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Function and Concept

In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press. pp. 130-149 (1960)

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  1. Naming the concept horse.Michael Price - 2016 - Philosophical Studies 173 (10):2727-2743.
    Frege’s rejection of singular reference to concepts is centrally implicated in his notorious paradox of the concept horse. I distinguish a number of claims in which that rejection might consist and detail the dialectical difficulties confronting the defense of several such claims. Arguably the least problematic such claim—that it is simply nonsense to say that a concept can be referred to with a singular term—has recently received a novel defense due to Robert Trueman. I set out Trueman’s argument for this (...)
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  • Interpreting concatenation and concatenates.Paul M. Pietroski - 2006 - Philosophical Issues 16 (1):221–245.
    This paper presents a slightly modified version of the compositional semantics proposed in Events and Semantic Architecture (OUP 2005). Some readers may find this shorter version, which ignores issues about vagueness and causal constructions, easier to digest. The emphasis is on the treatments of plurality and quantification, and I assume at least some familiarity with more standard approaches.
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  • Against Fregean Quantification.Bryan Pickel & Brian Rabern - 2023 - Ergo: An Open Access Journal of Philosophy 9 (37):971-1007.
    There are two dominant approaches to quantification: the Fregean and the Tarskian. While the Tarskian approach is standard and familiar, deep conceptual objections have been pressed against its employment of variables as genuine syntactic and semantic units. Because they do not explicitly rely on variables, Fregean approaches are held to avoid these worries. The apparent result is that the Fregean can deliver something that the Tarskian is unable to, namely a compositional semantic treatment of quantification centered on truth and reference. (...)
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  • Frege and the Paradox of Analysis.Michael Nelson - 2008 - Philosophical Studies 137 (2):159-181.
    In an unpublished manuscript of 1914 titled ‘Logic in mathematics’, Gottlob Frege offered a rich account of the paradox of analysis. I argue that Frege there claims that the explicandum and explicans of a successful analysis express the same sense and that he furthermore appreciated that this requires that one cannot conclude that two sentences differ in sense simply because it is possible for a (minimally) competent speaker to accept one without accepting the other. I claim that this is shown (...)
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  • Russell's completeness proof.Peter Milne - 2008 - History and Philosophy of Logic 29 (1):31-62.
    Bertrand Russell’s 1906 article ‘The Theory of Implication’ contains an algebraic weak completeness proof for classical propositional logic. Russell did not present it as such. We give an exposition of the proof and investigate Russell’s view of what he was about, whether he could have appreciated the proof for what it is, and why there is no parallel of the proof in Principia Mathematica.
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  • Ontological Realism: Methodology or Misdirection?Gary H. Merrill - 2010 - Applied ontology 5 (2):79-108.
    In a series of papers over a period of several years Barry Smith andWerner Ceusters have offered a number of cogent criticisms of historical approaches to creating, maintaining, and applying biomedical terminologies and ontologies. And they have urged the adoption of what they refer to as a “realism-based” approach. Indeed, at times they insist that the realism-based approach not only offers clear advantages and a well-founded methodological basis for ontology development and evaluation, but that such a realist perspective is in (...)
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  • Crossing the Associative/Inferential Divide: Ad hoc Concepts and the Inferential Power of Schemata.Marco Mazzone - 2014 - Review of Philosophy and Psychology 5 (4):583-599.
    How do we construct ad hoc concepts, especially those characterised by emergent properties? A reasonable hypothesis, suggested both in psychology and in pragmatics , is that some sort of inferential processing must be involved. I argue that this inferential processing can be accounted for in associative terms. My argument is based on the notion of inference as associative pattern completion based on schemata, with schemata being conceived in turn as patterns of concepts and their relationships. The possible role of conscious (...)
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  • The King of France Restored.Max Rosenkrantz - 2007 - Metaphysica 8 (2):149-163.
    Recent scholarship holds that unfulfilled definite descriptions do not play a role in motivating Russell’s theory of descriptions. In this paper, I make use of Gustav Bergmann’s ideal language method to develop an interpretation that restores the puzzle raised by ‘the King of France’ to the central place it once occupied in discussions of the theory of descriptions. In restoring ‘the King of France’, I show that Russell’s discussion of the problem it raises provides a decisive argument against Fregean senses, (...)
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  • On Redrawing the Force-Content Distinction.Christian Georg Martin - 2019 - Nordic Wittgenstein Review 8 (1-2):175-208.
    Frege distinguished the thought qua logical content from the assertoric force attached to it when judged to be true. The gist of this distinction is captured by the so-called Frege-Geach point. Recently, several authors have drawn inspiration from Wittgenstein to reject this point and the distinction it is based on. This article proceeds from the observation that Wittgenstein himself did not reject the force-content distinction but urged us to reformulate it in a non-dualistic way. While drawing on Wittgensteinian lessons about (...)
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  • Arbitrary reference in mathematical reasoning.Enrico Martino - 2001 - Topoi 20 (1):65-77.
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  • The Status of Value-ranges in the Argument of Basic Laws of Arithmetic I §10.Thomas Lockhart - 2017 - History and Philosophy of Logic 38 (4):345-363.
    Frege's concern in GGI §10 is neither with the epistemological issue of how we come to know about value-ranges, nor with the semantic-metaphysical issue of whether we have said enough about such objects in order to ensure that any kind of reference to them is possible. The problem which occupies Frege in GGI §10 is the general problem according to which we ‘cannot yet decide’, for any arbitrary function, what value ‘’ has if ‘ℵ’ is a canonical value-range name. This (...)
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  • On the “Gray’s Elegy” Argument and its Bearing on Frege’s Theory of Sense.James Levine - 2004 - Philosophy and Phenomenological Research 69 (2):251–295.
    In his recent book, "The Metaphysicians of Meaning" (2000), Gideon Makin argues that in the so-called "Gray's Elegy" argument (the GEA) in "On Denoting", Russell provides decisive arguments against not only his own theory of denoting concepts but also Frege's theory of sense. I argue that by failing to recognize fundamental differences between the two theories, Makin fails to recognize that the GEA has less force against Frege's theory than against Russell's own earlier theory. While I agree with many aspects (...)
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  • Analysis and decomposition in Frege and Russell.James Levine - 2002 - Philosophical Quarterly 52 (207):195-216.
    Michael Dummett has long argued that Frege is committed to recognizing a distinction between two sorts of analysis of propositional contents: 'analysis', which reveals the entities that one must grasp in order to apprehend a given propositional content; and 'decomposition', which is used in recognizing the validity of certain inferences. Whereas any propositional content admits of a unique ultimate 'analysis' into simple constituents, it also admits of distinct 'decompositions', no one of which is ultimately privileged over the others. I argue (...)
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  • Analysis, abstraction principles, and slingshot arguments.James Levine - 2006 - Ratio 19 (1):43–63.
    Frege's views regarding analysis and synomymy have long been the subject of critical discussion. Some commentators, led by Dummett, have argued that Frege was committed to the view that each thought admits of a unique ultimate analysis. However, this interpretation is in apparent conflict with Frege's criterion of synonymy, according to which two sentence express the same thought if one cannot understand them without regarding them as having the same truth–value. In a recent article in this journal, Drai attempts to (...)
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  • On Frege's Notion of Predicate Reference.Palle Leth - 2013 - History and Philosophy of Logic 34 (4):335 - 350.
    Frege's extension of his distinction between Sinn and Bedeutung to predicate terms is widely considered to be problematic. Interpreters generally assume that the notion of Bedeutung comprises the name/bearer relation as a prototype and that the extension is justified only in so far as the relation of predicate terms to their alleged referents is analogous to the relation of names to their bearers. However, interpreters have generally paid insufficient attention to Frege's own dealing with the issue. By examining the relevant (...)
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  • On the pragmatics of mood.Shalom Lappin - 1980 - Linguistics and Philosophy 4 (4):559 - 578.
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  • The number of senses.Kevin C. Klement - 2003 - Erkenntnis 58 (3):303 - 323.
    Many philosophers still countenance senses or meanings in the broadly Fregean vein. However, it is difficult to posit the existence of senses without positing quite a lot of them, including at least one presenting every entity in existence. I discuss a number of Cantorian paradoxes that seem to result from an overly large metaphysics of senses, and various possible solutions. Certain more deflationary and nontraditional understanding of senses, and to what extent they fare better in solving the problems, are also (...)
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  • Priest’s Theory of Unity and the Superabundance of Gluons.Seahwa Kim - 2017 - International Journal of Philosophical Studies 25 (4):550-554.
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  • On Frege’s Assimilation of Sentences with Names.Dongwoo Kim - 2021 - Philosophical Quarterly 71 (2):241-263.
    I shall discuss some of the issues concerning a notorious doctrine of Frege that sentences are names of truth-values. I am interested in a problem raised by Kripke that the doctrine obscures the distinction between judgeable and unjudgeable contents. I shall present what I take to be Frege’s account of judgeable content: a proper expression of a judgeable content is susceptible to an analysis into a predicate and an argument-word, where a predicate is understood as a concept-word used to attribute (...)
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  • Reviews. [REVIEW]C. W. Kilmister - 1981 - British Journal for the Philosophy of Science 32 (2):206-210.
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  • Computation and Indispensability.Jeffrey Ketland - forthcoming - Logic and Logical Philosophy:1.
    This article provides a computational example of a mathematical explanation within science, concerning computational equivalence of programs. In addition, it outlines the logical structure of the reasoning involved in explanations in applied mathematics. It concludes with a challenge that the nominalist provide a nominalistic explanation for the computational equivalence of certain programs.
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  • Frege's context principle: An interpretation.Joongol Kim - 2011 - Pacific Philosophical Quarterly 92 (2):193-213.
    This paper presents a new interpretation of Frege's context principle on which it applies primarily to singular terms for abstract objects but not necessarily to singular terms for ordinary objects.
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  • Frege, the identity of Sinn and Carnap's intension.I. Hanzel - 2006 - History and Philosophy of Logic 27 (3):229-247.
    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 (...)
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  • On Fundamental Differences between Dependent and Independent Meanings.Claire Ortiz Hill - 2010 - Axiomathes 20 (2-3):313-332.
    In “Function and Concept” and “On Concept and Object”, Frege argued that certain differences between dependent and independent meanings were inviolable and “founded deep in the nature of things” but, in those articles, he was not explicit about the actual consequences of violating such differences. However, since by creating a law that permitted one to pass from a concept to its extension, he himself mixed dependent and independent meanings, we are in a position to study some of the actual consequences (...)
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  • The Composition of Thoughts.Richard Heck & Robert May - 2010 - Noûs 45 (1):126-166.
    Are Fregean thoughts compositionally complex and composed of senses? We argue that, in Begriffsschrift, Frege took 'conceptual contents' to be unstructured, but that he quickly moved away from this position, holding just two years later that conceptual contents divide of themselves into 'function' and 'argument'. This second position is shown to be unstable, however, by Frege's famous substitution puzzle. For Frege, the crucial question the puzzle raises is why "The Morning Star is a planet" and "The Evening Star is a (...)
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  • Priest’s Hyper-Dialetheist Solution to the Problem of Unity.Sungil Han - 2017 - International Journal of Philosophical Studies 25 (4):544-550.
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  • The Comparison between Aristotle's and Frege's Analyses of the Categorical Proposition.Ahmad Hamdollahi - 2022 - Journal of Philosophical Investigations 16 (38):644-669.
    The main question of this article is that what are the important differences or similarities between Aristotle's and Frege's analysis of the categorical proposition? Based on the famous view, Aristotle analyzes the categorical proposition into three components: Subject, Predicate and Relation; while Frege analyzes the categorical proposition into two components of Variable and Function, and therefore; these two analyses are completely different and there is no similarity between them. In the other article, I have argued that in the Aristotle's viewpoint, (...)
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  • The truth and nothing but the truth, yet never the whole truth: Frege, Russell and the analysis of unities.Graham Stevens - 2003 - History and Philosophy of Logic 24 (3):221-240.
    It is widely assumed that Russell's problems with the unity of the proposition were recurring and insoluble within the framework of the logical theory of his Principles of Mathematics. By contrast, Frege's functional analysis of thoughts (grounded in a type-theoretic distinction between concepts and objects) is commonly assumed to provide a solution to the problem or, at least, a means of avoiding the difficulty altogether. The Fregean solution is unavailable to Russell because of his commitment to the thesis that there (...)
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  • How “Meaning” became “Narrow Content”.Paweł Grabarczyk - 2016 - Studies in Logic, Grammar and Rhetoric 46 (1):155-171.
    The paper traces how disappointment with the notion of linguistic meaning has led to a shift towards the new, technical term of “narrow content”. In the first part of the paper I analyze the ways “narrow content” is understood in the literature. I show two important distinctions which have to be applied to the term in order to avoid confusion – the difference between context and functional theories of narrow content, and the difference between mental and linguistic narrow content. I (...)
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  • Why Can Computers Understand Natural Language?Juan Luis Gastaldi - 2020 - Philosophy and Technology 34 (1):149-214.
    The present paper intends to draw the conception of language implied in the technique of word embeddings that supported the recent development of deep neural network models in computational linguistics. After a preliminary presentation of the basic functioning of elementary artificial neural networks, we introduce the motivations and capabilities of word embeddings through one of its pioneering models, word2vec. To assess the remarkable results of the latter, we inspect the nature of its underlying mechanisms, which have been characterized as the (...)
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  • Nosological Diagnosis, Theories of Categorization, and Argumentations by Analogy.Francesco Gagliardi - 2022 - Journal of Medicine and Philosophy 47 (2):311-330.
    The nosological diagnosis is a particular type of nontheoretical diagnosis consisting of identifying the disease that afflicts the patient without explaining the underlying etiopathological mechanisms. Its origins are within the essentialist point of view on the nature of diseases, which dates back at least to 18th-century taxonomy studies. In this article, we propose a model of nosological diagnosis as a two-phase process composed of the categorization of inductive inferences and argumentations by analogy. In the inductive phase, disease entities are identified (...)
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  • The Theory of Form Logic.Wolfgang Freitag & Alexandra Zinke - 2012 - Logic and Logical Philosophy 21 (4):363-389.
    We investigate a construction schema for first-order logical systems, called “form logic”. Form logic allows us to overcome the dualistic commitment of predicate logic to individual constants and predicates. Dualism is replaced by a pluralism of terms of different “logical forms”. Individual form-logical systems are generated by the determination of a range of logical forms and of the formbased syntax rules for combining terms into formulas. We develop a generic syntax and semantics for such systems and provide a completeness proof (...)
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  • Chains of Life: Turing, Lebensform, and the Emergence of Wittgenstein’s Later Style.Juliet Floyd - 2016 - Nordic Wittgenstein Review 5 (2):7-89.
    This essay accounts for the notion of _Lebensform_ by assigning it a _logical _role in Wittgenstein’s later philosophy. Wittgenstein’s additions of the notion to his manuscripts of the _PI_ occurred during the initial drafting of the book 1936-7, after he abandoned his effort to revise _The Brown Book_. It is argued that this constituted a substantive step forward in his attitude toward the notion of simplicity as it figures within the notion of logical analysis. Next, a reconstruction of his later (...)
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  • The importance of being Ernesto: Reference, truth and logical form.A. Bianchi, V. Morato & G. Spolaore (eds.) - 2016 - Padova: Padova University Press.
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  • The Nature of Truth.M. J. Frapolli - 2013 - Springer.
    The book offers a proposal on how to define truth in all its complexity, without reductionism, showing at the same time which questions a theory of truth has to answer and which questions, although related to truth, do not belong within the scope of such a theory. Just like any other theory, a theory of truth has its structure and limits. The semantic core of the position is that truth-ascriptions are pro-forms, i.e. natural language propositional variables. The book also offers (...)
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  • Frege's Concept of the Thought.Pickard Dean - manuscript
    Frege's attempt to provide a foundation for the possibility of language and communication, like Kant's attempt to provide a foundation for the possibility of knowledge, fails to provide us with something absolute and foundational in a fixed sense. However, both these philosophers succeed in showing something about necessity that can be preserved independently of their absolutisms. Part III of this paper will provide reasons for accepting this thesis, while Parts I and II will provide an expository background on Frege's view (...)
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  • Vagueness and Frege.Marian Călborean - 2021 - Romanian Journal of Analytic Philosophy 2:12-44.
    A constant of Frege’s writing is his rejection of indeterminate predicates as found in natural language. This paper follows Frege’s remarks on vagueness from the early "Begriffsschrift” to his mature works, drawing brief parallels with the main contemporary theories of vagueness. I critically examine Frege’s arguments for the inconsistency of natural language and argue that the inability to accommodate vagueness in his mature ontology is mainly due to heuristic rules of thumb which Frege took as essential, not to a deep (...)
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  • 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 (...)
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  • Second sailing towards immortality and God.Rafael Ferber - 2021 - Mnemosyne 74 (3):371-400.
    This paper deals with the deuteros plous, literally ‘the second voyage’, proverbially ‘the next best way’, discussed in Plato’s Phaedo, the key passage being Phd. 99e4-100a3. I argue that (a) the ‘flight into the logoi’ can have two different interpretations, a standard one and a non-standard one. The issue is whether at 99e-100a Socrates means that both the student of erga and the student of logoi consider images (‘the standard interpretation’), or the student of logoi does not consider images but (...)
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  • Nonexistent objects.Maria Reicher - 2019 - Stanford Encyclopedia of Philosophy.
    Are there nonexistent objects, i.e., objects that do not exist? Some examples often cited are: Zeus, Pegasus, Sherlock Holmes, Vulcan (the hypothetical planet postulated by the 19th century astronomer Le Verrier), the perpetual motion machine, the golden mountain, the fountain of youth, the round square, etc. Some important philosophers have thought that the very concept of a nonexistent object is contradictory (Hume) or logically ill-formed (Kant, Frege), while others (Leibniz, Meinong, the Russell of Principles of Mathematics) have embraced it wholeheartedly. (...)
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  • Semantic Norms and Temporal Externalism.Henry Jackman - 1996 - Dissertation, University of Pittsburgh
    There has frequently been taken to be a tension, if not an incompatibility, between "externalist" theories of content (which allow the make-up of one's physical environment and the linguistic usage of one's community to contribute to the contents of one's thoughts and utterances) and the "methodologically individualist" intuition that whatever contributes to the content of one's thoughts and utterances must ultimately be grounded in facts about one's own attitudes and behavior. In this dissertation I argue that one can underwrite such (...)
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  • References.John Bengson & Marc A. Moffett - 2011 - In Knowing How: Essays on Knowledge, Mind, and Action. Oxford: Oxford University Press. pp. 361-386.
    This compilation of references includes all references for the knowledge-how chapters included in Bengson & Moffett's edited volume. The volume and the compilation of references may serve as a good starting point for people who are unfamiliar with the philosophical literature on knowledge-how.
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  • Thoughts about Thoughts: The Structure of Fregean Propositions.Nathan Bice - 2019 - Dissertation, Columbia University
    This dissertation is about the structure of thought. Following Gottlob Frege, I define a thought as the sort of content relevant to determining whether an assertion is true or false. The historical component of the dissertation involves interpreting Frege’s actual views on the structure of thought. I argue that Frege did not think that a thought has a unique decomposition into its component senses, but rather the same thought can be decomposed into senses in a variety of distinct ways. I (...)
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  • Logical form.Paul Pietroski - 2008 - Stanford Encyclopedia of Philosophy.
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  • Names.Sam Cumming - 2009 - Stanford Encyclopedia of Philosophy.
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  • Phenomenal Intentionality and the Problem of Cognitive Contact.Christopher A. Young - unknown
    Part 1 of the thesis questions the traditional relation model of intentionality. After fixing reference on the target phenomenon, intentionality, and explaining my interest in it, I ask what sorts of things intentionality might be a relation to. I consider ordinary objects, properties, propositions and hybrid views, and conclude all make the intentional relation appear rather mysterious. From there, I move on to examine the relation view’s most prominent proponents, the tracking theorists—pointing out some challenges such views face, and concluding (...)
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  • Frege’s Habilitationsschrift: Magnitude, Number and the Problems of Computability.Juan Luis Gastaldi - unknown
    The present paper proposes a new perspective on the place of Frege’s work in the history of computability theory, by calling attention to his 1874 Habilitationsschrift. It shows the prominent role played by functional iteration in Frege’s early efforts to provide a general concept of numerical magnitude, attached to an embryonic recursion schema and the use of functions as expressive means. Moreover, a connection is suggested between the iteration theory used and developed by Frege in his treatise and Schröder’s original (...)
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  • Considerações acerca dos critérios de Identidade Intensional e Extensional na Conceitografia de Frege/Considerations on extensional and intensional identity criteria in Frege’s Begriffsschrift.Eduardo Antônio Pitt - 2014 - Pensando: Revista de Filosofia 5 (10):123-148.
    Neste artigo daremos principal atenção aos dois critérios de identidade de conteúdo conceitual que estão presentes nos §§ 3 e 8 da Conceitografia de Gottlob Frege. Nosso propósito é analisar as características destes critérios da notação conceitual de Frege porque pretendemos delimitar a discussão em torno dos problemas relacionados às noções de identidade intensional e extensional. Dessa forma, pretendemos: analisar os critérios de identidade de conteúdo conceitual presentes nos §§ 3 e 8 da Conceitografia com o objetivo de mostrar que (...)
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  • Truths Containing Empty Names.Michael McKinsey - 2016 - In Piotr Stalmaszczyk & Luis Fernandez Moreno (eds.), Philosophical Approaches to Proper Names. Peter Lang. pp. 175-202.
    Abstract. On the Direct Reference thesis, proper names are what I call ‘genuine terms’, terms whose sole semantic contributions to the propositions expressed by their use are the terms’ semantic referents. But unless qualified, this thesis implies the false consequence that sentences containing names that fail to refer can never express true or false propositions. (Consider ‘The ancient Greeks worshipped Zeus’, for instance.) I suggest that while names are typically and fundamentally used as genuine terms, there is a small class (...)
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  • Mentality and Object: Computational and Cognitive Diachronic Emergence.Ekin Erkan - 2020 - Cosmos and History : The Journal of Natural and Social Philosophy 20 (2):296-356.
    Espousing non-reductive physicalism, how do we pick out the specific relevant physical notion(s) from physical facts, specifically in relation to phenomenal experience? Beginning with a historical review of Gilbert Ryle’s behaviorism and moving through Hilary Putnam’s machine-state functionalism and Wilfrid Sellars’ inferential framework, up to more contemporaneous computationalist- and cognitivist-functionalism (Gualtiero Piccinini), we survey accounts of mentality that countenance the emergence of mental states vide input- and output-scheme. Ultimately arriving at the conclusion that functionalism cannot account for problems such as (...)
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