Aerts et al. provide a valuable model to capture the interactive nature of conceptual combination in conjunctions and disjunctions. The commentary provides a brief review of the interpretation of these interactions that has been offered in the literature, and argues for a closer link between the more traditional account in terms of concept intensions, and the parameters that emerge from the fitting of the Quantum Probability model.
Would be fairer to call Peirce’s philosophy of language “extensionalist” or “intensionalist”? The extensionalisms of Carnap and Quine are examined, and Peirce’s view is found to be prima facie similar, except for his commitment to the importance of “hypostatic abstraction”. Rather than dismissing this form of abstraction (famously derided by Molière) as useless scholasticism, Peirce argues that it represents a crucial (though largely unnoticed) step in much working inference. This, it is argued, allows Peirce to transcend the extensionalist-intensionalist dichotomy itself, (...) through his unique triadic analysis of reference and meaning, by transcending the distinction between (as Quine put it) “things” and “attributes”. (shrink)
two-dimensional modal framework introduced by Evans  and developed by Davies and Humberstone.  This framework provides Chalmers with a powerful tool for handling the most serious objection to conceivability arguments for dualism: the problem of..
The paper analyses Frege's approach to the identity conditions for the entity labelled by him as Sinn. It starts with a brief characterization of the main principles of Frege's semantics and lists his remarks on the identity conditions for Sinn. They are subject to a detailed scrutiny, and it is shown that, with the exception of the criterion of intersubstitutability in oratio obliqua, all other criteria have to be discarded. Finally, by comparing Frege's views on Sinn with Carnap's method of (...) extension and intension and the method of intensional isomorphism, it is proved that these methods do not provide a criterion for the identity of Frege's Sinn, even for extensional contexts, that the concept of intension does not coincide, as stated by Carnap, in these contexts, with Frege's concept of Sinn, and that Carnap's claim that in oratio obliqua Frege's semantics leads to an infinite hierarchy of Sinn entities can be questioned at least hypothetically in the light of certain new historical facts. (shrink)
Cet article, qui fait suite à une publication précédente (« Les apories du concept de redondance logique chez Bolzano »), poursuit un double objectif : (I) démontrer que les apories que nous avions relevées peuvent être surmontées par l’analyse des rapports extensionnels entre représentations ; (II) évaluer la contribution de Bolzano à la question classique des rapports intension/extension telle qu’elle a été posée par Port-Royal. La logique des classes, dont Bolzano pose les fondements ( Théorie de la science, 2 (...) e partie, 3 e section), permet en effet de dégager les lois de la redondance logique — auxquelles Bolzano ne cesse de faire implicitement référence sans en donner la formule — et de délimiter le champ d’application du principe classique de proportionnalité inverse entre intension et extension auquel déroge précisément la redondance. La critique bolzanienne de la logique de Port-Royal prend alors tout son sens. (shrink)
Dans le Continu, Hermann Weyl donne une nouvelle assise aux notions d’ensemble et de fonction, pour assurer aux mathématiques leur applicabilité à la physique, et résoudre ainsi le problème du continu. Les notions introduites, éloignées de la théorie des ensembles, prêtent à confusion et à multiples interprétations.Nous nous proposons d’éclairer le sens du déplacement que Weyl opère dans ces notions. Nous présentons une synthèse des thèses épistémologiques soutenues dans Le Continu et résolvons certains problèmes interprétatifs. Par une approche comparative, nous (...) soulignons l’écart entre les principes logico-mathématiques du Continu et ceux de la théorie des ensembles. Nous nous centrons sur la distinction entre intension et extension, et sur la place attribuée aux entiers naturels pour le fondement des mathématiques. (shrink)
This article examines one highly localized set of developments to the Buddhist doctrine of word meaning that was made by twelfth and thirteenth century Tibetan Buddhist epistemologists primarily schooled at gSaṅ phu Monastery in central Tibet. I will show how these thinkers developed the notion of a concept (don spyi) in order to explain how it is that words are capable of applying to real objects, and how concepts can be used to capture elements of word meaning extending beyond reference (...) to real objects. (shrink)
This paper re-addresses Quine's indeterminacy of translation/inscrutability of reference thesis, as a problem for cognitive theories of content. In contradistinction with Quine's behavioristic semantics, theories of meaning, or content, in the cognitivist tradition endorse intentional realism, and are prone to be unsympathetic to Quine's thesis. Yet, despite this fundamental difference, I argue that they are just as vulnerable to the indeterminacy. I then argue that the vulnerability is rooted in a theoretical commitment tacitly shared with Quine, namely, the commitment to (...) the view that the perceptual input to the cognitive system is extensional - differentiating objects, but not the aspects (or, properties) they manifest. Thus, input extensionalism, and not behaviorism, is what forces the indeterminacy. I conclude by suggesting that the solution to Quine's indeterminacy problem hinges on the elaboration of an intensional theory of perceptual input, and of content in general. (shrink)
New light is shed on Leibniz’s commitment to the metaphysical priority of the intensional interpretation of logic by considering the arithmetical and graphical representations of syllogistic inference that Leibniz studied. Crucial to understanding this connection is the idea that concepts can be intensionally represented in terms of properties of geometric extension, though significantly not the simple geometric property of part-whole inclusion. I go on to provide an explanation for how Leibniz could maintain the metaphysical priority of the intensional interpretation while (...) holding that logically the intensional and the extensional stand in strictly inverse relation to each other. (shrink)
From a logical viewpoint, object is never defined, even by a negative definition. This paper is a theoretical contribution about object using a new constructivist logical approach called Logic of Determination of Objects founded on a basic operation, called determination. This new logic takes into account cognitive problems such as the inheritance of properties by non typical occurrences or by indeterminate atypical objects in opposition to prototypes that are typical completely determinate objects. We show how extensional classes, intensions, more and (...) less determined objects, more or less typical representatives of a concept and prototypes are defined and organized, using a determination operation that constructs a class of indeterminate objects from an object representation of a concept called typical object. (shrink)