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Elements of symbolic logic

London: Dover Publications (1980)

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  1. Pure Quotation in Linguistic Context.Brian Rabern - 2023 - Journal of Philosophical Logic 52 (2):393-413.
    A common framing has it that any adequate treatment of quotation has to abandon one of the following three principles: (i) The quoted expression is a syntactic constituent of the quote phrase; (ii) If two expressions are derived by applying the same syntactic rule to a sequence of synonymous expressions, then they are synonymous; (iii) The language contains synonymous but distinct expressions. In the following, a formal syntax and semantics will be provided for a quotational language which adheres to all (...)
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  • Abstract Events in Semantics.Gilles Kassel - 2022 - Philosophia 50 (4):1913-1930.
    Here, we defend the thesis whereby the event plays a main role of sense in the meaning of certain sentences. This thesis is based on the one hand on recent work in the metaphysics of so-called “happening” entities, which has led to a distinction between concrete physical processes and abstract events, the latter being conceived as psychological constructs accounting for stabilities or changes in the world. Furthermore, we look back at the work on intentionality carried out in the Brentanian school (...)
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  • The Subject Matter of Logic: Explaining what logic is about.Elizabeth Olsen - 2021 - Dissertation, Victoria University of Wellington
    Logicians disagree about how validity—the very heart of logic—should be understood. Many different formal systems have been born due to this disagreement. This thesis examines how teachers explain the subject matter of logic to students in introductory logic textbooks, and demonstrates the different explanations teachers use. These differences help explain why logicians have different intuitions about validity.
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  • Future Displacement and Modality.Fabrizio Cariani - manuscript
    In this survey article, I discuss the variety of ways in which language allows us to talk about the future. Topics discussed include how the category of predictive expressions broadly understood relates to the syntactic category of tense; what it means to say that a language does not have tense; how predictiveness relates to modality; and finally technical issue concerning the scope of negation in a semantics that is capable of shifting evaluation towards the future.
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  • Force and Choice.Sam Carter - 2022 - Linguistics and Philosophy 45 (4):873-910.
    Some utterances of imperative clauses have directive force—they impose obligations. Others have permissive force—they extend permissions. The dominant view is that this difference in force is not accompanied by a difference in semantic content. Drawing on data involving free choice items in imperatives, I argue that the dominant view is incorrect.
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  • Idempotent Variations on the Theme of Exclusive Disjunction.L. Humberstone - 2021 - Studia Logica 110 (1):121-163.
    An exclusive disjunction is true when exactly one of the disjuncts is true. In the case of the familiar binary exclusive disjunction, we have a formula occurring as the first disjunct and a formula occurring as the second disjunct, so, if what we have is two formula-tokens of the same formula-type—one formula occurring twice over, that is—the question arises as to whether, when that formula is true, to count the case as one in which exactly one of the disjuncts is (...)
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  • Token reflexivity and logic.Geoff Georgi - 2021 - Semiotica 2021 (240):241-259.
    Token-reflexive theories of indexicals – words like ‘I,’ ‘here,’ and ‘today’ – are widely thought to face a problem in account for intuitively valid arguments involving indexicals. Yet all discussions of the problem with which I am familiar focus on particular examples or on particular rules of inference. In this paper, I first state the problem in its full generality, and then argue that two recent attempts to reject the problem fail. Finally, I consider the proposal by García-Carpintero that demonstratives (...)
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  • Perspectives on de se immunity.Víctor M. Verdejo - 2021 - Synthese 198 (10):10089-10107.
    Concept-individuating reference rules offer a well-known route for the explanation of immunity to error through misidentification in judgments involving first person or de se thought. However, the ‘outright’ version of this account—one that sanctions a one-to-one correspondence between the reference-fixing rule and immunity—cannot do justice to the unassailable ground-relativity of the target phenomenon. In this paper, I outline a version of the reference-rule account that circumvents this problem. I state a reference rule for the de se concept that makes space (...)
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  • Some Remarks on Assertion and Proof.Massimliano Carrara - 2021 - Journal of Applied Logics 8 (21):321-328.
    In our introduction we make some remarks on the main topics of this issue: assertion and proof. We briefly describe how each of the papers in the present publication has contributed from either different or complementary perspectives to the logical reflection on assertion and proof, while also specifying the relation between them.
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  • Every Word is a Name: Autonymy and Quotation in Augustine.Tamer Nawar - 2021 - Mind 130 (518):595-616.
    Augustine famously claims every word is a name. Some readers take Augustine to thereby maintain a purely referentialist semantic account according to which every word is a referential expression whose meaning is its extension. Other readers think that Augustine is no referentialist and is merely claiming that every word has some meaning. In this paper, I clarify Augustine’s arguments to the effect that every word is a name and argue that ‘every word is a name’ amounts to the claim that (...)
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  • (1 other version)Temporal location of events in language and (non) persistence of the past.Fabio Del Prete - 2020 - Critical Hermeneutics 4 (II):25-68.
    The article reviews some analyses of temporal language in logical approaches to natural language semantics. It considers some asymmetries between past and future, manifested in language, which motivate the “standard view” of the non-reversibility of time and the persistence of the past. It concludes with a puzzle about the changing past which challenges the standard view.
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  • CRITIQUE OF IMPURE REASON: Horizons of Possibility and Meaning.Steven James Bartlett - 2021 - Salem, USA: Studies in Theory and Behavior.
    PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...)
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  • The spectrum of perspective shift: protagonist projection versus free indirect discourse.Márta Abrusán - 2020 - Linguistics and Philosophy 44 (4):839-873.
    This paper examines a little studied type of perspective shift that I call protagonist projection, following Holton :625–628, 1997). PP is a way of describing the mental state of a protagonist that conveys, to some extent, her perspective. Similarly to its better known cousin free indirect discourse, the shift in perspective is achieved without an overt operator. Unlike FID, PP is not based on a presumed speech-act of a protagonist. Rather, it gives a linguistic form to pre-verbal perceptual content, sensations, (...)
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  • Some Logical Notations for Pragmatic Assertions.Massimiliano Carrara, Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Logique Et Analyse 251:297 - 315.
    The pragmatic notion of assertion has an important inferential role in logic. There are also many notational forms to express assertions in logical systems. This paper reviews, compares and analyses languages with signs for assertions, including explicit signs such as Frege’s and Dalla Pozza’s logical systems and implicit signs with no specific sign for assertion, such as Peirce’s algebraic and graphical logics and the recent modification of the latter termed Assertive Graphs. We identify and discuss the main ‘points’ of these (...)
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  • B-Theory and Time Biases.Sayid Bnefsi - 2019 - In Patrick Blackburn, Per Hasle & Peter Øhrstrøm (eds.), Logic and Philosophy of Time: Further Themes from Prior. Aalborg University Press. pp. 41-52.
    We care not only about what experiences we have, but when we have them too. However, on the B-theory of time, something’s timing isn’t an intrinsic way for that thing to be or become. Given B-theory, should we be rationally indifferent about the timing per se of an experience? In this paper, I argue that B-theorists can justify time-biased preferences for pains to be past rather than present and for pleasures to be present rather than past. In support of this (...)
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  • A formal semantic analysis of the progressive.Alexandra Lascarides - 1988 - Dissertation, University of Edinburgh
    Formal semantics constitutes the framework of this thesis, and the aim is to characterise the semantics of the progressive, as it appears in sentence. Max was running towards the station Among the problems is one known as the "imperfective paradox". According to intuitions, sentence entails, but no entailment holds between and. Max was running towards the station Max ran towards the station Max was running to the station Max ran to the station Since and would seem to have the same (...)
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  • Perspectival Plurality, Relativism, and Multiple Indexing.Dan Zeman - 2018 - In Rob Truswell, Chris Cummins, Caroline Heycock, Brian Rabern & Hannah Rohde (eds.), Proceedings of Sinn und Bedeutung 21. Semantics Archives. pp. 1353-1370.
    In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions than predicates (...)
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  • Nothing to Come: A Defence of the Growing Block Theory of Time.Fabrice Correia & Sven Rosenkranz - 2018 - Cham, Switzerland: Springer Verlag. Edited by Sven Rosenkranz.
    This monograph is a detailed study, and systematic defence, of the Growing Block Theory of time (GBT), first conceived by C.D. Broad. The book offers a coherent, logically perspicuous and ideologically lean formulation of GBT, defends it against the most notorious objections to be found in the extant philosophical literature, and shows how it can be derived from a more general theory, consistent with relativistic spacetime, on the pre-relativistic assumption of an absolute and total temporal order. -/- The authors devise (...)
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  • How to be an adverbialist about phenomenal intentionality.Kyle Banick - 2018 - Synthese 198 (1):661-686.
    Kriegel has revived adverbialism as a theory of consciousness. But recent attacks have shed doubt on the viability of the theory. To save adverbialism, I propose that the adverbialist take a stance on the nature of adverbial modification. On one leading theory, adverbial modification turns on the instantiation by a substance of a psychological type. But the resulting formulation of adverbialism turns out to be a mere notational variant on the relationalist approaches against which Kriegel dialectically situates adverbialism. By contrast, (...)
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  • Synonymy between Token-Reflexive Expressions.Alexandru Radulescu - 2020 - Mind 129 (514):381–399.
    Synonymy, at its most basic, is sameness of meaning. A token-reflexive expression is an expression whose meaning assigns a referent to its tokens by relating each particular token of that particular expression to its referent. In doing so, the formulation of its meaning mentions the particular expression whose meaning it is. This seems to entail that no two token-reflexive expressions are synonymous, which would constitute a strong objection against token-reflexive semantics. In this paper, I propose and defend a notion of (...)
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  • Token-Reflexivity and Repetition.Alexandru Radulescu - 2018 - Ergo: An Open Access Journal of Philosophy 5:745-763.
    The classical rule of Repetition says that if you take any sentence as a premise, and repeat it as a conclusion, you have a valid argument. It's a very basic rule of logic, and many other rules depend on the guarantee that repeating a sentence, or really, any expression, guarantees sameness of referent, or semantic value. However, Repetition fails for token-reflexive expressions. In this paper, I offer three ways that one might replace Repetition, and still keep an interesting notion of (...)
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  • Of Time and the Two Images.Steven F. Savitt - 2012 - Humana Mente 5 (21).
    In this paper I argue that the clash of the Sellars’ two images is particularly acute in the case of time. In Time and the World Order Sellars seems embarked on a quest to locate manifest time in Minkowski spacetime. I suggest that he should have argued for the replacement of manifest time with the local, path-dependent time of the “scientific image”, just as he suggests that manifest objects must be replaced by their scientific counterparts.
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  • Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
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  • Presentism, eternalism and where things are located.Emanuel Viebahn - 2020 - Synthese 197 (7):2963-2974.
    In several recent papers, Daniel Deasy has argued that the presentism–eternalism debate is unclear and should be abandoned. According to Deasy, there is no way of spelling out the predicate ‘is present’ that leads to a satisfactory definition of presentism: on some interpretations, presentism turns out to be compatible with eternalism, on others, it is clearly false or unacceptable for other reasons. The aim of this paper is to show that this line of argument should be resisted: if the predicate (...)
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  • In Defense of the Reference Time.Daniel Altshuler & Susanna Melkonian-Altshuler - 2014 - Semantics-Syntax Interface 1 (2):133-149.
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  • A Pragmatic View of Proper Name Reference.Peter Ridley - 2016 - Dissertation, King's College London
    I argue, in this thesis, that proper name reference is a wholly pragmatic phenomenon. The reference of a proper name is neither constitutive of, nor determined by, the semantic content of that name, but is determined, on an occasion of use, by pragmatic factors. The majority of views in the literature on proper name reference claim that reference is in some way determined by the semantics of the name, either because their reference simply constitutes their semantics (which generally requires a (...)
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  • Reichenbach Falls—And Rises? Reconstructing the Discovery/Justification Distinction.Monica Aufrecht - 2017 - International Studies in the Philosophy of Science 31 (2):151-176.
    ABSTRACTThe distinction between ‘context of discovery’ and ‘context of justification’ in philosophy of science appears simple at first but contains interesting complexities. Paul Hoyningen-Huene has catalogued some of these complexities and suggested that the core usefulness of the ‘context distinction’ is in distinguishing between descriptive and normative perspectives. Here, I expand on Hoyningen-Huene’s project by tracing the label ‘context of discovery and context of justification’ to its origin. I argue that, contrary to initial appearances, Hans Reichenbach’s initial context distinction from (...)
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  • Objects and Attitudes.Friederike Moltmann - 2024 - New York: Oxford University Press.
    This is a prepublication version of my book Objects and Attitudes. The book develops a novel semantics of attitude reports, modal sentences, and quotation based on the view that sentences semantically act as predicates of various attitudinal and modal objects, entities like claims, requests, promises, obligations, and permissions, rather than standing for abstract propositions playing the role of objects. The approach develops truthmaker semantics for attitudinal and modal objects and has a wide range of applications to issues in philosophy of (...)
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  • Some Preliminaries on Assertion and Denial.Massimiliano Carrara, Daniele Chiffi & Ciro De Florio - 2017 - Logique Et Analyse 239:203-207.
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  • Chalmers, semantiikka ja välttämättömyys.Panu Raatikainen - 2016 - In Ilkka Niiniluoto, Tuomas Tahko & Teemu Toppinen (eds.), Mahdollisuus. Helsinki: Philosophical Society of Finland.
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  • The Science of Meaning: Essays on the Metatheory of Natural Language Semantics.Derek Ball & Brian Rabern (eds.) - 2018 - Oxford: Oxford University Press.
    By creating certain marks on paper, or by making certain sounds-breathing past a moving tongue-or by articulation of hands and bodies, language users can give expression to their mental lives. With language we command, assert, query, emote, insult, and inspire. Language has meaning. This fact can be quite mystifying, yet a science of linguistic meaning-semantics-has emerged at the intersection of a variety of disciplines: philosophy, linguistics, computer science, and psychology. Semantics is the study of meaning. But what exactly is "meaning"? (...)
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  • Aesthetic values in science.Milena Ivanova - 2017 - Philosophy Compass 12 (10):e12433.
    Scientists often use aesthetic values in the evaluation and choice of theories. Aesthetic values are not only regarded as leading to practically more useful theories but are often taken to stand in a special epistemic relation to the truth of a theory such that the aesthetic merit of a theory is evidence of its truth. This paper explores what aesthetic considerations influence scientists' reasoning, how such aesthetic values relate to the utility of a scientific theory, and how one can justify (...)
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  • Memory and temporal perspective: The role of temporal frameworks in memory development.Teresa McCormack & Christoph Hoerl - 1999 - Developmental Review 19:154-182.
    An account of the development of temporal understanding is proposed which links such understanding with the development of episodic memory. We distinguish between different ways of representing time in terms of the kinds of temporal frameworks they involve. Distinctions are made between frameworks that are perspectival or nonperspectival and those that represent recurrent sequences or particular times. Even primitive temporal understanding integrates both perspectival and nonperspectival components. However, since early frameworks are event-based and localized, they are not yet sufficient for (...)
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  • Mahdollisuus, välttämättömyys ja luodut ikuiset totuudet Descartesin filosofiassa.Forsman Jan - 2016 - In Ilkka Niiniluoto, Tuomas Tahko & Teemu Toppinen (eds.), Mahdollisuus. Helsinki: Philosophical Society of Finland. pp. 120-129.
    Tässä artikkelissa käsittelen Descartesin ikuisten totuuksien välttämättömyyteen liittyvää ongelmaa. Teoksessa Mietiskelyjä ensimmäisestä filosofiasta (1641–1642) Descartes nostaa esiin käsitteen ikuisista totuuksista, käyttäen esimerkkinään kolmiota. Kolmion muuttumattomaan ja ikuiseen luontoon kuuluu esimerkiksi, että sen kolme kulmaa ovat yhteenlaskettuna 180°. Se on totta kolmiosta, vaikka yhtään yksittäistä kolmiota ei olisi koskaan ollutkaan olemassa. Eräät ajattelemieni asioiden piirteet ovat siis Descartesin mukaan ajattelustani riippumattomia. Ikuisia totuuksia ovat ainakin matemaattiset ja geometriset tosiseikat sekä ristiriidan laki. Samoin Descartesin kuuluisa lause “ajattelen, siis olen” lukeutuu ikuisten totuuksien (...)
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  • Reference to Abstract Objects in Discourse.Nicholas Asher - 1993 - Dordrecht, Boston, and London: Kluwer.
    This volume is about abstract objects and the ways we refer to them in natural language. Asher develops a semantical and metaphysical analysis of these entities in two stages. The first reflects the rich ontology of abstract objects necessitated by the forms of language in which we think and speak. A second level of analysis maps the ontology of natural language metaphysics onto a sparser domain--a more systematic realm of abstract objects that are fully analyzed. This second level reflects the (...)
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  • (1 other version)Levels of Linguistic Acts and the Semantics of Saying and Quoting.Friederike Moltmann - 2017 - In Savas L. Tsohatzidis (ed.), Interpreting J. L. Austin: Critical Essays. Cambridge University Press. pp. 34-59.
    This paper will outline a novel semantics of verbs of saying and of quotation based on Austin’s (1962) distinction among levels of linguistic acts (illocutionary, locutionary, rhetic, phatic, and phonetic acts). It will propose a way of understanding the notion of a rhetic act and argue that it is well-reflected in the semantics of natural language. The paper will furthermore outline a novel, unified and compositional semantics of quotation which is guided by two ideas. First, quotations convey properties related to (...)
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  • Can Fregeans Have 'I'-Thoughts?Alexandre Billon & Marie Guillot - 2014 - Revista de Filosofía de la Universidad de Costa Rica (136):97-105.
    We examine how Frege’s contrast between identity judgments of the forms “a=a” vs. “a=b” would fare in the special case where ‘a’ and ‘b’ are complex mental representations, and ‘a’ stands for an introspected ‘I’-thought. We first argue that the Fregean treatment of I-thoughts entails that they are what we call “one-shot thoughts”: they can only be thought once. This has the surprising consequence that no instance of the “a=a” form of judgment in this specific case comes out true, let (...)
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  • Infallibility, Acquaintance, and Phenomenal Concepts.Wolfgang Barz - 2016 - Dialectica 70 (2):139-168.
    In recent literature, there is a strong tendency to endorse the following argument: There are particular judgments about one's current phenomenal experiences that are infallible; if there are particular judgments about one's current phenomenal experiences that are infallible, then the infallibility of those judgments is due to the relation of acquaintance; therefore, acquaintance explains why those particular judgments about one's current phenomenal experiences are infallible. The aim of this paper is to examine critically both the first and the second premise (...)
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  • (1 other version)Literal Meaning.François Récanati - 2002 - New York: Cambridge University Press.
    According to the dominant position among philosophers of language today, we can legitimately ascribe determinate contents to natural language sentences, independently of what the speaker actually means. This view contrasts with that held by ordinary language philosophers fifty years ago: according to them, speech acts, not sentences, are the primary bearers of content. François Recanati argues for the relevance of this controversy to the current debate about semantics and pragmatics. Is 'what is said' determined by linguistic conventions, or is it (...)
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  • The Problem with Token-reflexivity.Stefano Predelli - 2006 - Synthese 148 (1):5-29.
    This essay presents an argument against the token-reflexive approach to the semantics for indexical languages. After some preliminary remarks in section one, sections two and three explain why some traditional arguments against token-reflexivity are ultimately ineffective. Section four puts forth a more persuasive argument, to the effect that token-reflexive views overgenerate with respect to results of analyticity. However, as section five explains, defenders of the alternative, type-oriented view have all too often wasted the advantage offered by their approach: the unmotivated, (...)
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  • Aspektualität und Temporalität – Aspekt und Tempus.Hans-Jörg Schwenk - 2012 - Acta Universitatis Lodziensis. Folia Germanica 8:131-149.
    The present paper deals with grammatical categories and their formalization as morphological units on the example of aspectuality / temporality on the one hand, and aspect / tense on the other hand with special attention paid to Polish, German, English and Romanic languages such as Italian, French and Spanish. It could be shown that the formal realization of aspectuality cannot be considered as being restricted to aspects, but also comprises tense in languages which are deprived of aspects. Furthermore the author (...)
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  • Inter-model connectives and substructural logics.Igor Sedlár - 2014 - In Roberto Ciuni, Heinrich Wansing & Caroline Willkommen (eds.), Recent Trends in Philosophical Logic (Proceedings of Trends in Logic XI). Cham, Switzerland: Springer. pp. 195-209.
    The paper provides an alternative interpretation of ‘pair points’, discussed in Beall et al., "On the ternary relation and conditionality", J. of Philosophical Logic 41(3), 595-612. Pair points are seen as points viewed from two different ‘perspectives’ and the latter are explicated in terms of two independent valuations. The interpretation is developed into a semantics using pairs of Kripke models (‘pair models’). It is demonstrated that, if certain conditions are fulfilled, pair models are validity-preserving copies of positive substructural models. This (...)
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  • The Oxford Handbook of Philosophical Methodology.Herman Cappelen, Tamar Gendler & John Hawthorne (eds.) - 2016 - Oxford, United Kingdom: Oxford University Press.
    This is the most comprehensive book ever published on philosophical methodology. A team of thirty-eight of the world's leading philosophers present original essays on various aspects of how philosophy should be and is done. The first part is devoted to broad traditions and approaches to philosophical methodology. The entries in the second part address topics in philosophical methodology, such as intuitions, conceptual analysis, and transcendental arguments. The third part of the book is devoted to essays about the interconnections between philosophy (...)
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  • Nominals and Event Structure.Friederike Moltmann - 2019 - In Robert Truswell (ed.), The Oxford Handbook of Event Structure.
    This paper discusses three approaches to the semantics of event nominalizations and adverbial modification: the Davidsonian account, the Kimian account, and the truthmaker account. It argues that a combination of all three accounts is needed for the semantics of the full range of event, trope, and state nominalizations in English.
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  • Indexicals as token-reflexives.Manuel Garc'ıa-Carpintero - 1998 - Mind 107 (427):529-564.
    Reichenbachian approaches to indexicality contend that indexicals are "token-reflexives": semantic rules associated with any given indexical-type determine the truth-conditional import of properly produced tokens of that type relative to certain relational properties of those tokens. Such a view may be understood as sharing the main tenets of Kaplan's well-known theory regarding content, or truth-conditions, but differs from it regarding the nature of the linguistic meaning of indexicals and also regarding the bearers of truth-conditional import and truth-conditions. Kaplan has criticized these (...)
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  • The psychology of time and its philosophical implications.Carlos Montemayor - 2009 - Dissertation, Rutgers
    This dissertation offers new proposals, based on a philosophical appraisal of scientific findings, to address old philosophical problems regarding our immediate acquaintance with time. It focuses on two topics: our capacity to determine the length of intervals and our acquaintance with the present moment. A review of the relevant scientific findings concerning these topics grounds the main contributions of this dissertation. Thus, this study introduces to the philosophical literature an empirically adequate way to talk about how the mind represents time (...)
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  • Necessarily Maybe. Quantifiers, Modality and Vagueness.Alessandro Torza - 2015 - In Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Springer. pp. 367-387.
    Languages involving modalities and languages involving vagueness have each been thoroughly studied. On the other hand, virtually nothing has been said about the interaction of modality and vagueness. This paper aims to start filling that gap. Section 1 is a discussion of various possible sources of vague modality. Section 2 puts forward a model theory for a quantified language with operators for modality and vagueness. The model theory is followed by a discussion of the resulting logic. In Section 3, the (...)
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  • On Walter Dubislav.Nikolay Milkov - 2015 - History and Philosophy of Logic 36 (2):147-161.
    This paper outlines the intellectual biography of Walter Dubislav. Besides being a leading member of the Berlin Group headed by Hans Reichenbach, Dubislav played a defining role as well in the Society for Empirical/Scientific Philosophy in Berlin. A student of David Hilbert, Dubislav applied the method of axiomatic to produce original work in logic and formalist philosophy of mathematics. He also introduced the elements of a formalist philosophy of science and addressed more general problems concerning the substantiation of human knowledge. (...)
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  • Existential Import Today: New Metatheorems; Historical, Philosophical, and Pedagogical Misconceptions.John Corcoran & Hassan Masoud - 2015 - History and Philosophy of Logic 36 (1):39-61.
    Contrary to common misconceptions, today's logic is not devoid of existential import: the universalized conditional ∀ x [S→ P] implies its corresponding existentialized conjunction ∃ x [S & P], not in all cases, but in some. We characterize the proexamples by proving the Existential-Import Equivalence: The antecedent S of the universalized conditional alone determines whether the universalized conditional has existential import, i.e. whether it implies its corresponding existentialized conjunction.A predicate is an open formula having only x free. An existential-import predicate (...)
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  • Mathematical Beauty, Understanding, and Discovery.Carlo Cellucci - 2015 - Foundations of Science 20 (4):339-355.
    In a very influential paper Rota stresses the relevance of mathematical beauty to mathematical research, and claims that a piece of mathematics is beautiful when it is enlightening. He stops short, however, of explaining what he means by ‘enlightening’. This paper proposes an alternative approach, according to which a mathematical demonstration or theorem is beautiful when it provides understanding. Mathematical beauty thus considered can have a role in mathematical discovery because it can guide the mathematician in selecting which hypothesis to (...)
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