Switch to: References

Citations of:

Plural reference and set theory

In Barry Smith (ed.), Parts and Moments. Studies in Logic and Formal Ontology. Philosophia Verlag. pp. 199--260 (1982)

Add citations

You must login to add citations.
  1. (1 other version)Mass nouns and plural logic.David Nicolas - 2008 - Linguistics and Philosophy 31 (2):211-244.
    A dilemma put forward by Schein (1993) and Rayo (2002) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but non-singular logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets, we arrive at a Russellian paradox when characterizing the semantics of mass nouns. Likewise, a semantics of mass nouns based upon predicate logic (...)
    Download  
     
    Export citation  
     
    Bookmark   17 citations  
  • Scattered Exemplification and Many-Place Copulas.Ingvar Johansson - 2013 - Axiomathes 23 (2):235-246.
    Can there be relational universals? If so, how can they be exemplified? A monadic universal is by definition capable of having a scattered spatiotemporal localization of its different exemplifications, but the problem of relational universals is that one single exemplification seems to have to be scattered in the many places where the relata are. The paper argues that it is possible to bite this bullet, and to accept a hitherto un-discussed kind of exemplification relation called ‘scattered exemplification’. It has no (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Austrian Philosophy: The Legacy of Franz Brentano.Barry Smith - 1994 - Chicago: Open Court.
    This book is a survey of the most important developments in Austrian philosophy in its classical period from the 1870s to the Anschluss in 1938. Thus it is intended as a contribution to the history of philosophy. But I hope that it will be seen also as a contribution to philosophy in its own right as an attempt to philosophize in the spirit of those, above all Roderick Chisholm, Rudolf Haller, Kevin Mulligan and Peter Simons, who have done so much (...)
    Download  
     
    Export citation  
     
    Bookmark   114 citations  
  • Formalizing Medieval Logical Theories: Suppositio, Consequentiae and Obligationes.Catarina Dutilh Novaes - 2007 - Dordrecht, Netherland: Springer.
    This book presents novel formalizations of three of the most important medieval logical theories: supposition, consequence and obligations. In an additional fourth part, an in-depth analysis of the concept of formalization is presented - a crucial concept in the current logical panorama, which as such receives surprisingly little attention.Although formalizations of medieval logical theories have been proposed earlier in the literature, the formalizations presented here are all based on innovative vantage points: supposition theories as algorithmic hermeneutics, theories of consequence analyzed (...)
    Download  
     
    Export citation  
     
    Bookmark   30 citations  
  • Formalizations après la lettre: Studies in Medieval Logic and Semantics.Catarina Dutilh Novaes - 2006 - Dissertation, Leiden University
    This thesis is on the history and philosophy of logic and semantics. Logic can be described as the ‘science of reasoning’, as it deals primarily with correct patterns of reasoning. However, logic as a discipline has undergone dramatic changes in the last two centuries: while for ancient and medieval philosophers it belonged essentially to the realm of language studies, it has currently become a sub-branch of mathematics. This thesis attempts to establish a dialogue between the modern and the medieval traditions (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • (1 other version)Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
    Ordinary English contains different forms of quantification over objects. In addition to the usual singular quantification, as in 'There is an apple on the table', there is plural quantification, as in 'There are some apples on the table'. Ever since Frege, formal logic has favored the two singular quantifiers ∀x and ∃x over their plural counterparts ∀xx and ∃xx (to be read as for any things xx and there are some things xx). But in recent decades it has been argued (...)
    Download  
     
    Export citation  
     
    Bookmark   73 citations  
  • (3 other versions)Truth-Makers.Kevin Mulligan, Peter Simons & Barry Smith - 1984 - Philosophy and Phenomenological Research 44 (3):287-321.
    A realist theory of truth for a class of sentences holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar, we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core of our theory is the (...)
    Download  
     
    Export citation  
     
    Bookmark   317 citations  
  • On the logic of classes as many.Nino B. Cocchiarella - 2002 - Studia Logica 70 (3):303-338.
    The notion of a "class as many" was central to Bertrand Russell''s early form of logicism in his 1903 Principles of Mathematics. There is no empty class in this sense, and the singleton of an urelement (or atom in our reconstruction) is identical with that urelement. Also, classes with more than one member are merely pluralities — or what are sometimes called "plural objects" — and cannot as such be themselves members of classes. Russell did not formally develop this notion (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • The Many and the One: A Philosophical Study of Plural Logic.Salvatore Florio & Øystein Linnebo - 2021 - Oxford, England: Oxford University Press.
    Plural expressions found in natural languages allow us to talk about many objects simultaneously. Plural logic — a logical system that takes plurals at face value — has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between (...)
    Download  
     
    Export citation  
     
    Bookmark   16 citations  
  • Plural Identity.Joongol Kim - 2019 - Philosophy and Phenomenological Research 102 (1):87-105.
    Plural identity—the relation of identity between some things xx and some things yy—has been standardly defined in terms of the plural relation one of (or among). This paper challenges that standard view. To that end, it will be argued, first, that the identity relation, singular or plural, can only be defined in a higher-order language, second, that the standard definition of plural identity in terms of the one of (or among) relation should be regarded instead as providing a criterion of (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Extensionality for fusions and pluralities.Jeroen Smid - 2018 - Synthese (Suppl 18):1-20.
    One of the more persistent debates in mereology is whether distinct wholes can have the same parts. Extensional mereologists hold that if there is no part that makes the difference, then there is nothing to distinguish the wholes, so sameness of parts implies identity. Non-extensionalists, however, do think there are cases where distinct wholes share all their parts. This paper argues that the kind of argument non-extensionalists employ can also be levelled against a widely accepted extensionality principle of plural logic. (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Is Mereology Ontologically Innocent? Well, it Depends….Christian J. Feldbacher-Escamilla - 2019 - Philosophia 47 (2):395-424.
    Mereology, the theory of parts and wholes, is sometimes used as a framework for categorisation because it is regarded as ontologically innocent in the sense that the mereological fusion of some entities is nothing over and above the entities. In this paper it is argued that an adequate answer to the question of whether the thesis of the ontological innocence of mereology holds relies crucially on the underlying theory of reference. It is then shown that upholding the thesis comes at (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • (3 other versions)Truth­-Makers.Kevin Mulligan, Peter Simons & Barry Smith - 2009 - Swiss Philosophical Preprints.
    During the realist revival in the early years of this century, philosophers of various persuasions were concerned to investigate the ontology of truth. That is, whether or not they viewed truth as a correspondence, they were interested in the extent to which one needed to assume the existence of entities serving some role in accounting for the truth of sentences. Certain of these entities, such as the Sätze an sich of Bolzano, the Gedanken of Frege, or the propositions of Russell (...)
    Download  
     
    Export citation  
     
    Bookmark   172 citations  
  • Composition and Identities.Manuel Lechthaler - 2017 - Dissertation, University of Otago
    Composition as Identity is the view that an object is identical to its parts taken collectively. I elaborate and defend a theory based on this idea: composition is a kind of identity. Since this claim is best presented within a plural logic, I develop a formal system of plural logic. The principles of this system differ from the standard views on plural logic because one of my central claims is that identity is a relation which comes in a variety of (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • (1 other version)Mass nouns and plural logic (extended abstract).David Nicolas - 2007 - In Mass nouns and plural logic (extended abstract). Hal Ccsd. pp. 211-244.
    A dilemma put forward by Schein (1993) and Rayo (2002) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but plural logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets when characterizing their semantics, we arrive at a Russellian paradox. And if we use predicate logic and mereoogical ums, the semantics turns out (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Vérifacteurs.Kevin Mulligan, Peter Simons & Barry Smith - 2008-2011 - Etudes de Philosophie 9:104-138.
    French translation of "Truth-Makers" (1984). A realist theory of truth for a class of sentence holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Plural quantification and the axiom of choice.Stephen Pollard - 1988 - Philosophical Studies 54 (3):393 - 397.
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  • Groups as pluralities.John Horden & Dan López de Sa - 2020 - Synthese 198 (11):10237-10271.
    We say that each social group is identical to its members. The group just is them; they just are the group. This view of groups as pluralities has tended to be swiftly rejected by social metaphysicians, if considered at all, mainly on the basis of two objections. First, it is argued that groups can change in membership, while pluralities cannot. Second, it is argued that different groups can have exactly the same members, while different pluralities cannot. We rebut these objections, (...)
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Count nouns, mass nouns and their acquisition (1997).David Nicolas - manuscript
    In English, some common nouns, like 'dog', can combine with determiners like 'a' and 'many', but not with 'much', while other nouns, like 'water', can be used together with 'much', but not with 'a' and 'many'. These common nouns have been respectively called count nouns (CNs) and mass nouns (MNs). How do children learn to use CNs and MNs in the appropriate contexts? Gaining a better understanding of this is the goal of this paper. To do so, it is important (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • A Defense of Second-Order Logic.Otávio Bueno - 2010 - Axiomathes 20 (2-3):365-383.
    Second-order logic has a number of attractive features, in particular the strong expressive resources it offers, and the possibility of articulating categorical mathematical theories (such as arithmetic and analysis). But it also has its costs. Five major charges have been launched against second-order logic: (1) It is not axiomatizable; as opposed to first-order logic, it is inherently incomplete. (2) It also has several semantics, and there is no criterion to choose between them (Putnam, J Symbol Logic 45:464–482, 1980 ). Therefore, (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations