Some tools introduced by Linnebo to show that mathematical entities are thin objects can also be applied to non-mathematical entities, which have been thought to be thin as well for a variety of reasons. In this paper, I discuss some difficulties and opportunities concerning the application of abstraction and interpretational modalities to mereological sums. In particular, I show that on one hand some prima facie attractive candidates for the role of an explanatory plural abstraction principle for mereological sums (in terms (...) of pluralities of summed entities) are not really explanatory; on the other hand, singular abstraction principles (in terms of single summed entities) are materially inadequate. Nonetheless, explanatory criteria of identity and conditions of existence for mereological sums are provided by classical extensional mereology independent of abstraction principles. Thus, given classical extensional mereology, the reasons why, according to Linnebo, mathematical abstracted entities are thin also hold for mereological sums. Finally, I contend that interpretational modalities can be used to characterise the process by which a subject adds sums of previously admitted entities to the domain of quantification. (shrink)

The triangle in general or the man as such are general objects. These are objects that possess the properties common to all the individual objects in their range. Stanisław Leśniewski and Tadeusz Kotarbiński, two Polish philosophers and logicians belonging to the Lvov-Warsaw School, produced several proofs aiming to show that such objects are impossible because the principles that govern them lead to a contradiction. In this paper I first clarify the structure of their proofs. Then I suggest a way to (...) elude their conclusion. In order to do that I use two Meinongian distinctions: the distinction between complete and incomplete objects, on the one hand, and the distinction between nuclear and extranuclear properties, on the other hand. I claim first that general objects are incomplete objects, i.e. they do not satisfy the ontological principle of the excluded middle, and second that the principle that governs the relations between the properties of general objects and the properties of the individual objects in their range should be restricted to nuclear properties. (shrink)

An argument against multiply instantiable universals is considered in neglected essays by Stanislaw Lesniewski and I.M. Bochenski. Bochenski further applies Lesniewski's refutation of universals by maintaining that identity principles for individuals must be different than property identity principles. Lesniewski's argument is formalized for purposes of exact criticism and shown to involve both a hidden vicious circularity in the form of impredicative definitions and explicit self-defeating consequences. Syntactical restrictions on Leibnizian indiscernibility of identicals are recommended to forestall Lesniewski's paradox.

Recent years have brought relativistic accounts of knowledge, first-person belief, and future contingents to prominence. I discuss these views, distinguish non-trivial from trivial forms of relativism, and then argue against relativism in all of its substantive varieties.

Philosophical Investigations, Volume 45, Issue 4, Page 512-527, October 2022.

I argue that there is no metaphysically substantive property of truth. Although many take this thesis to be central to deflationism about truth, it is sometimes left unclear what a metaphysically substantive property of truth is supposed to be. I offer a precise account by relying on the distinction between the property and concept of truth. Metaphysical substantivism is the view that the property of truth is a sparse property, regardless of how one understands the nature of sparse properties. I (...) then offer two new arguments against metaphysical substantivism that employ ideas involving recombination and truthmaking. First, I argue that there are no theoretically compelling reasons to posit the existence of a metaphysically substantive property of truth. Secondly, I argue that if we do posit the existence of such a property, then we end up with a view that is either contradictory or unmotivated. What we’re left with is a metaphysically deflationary account of the property of truth that fully respects the metaphysical ambitions of truthmaker theory, and that is consistent with both the view that truth is a deflated, explanatorily impotent concept and the view that truth is an explanatorily powerful concept. (shrink)

Paper responding to critique of Maurin (2002) presented by Herbert Hochberg in his “Relations, Properties and Particulars” (2004).

The problematic features of Quine's set theories NF and ML are a result of his replacing the higher-order predicate logic of type theory by a first-order logic of membership, and can be resolved by returning to a second-order logic of predication with nominalized predicates as abstract singular terms. We adopt a modified Fregean position called conceptual realism in which the concepts (unsaturated cognitive structures) that predicates stand for are distinguished from the extensions (or intensions) that their nominalizations denote as singular (...) terms. We argue against Quine's view that predicate quantifiers can be given a referential interpretation only if the entities predicates stand for on such an interpretation are the same as the classes (assuming extensionality) that nominalized predicates denote as singular terms. Quine's alternative of giving predicate quantifiers only a substitutional interpretation is compared with a constructive version of conceptual realism, which with a logic of nominalized predicates is compared with Quine's description of conceptualism as a ramified theory of classes. We argue against Quine's implicit assumption that conceptualism cannot account for impredicative concept-formation and compare holistic conceptual realism with Quine's class Platonism. (shrink)

The paper is devoted to the presentation and analysis of the philosophical views concerning logic and mathematics of the leading members of Cracow Circle, i.e., of Jan Salamucha, Jan Franciszek Drewnowski and Józef Maria Bocheński. Their views on the problem of possible applicability of logical tools in metaphysical and theological researches is also discussed.

Mentalism preserves the triad: brain's state — thought — state of affairs whereas phy‐sicalism identifies the former two elements of it. Both stands meet the famous difficulties. But these presuppose ontological actualism. On the ground of ontological possibilism, claiming the existence of all possible worlds, one may identify a thought with the corresponding state of affairs in a possible world. Yet, possibilism turns out to be too narrow to carry such an identification and requires a significant generalization.

Twardowski'sOn the Content and Object of Presentations(1894) is one of the most influential works that Austrian philosophy has left to posterity. The manuscriptLogik(1894–1895) supplements that work and allows us to reconstruct Twardowski's theory of judgement. These texts raise several issues, in particular whether Twardowski accepts propositions and states of affairs in his theory of judgement and whether his theory is acceptable. This article presents Twardowski's theory, shows that he accepts states of affairs, that he has a notion of proposition, and (...) that his theory is interesting and sophisticated. (shrink)

In part 4 of Meaning, Expression, and Thought, Davis rejects what he calls Fregean ideational theories, according to which the meaning of an expression is an idea; and then presents his own account, which states that, e.g., the meaning of ‘Primzahl’ in German is the property of meaning prime number. Before casting doubt on the latter ontology of meanings, I come to Frege’s defence by pointing out that he was not an advocate of the position Davis named after him because (...) Fregean senses are not lexical meanings and Fregean thoughts are not types of mental events. (shrink)

Using the work of Józef Bocheski as apositive example, this paper sets out the casefor a balanced use of historical knowledge indoing analytic philosophy. Between the twoextremes of relativizing historicism, whichdenies absolute truth, and arrogant scientism,which denies any constructive role for thehistory of ideas in philosophy, lies a viamedia in which historical reflection onconcepts and their history is placed at theservice of the system of cognitive philosophy.Knowledge of the history of philosophy, whilenot a sine qua non, can empower analyticphilosophy to (...) push forward to new and moresatisfactory solutions to old and new problems.Examples are adduced from Bocheski's oeuvreand from the author's own experience. (shrink)

The main aim of the paper is to reconstruct and analyse two methodological approaches to the problem of universals, presented in Bocheński’s papers “Powszechniki jako treści cech w filozofii św. Tomasza z Akwinu” and “The Problem of Universals.” It is argued that, although these approaches are rather different from historical and methodological points of view, they are still based on the same ontological ground, viz. on immanent realism. The article provides a detailed analysis and comparison of the respective views. Justification (...) is provided for the claim that Bocheński was an immanent realist and some of Bocheński’s detailed solutions are highlighted that may be of particular importance for further debate over the problem of universals. A couple of minor critical comments concerning some of Bocheński’s analyses are presented at the end of the paper. (shrink)

Intensional contexts are typically characterised by an apparent failure of either (A) the principle of the inter-substitution of co-referring terms salva veritate, or (B) existential generalisation. The difficulties which are seen to occur do so in contexts involving either modality or the propositional attitudes. In this paper attempts are made to determine whether or not Scheffler’s inscriptional analysis can provide a viable means of accounting for the problems which are thought to occur in intensional contexts. Somewhat unexpectedly, little effort has (...) been made in the past to address this issue. In this paper it is shown that Scheffler’s theory may be employed to account for the difficulties mentioned above, though further work needs to be done to show precisely how his analysis may be adapted so as to handle modal statements. Popular objections to Scheffler’s inscriptionalism are also addressed, particularly in the light of his theory being used to account for the problems of intensionality. It is found that, with certain qualifications, the aforesaid objections do not show Scheffler’s theory to be an unviable means of accounting for the intensionality problems. (shrink)

Le nominalisme est « le refus d'admettre toute entité autre qu'indivi-duelle ». II doit, pour justifier la simplicité de son ontologie, proposer une théorie de laconnaissance et une théorie sémantique qui ne présupposent ni l'une ni l'autre l'existence réelle des univer-saux. Certaines des voies qui s'ouvrent à cette entreprise délicate ont été systématiquement explorées vers la fin du Moyen Age et il y a tout à parier que, malgré les ruptures épistémologiques, les révolutions scientifiques et autres changements d'epistémè, les nominalistes (...) contemporains pourraient encore profiter de quelque façon de l'immense travail théorique accompli par leurs prédécesseurs médiévaux. C'est dans cet esprit que je voudrais procéder à une reconstruction sommaire de la théorie sémantique avancée au début du quatorzième siècle par le Fran-ciscain Guillaume d'Occam. Je ne m'engagerai pas dans une comparaison détaillée entre Occam et les auteurs contemporains, mais j'essaierai de présenter sans en trahir l'esprit la sémantique occa-miste de manière à en faire apparaître la pertinence pour les débats actuels. II serait possible, me semble-t-il, d'aller encore plus loin dans cette voie en mettant à profit les techniques formelles récentes pour axiomatiser la théorie d'Occam. Pour l'instant cependant, je me limiterai à une présentation plutôt informelle. (shrink)