion of apriority. I argue that Salmon’s handling of the ‘trivialization problem,’ which presents serious difficulties for his ‘absolute’ account of apriority, leaves a great deal to be desired. I suggest, in conclusion, that the theorist of singular propositions should hold a relative view of apriority.
Most direct reference theorists about indexicals and proper names have adopted the thesis that singular propositions about physical objects are composed of physical objects and properties (and/or relations—I will use "properties" for brevity's sake).1 There have been a number of recent proponents of such a view, including Scott Soames, Nathan Salmon, John Perry, Howard Wettstein, and David Kaplan.2 Since Kaplan is the individual who (at least recently) is best known for holding such a view, let's call a proposition that is composed of objects and properties a K-proposition. In this paper, I will attempt to show that (given some fairly plausible assumptions) a direct reference view about the content of proper names and indexicals leads very naturally to the position that all singular propositions about physical objects are K-propositions.3 Then, I will attempt to show that this view of propositions is false. I will spend the bulk of the paper on this latter task. My goal in the paper, then, is to show that adopting the direct reference thesis comes at a cost (or for those who thought it already came at a cost because of (alleged) problems the view has with problems such as opacity and the significance of some identity statements; it comes at even more of a cost).
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