Results for 'the Gödel sentence'

964 found
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  1. Do Goedel's incompleteness theorems set absolute limits on the ability of the brain to express and communicate mental concepts verifiably?Bhupinder Singh Anand - 2004 - Neuroquantology 2:60-100.
    Classical interpretations of Goedels formal reasoning, and of his conclusions, implicitly imply that mathematical languages are essentially incomplete, in the sense that the truth of some arithmetical propositions of any formal mathematical language, under any interpretation, is, both, non-algorithmic, and essentially unverifiable. However, a language of general, scientific, discourse, which intends to mathematically express, and unambiguously communicate, intuitive concepts that correspond to scientific investigations, cannot allow its mathematical propositions to be interpreted ambiguously. Such a language must, therefore, define mathematical truth (...)
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  2. The Four-Sentence Paper.Dennis Earl - 2015 - Teaching Philosophy 38 (1):49-76.
    They say that argumentative writing skills are best learned through writing argumentative essays. I say that while this is excellent practice for argumentative writing, an important exercise to practice structuring such essays and build critical thinking skills simultaneously is what I call the four-sentence paper. The exercise has the template They say..., I say..., one might object..., I reply... One might object that the assignment oversimplifies argumentative writing, stifles creativity, promotes an adversarial attitude, or that students can’t consider objections (...)
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  3. The Simple Sentence Puzzle and Ambiguous Co-referential Names.Tora Koyama & Yasuo Nakayama - 2001 - Annals of the Japan Association for Philosophy of Science 10 (3):127-138.
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  4. Goedel's Other Legacy And The Imperative Of A Self­reflective Science.Vasileios Basios - 2006 - Goedel Society Collegium Logicum 9:pg. 1-5.
    The Goedelian approach is discussed as a prime example of a science towards the origins. While mere self­referential objectification locks in to its own by­products, self­releasing objectification informs the formation of objects at hand and their different levels of interconnection. Guided by the spirit of Goedel's work a self­reflective science can open the road where old tenets see only blocked paths. “This is, as it were, an analysis of the analysis itself, but if that is done it forms the fundamental (...)
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  5. A solution to the donkey sentence problem.Adam Morton - 2015 - Analysis 75 (4):554-557.
    The problem concerns quantifiers that seem to hover between universal and existential readings. I argue that they are neither, but a different quantifier that has features of each. NOTE the published paper has a mistake. I have corrected this in the version on this site. A correction note will appear in Analysis.
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  6. On the Arithmetical Truth of Self‐Referential Sentences.Kaave Lajevardi & Saeed Salehi - 2019 - Theoria 85 (1):8-17.
    We take an argument of Gödel's from his ground‐breaking 1931 paper, generalize it, and examine its validity. The argument in question is this: "the sentence G says about itself that it is not provable, and G is indeed not provable; therefore, G is true".
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  7. Prolog detects pathological self reference in the Gödel sentence.P. Olcott - manuscript
    This sentence G ↔ ¬(F ⊢ G) and its negation G ↔ ~(F ⊢ ¬G) are shown to meet the conventional definition of incompleteness: Incomplete(T) ↔ ∃φ ((T ⊬ φ) ∧ (T ⊬ ¬φ)). They meet conventional definition of incompleteness because neither the sentence nor its negation is provable in F (or any other formal system). -- .
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  8. The interpretation of indefinites in future tense sentences. A novel argument for the modality of will?Fabio Del Prete - 2014 - In Mikhail Kissine, Philippe de Brabanter & Saghie Sharifzadeh (eds.), Oxford Studies of Time in Language and Thought.
    The chapter considers two semantic issues concerning will-sentences: Stalnaker’s Asymmetry and modal subordination in Karttunen-type discourses. The former points to a distinction between will and modal verbs, seeming to show that will does not license non-specific indefinites. The latter, conversely, suggests that will-sentences involve some kind of modality. To account for the data, the chapter proposes that will is semantically a tense, hence it doesn’t contribute a quantifier over modal alternatives; a modal feature, however, is introduced in the interpretation of (...)
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  9. Sentence, Proposition, Judgment, Statement, and Fact: Speaking about the Written English Used in Logic.John Corcoran - 2009 - In W. A. Carnielli (ed.), The Many Sides of Logic. College Publications. pp. 71-103.
    The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this (...)
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  10. Moorean Sentences and the Norm of Assertion.Michael J. Shaffer - 2012 - Logos and Episteme 3 (4):653-658.
    In this paper Timothy Williamson’s argument that the knowledge norm of assertion is the best explanation of the unassertability of Morrean sentences is challenged and an alternative account of the norm of assertion is defended.
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  11. Reconciling the opposing effects of neurobiological evidence on criminal sentencing judgments.Corey Allen, Karina Vold, Gidon Felson, Jennifer Blumenthal-Barby & Eyal Aharoni - 2019 - PLoS ONE 1:1-17.
    Legal theorists have characterized physical evidence of brain dysfunction as a double-edged sword, wherein the very quality that reduces the defendant’s responsibility for his transgression could simultaneously increase motivations to punish him by virtue of his apparently increased dangerousness. However, empirical evidence of this pattern has been elusive, perhaps owing to a heavy reliance on singular measures that fail to distinguish between plural, often competing internal motivations for punishment. The present study employed a test of the theorized double-edge pattern using (...)
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  12. Iudicium ex Machinae – The Ethical Challenges of Automated Decision-Making in Criminal Sentencing.Frej Thomsen - 2022 - In Julian Roberts & Jesper Ryberg (eds.), Principled Sentencing and Artificial Intelligence. Oxford University Press.
    Automated decision making for sentencing is the use of a software algorithm to analyse a convicted offender’s case and deliver a sentence. This chapter reviews the moral arguments for and against employing automated decision making for sentencing and finds that its use is in principle morally permissible. Specifically, it argues that well-designed automated decision making for sentencing will better approximate the just sentence than human sentencers. Moreover, it dismisses common concerns about transparency, privacy and bias as unpersuasive or (...)
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  13. The Subversive Politics of Hegel's Speculative Sentence: An Onto-grammatical Reading of Lordship and Bondage.Jeffrey Reid - 2023 - In Elias Bongmbas & Rob Manzinger (eds.), Philosophy, Freedom, Language and Their Others: Contemporary Legacies in German Idealism. London: Bloomsbury.
    Reading the Phenomenology onto-grammatically means interpreting its constitutive forms of consciousness as grammatical iterations of the speculative proposition, where the subject-object relations can be read as dialogical encounters between subject and predicate, where the predicate “talks back”, creating a discursive space of hermeneutical ambiguity and openness, at play in the copula. The article begins with a brief presentation of Hegel’s general theory of language, as it pertains to the distinction between the linguistic sign (Zeichen) and the word (Wort), drawn from (...)
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  14. The relativity of evaluative sentences: disagreeing over disagreement.Justina Díaz Legaspe - 2013 - Kriterion: Journal of Philosophy 54 (127):211-226.
    Evaluative sentences (moral judgments, expressions of taste, epistemic modals) are relative to the speaker's standards. Lately, a phenomenon has challenged the traditional explanation of this relativity: whenever two speakers disagree over them they contradict each other without being at fault. Hence, it is thought that the correction of the assertions involved must be relative to an unprivileged standard not necessarily the speaker's. I will claim instead that so far, neither this nor any other proposal has provided an explanation of the (...)
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  15. The Real Problem of Bishop Sentences.Hsiang-Yun Chen - 2017 - NTU Philosophical Review 54 (4):129-162.
    Bishop sentences such as “If a bishop meets a bishop, he blesses him” have long been considered problematic for the descriptivist (or E-type) approach of donkey anaphora (e.g. Evans, 1977; Heim, 1990; and Neale, 1990). Elbourne (2005) offers a situational descriptivist analysis that allegedly solves the problem, and furthermore extends its explanatory coverage to bishop sentence with coordinate subjects. However, I throw serious doubts on Elbourne’s analysis. Specifically, I argue that the purported solution is committed to the use of (...)
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  16. The Interpretation of Classically Quantified Sentences: A set-theoretic approach.Guy Politzer, Jean-Baptiste Van Der Henst, Claire Delle Luche & Ira Noveck - 2006 - Cognitive Science 30 (4):691-723.
    We present a set-theoretic model of the mental representation of classically quantified sentences (All P are Q, Some P are Q, Some P are not Q, and No P are Q). We take inclusion, exclusion, and their negations to be primitive concepts. It is shown that, although these sentences are known to have a diagrammatic expression (in the form of the Gergonne circles) which constitute a semantic representation, these concepts can also be expressed syntactically in the form of algebraic formulas. (...)
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  17. (1 other version)True Pejorative Sentences Beyond the Existential Core: On Some Unwelcome Implications of Hom and May's Theory.Ludovic Soutif & André Pontes - 2022 - Kriterion: Journal of Philosophy 63 (153):757-780.
    This paper considers one of the most significant and controversial attempts to account for the meaning of pejoratives as lexical items, namely Hom and May’s. After outlining the theory, we pinpoint sets of pejorative sentences that come out true on their account and for which the question as to whether they are compatible with the view advocated by them (so-called Moral and Semantic Innocence) remains open. Helping ourselves to the standard model-theoretical framework Hom and May (presumably) work in, we prove (...)
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  18. Objects of Thought? On the Usual Way Out of Prior’s Objection to the Relational Theory of Propositional Attitude Sentences.Giulia Felappi - 2016 - Analysis 76 (4):438-444.
    Traditionally, ‘that’-clauses occurring in attitude attributions are taken to denote the objects of the attitudes. Prior raised a famous problem: even if Frege fears that the Begriffsschrift leads to a paradox, it is unlikely that he fears a proposition, a sentence or what have you as the alleged object denoted by the ‘that’-clause. The usual way out is to say that ‘that’-clauses do not contribute the objects of the attitudes but their contents. I will show that, if we accept (...)
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  19. Learning to Discriminate: The Perfect Proxy Problem in Artificially Intelligent Criminal Sentencing.Benjamin Davies & Thomas Douglas - 2022 - In Jesper Ryberg & Julian V. Roberts (eds.), Sentencing and Artificial Intelligence. Oxford: OUP.
    It is often thought that traditional recidivism prediction tools used in criminal sentencing, though biased in many ways, can straightforwardly avoid one particularly pernicious type of bias: direct racial discrimination. They can avoid this by excluding race from the list of variables employed to predict recidivism. A similar approach could be taken to the design of newer, machine learning-based (ML) tools for predicting recidivism: information about race could be withheld from the ML tool during its training phase, ensuring that the (...)
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  20. This sentence does not contain the symbol X.Samuel Alexander - 2013 - The Reasoner 7 (9):108.
    A suprise may occur if we use a similar strategy to the Liar's paradox to mathematically formalize "This sentence does not contain the symbol X".
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  21. (1 other version)Abolish! Against the Use of Risk Assessment Algorithms at Sentencing in the US Criminal Justice System.Katia Schwerzmann - 2021 - Philosophy and Technology 1:1-22.
    In this article, I show why it is necessary to abolish the use of predictive algorithms in the US criminal justice system at sentencing. After presenting the functioning of these algorithms in their context of emergence, I offer three arguments to demonstrate why their abolition is imperative. First, I show that sentencing based on predictive algorithms induces a process of rewriting the temporality of the judged individual, flattening their life into a present inescapably doomed by its past. Second, I demonstrate (...)
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  22. Reconciliation as the Aim of a Criminal Trial: Ubuntu’s Implications for Sentencing.Thaddeus Metz - 2019 - Constitutional Court Review 9:113-134.
    In this article, I seek to answer the following cluster of questions: What would a characteristically African, and specifically relational, conception of a criminal trial’s final end look like? What would the Afro-relational approach prescribe for sentencing? Would its implications for this matter forcefully rival the kinds of penalties that judges in South Africa and similar jurisdictions typically mete out? After pointing out how the southern African ethic of ubuntu is well understood as a relational ethic, I draw out of (...)
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  23. Mrs. Dalloway and the Semiotics of a First Sentence.Baranna Baker - 2012 - American Journal of Semiotics 28 (3-4):153-168.
    How does fiction work? How can mere words create realities that exist only in the mind of the writer and the reader, yet seem so tangible in their realness? How can the first sentence of a novel transport one into a very real, yet purely objective, world — literally word-by-word? How do the subjective worlds of the writer and reader interact with the words on the page to create similar, yet always highly individualized, objective worlds? How can semiotics function (...)
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  24. Sentence-in-noise perception in Monolinguals and Multilinguals: The effect of contextual meaning, and linguistic and cognitive load.Charles Massingham - 2018 - Dissertation, Durham University
    This study proposes a framework by which grammatically and syntactically sound sentences are classified through the perceptual measurement in noise of multilinguals and monolinguals, using an objective measure called SPERI and an interpretivist measure called SPIn, with results evaluated using Shortlist models and the BLINCS model. Hereby filling a knowledge gap on the perception of sentences that combine in varying levels of contextual meaning, linguistic load and cognitive load, this study used sentence clustering methods to find limitations of the (...)
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  25. Non-Declarative Sentences and the Theory of Definite Descriptions.John-Michael Kuczynski - 2004 - Principia: An International Journal of Epistemology 8 (1):119–154.
    This paper shows that Russell’s theory of descriptions gives the wrong se-mantics for definite descriptions occurring in questions and imperatives. Depending on how that theory is applied, it either assigns nonsense to per-fectly meaningful questions and assertions or it assigns meanings that di-verge from the actual semantics of such sentences, even after all pragmatic and contextual variables are allowed for. Given that Russell’s theory is wrong for questions and assertions, it must be wrong for assertoric state-ments; for the semantics of (...)
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  26. Proof-Theoretic Semantics and the Interpretation of Atomic Sentences.Preston Stovall - 2020 - In Martin Blicha & Igor Sedlar (eds.), The Logica Yearbook 2019. College Publications. pp. 163-178.
    This essay addresses one of the open questions of proof-theoretic semantics: how to understand the semantic values of atomic sentences. I embed a revised version of the explanatory proof system of Millson and Straßer (2019) into the proof-theoretic semantics of Francez (2015) and show how to specify (part of) the intended interpretation of atomic sentences on the basis of their occurrences in the premises and conclusions of inferences to and from best explanations.
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  27. Carnap Sentences and the Newman Problem.Larisa Ioana Gogianu - 2015 - Romanian Journal of Analytic Philosophy 9 (1):23-30.
    In this paper I discuss the Newman problem in the context of contemporary epistemic structural realism (ESR). I formulate Newman’s objection in terms that apply to today’s ESR and then evaluate a defence of ESR based on Carnap’s use of Ramsey sentences and Hilbert’s ε-operator. I show that this defence improves the situation by allowing a formal stipulation of non-structural constraints. However, it fails short of achieving object individuation in the context of satisfying the Ramsified form of a theory. Thus, (...)
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  28. 'Deduction' versus 'inference' and the denotation of conditional sentences.Carsten Breul - manuscript
    The paper defends a variant of the material implication approach to the meaning of conditional sentences against some arguments that are considered to be widely subscribed to and/or important in the philosophical, psychological and linguistic literature. These arguments are shown to be wrong, debatable, or to miss their aim if the truth conditions defining material implication are viewed as determining nothing but the denotation of conditional sentences and if the function of conditional sentences in deduction (logic) is focused on rather (...)
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  29. Meaning, Presuppositions, Truth-relevance, Gödel's Sentence and the Liar Paradox.X. Y. Newberry - manuscript
    Section 1 reviews Strawson’s logic of presuppositions. Strawson’s justification is critiqued and a new justification proposed. Section 2 extends the logic of presuppositions to cases when the subject class is necessarily empty, such as (x)((Px & ~Px) → Qx) . The strong similarity of the resulting logic with Richard Diaz’s truth-relevant logic is pointed out. Section 3 further extends the logic of presuppositions to sentences with many variables, and a certain valuation is proposed. It is noted that, given this valuation, (...)
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  30. Does Predictive Sentencing Make Sense?Clinton Castro, Alan Rubel & Lindsey Schwartz - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    This paper examines the practice of using predictive systems to lengthen the prison sentences of convicted persons when the systems forecast a higher likelihood of re-offense or re-arrest. There has been much critical discussion of technologies used for sentencing, including questions of bias and opacity. However, there hasn’t been a discussion of whether this use of predictive systems makes sense in the first place. We argue that it does not by showing that there is no plausible theory of punishment that (...)
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  31. On Carnap sentences.P. Raatikainen - 2011 - Analysis 71 (2):245-246.
    The influential proposal that the analytical component of a theory is captured by its ‘Carnap sentence’ is critically scrutinized. A counterexample which makes the suggestion problematic is presented.
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  32. Why fuss about these quirks of the vernacular? Propositional attitude sentences in Prior’s nachlass.Giulia Felappi - 2016 - Synthese 193 (11):3521-3534.
    In English, in order to speak about Arthur’s attitudes, we use sentences like “Arthur believes that natural language is messy”. For sentences of this kind we have a standard theory, according to which the ‘that’-clause ‘that natural language is messy’ denotes a proposition. As Prior showed for the first time, the standard theory appears to be at odds with some linguistic data. Geach and Prior both assumed that linguistic data are to be taken as reliable guides to a correct semantic (...)
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  33. Identificational Sentences.Friederike Moltmann - 2013 - Natural Language Semantics 21 (1):43-77.
    Based on the notion of a trope, this paper gives a novel analysis of identificational sentences such as 'this is Mary','this is a beautiful woman', 'this looks like Mary', or 'this is the same lump of clay, but not the same statue as that'.
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  34. Frege, Sentence-questions, Questions, and Thoughts: a dialogue.Nathan William Davies - manuscript
    In the last forty years Dummett, Hanks, Künne, and Bobzien have claimed that when Frege wrote ‘Über Sinn und Bedeutung’, he thought that the sense of a sentence-question [Satzfrage] was not a thought [Gedanke] ((Dummett 1981: 307–308); (Hanks 2007: 142–143); (Künne 2010: 427–429); (Bobzien 2021: 163–164)). Recently, Textor has claimed that when Frege wrote ‘Über Sinn und Bedeutung’, he thought that the sense of a sentence-question was not a question [Frage] (Textor 2021: 227 fn.2). I think it is (...)
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  35. Strange Life of a Sentence.Beata Stawarska - 2015 - Philosophy Today 59 (2):305-316.
    In this essay, I follow the lead of recent scholarship in Saussure linguistics and critically examine the Saussurean doctrine associated with the Course in General Linguistics, which later became a hallmark of structuralism. Specifically, I reconstruct the history of the concluding sentence in the Course which establishes the priority of la langue over everything deemed external to it. This line assumed the status of an oft-cited ‘famous formula’ and became a structuralist motto. The ‘famous formula’ was, however, freely inserted (...)
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  36. Lyotard's Politics of the Sentence.Meili Steele - 1990 - Cultural Critique 16:193-214.
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  37. Null Sentences.Philip Hugly & Charles Sayward - 1999 - Iyyun, The Jewish Philosophical Quarterly 48:23-36.
    In Tractatus, Wittgenstein held that there are null sentences – prominently including logical truths and the truths of mathematics. He says that such sentences are without sense (sinnlos), that they say nothing; he also denies that they are nonsensical (unsinning). Surely it is what a sentence says which is true or false. So if a sentence says nothing, how can it be true or false? The paper discusses the issue.
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  38. Sentence processing strategies in adult bilinguals.Kerry Kilborn & Takehiko Ito - 1989 - In Brian MacWhinney & Elizabeth Bates (eds.), The Crosslinguistic study of sentence processing. New York: Cambridge University Press. pp. 257--291.
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  39. Practical Moore Sentences.Matthew Mandelkern - 2019 - Noûs 55 (1):39-61.
    I discuss what I call practical Moore sentences: sentences like ‘You must close your door, but I don’t know whether you will’, which combine an order together with an avowal of agnosticism about whether the order will be obeyed. I show that practical Moore sentences are generally infelicitous. But this infelicity is surprising: it seems like there should be nothing wrong with giving someone an order while acknowledging that you do not know whether it will obeyed. I suggest that this (...)
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  40. (2 other versions)Paradigms and self-reference: what is the point of asserting paradoxical sentences?Jakub Mácha - 2019 - In Shyam Wuppuluri & Newton da Costa (eds.), Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein's Philosophy. Springer Verlag. pp. 123-134.
    A paradox, according to Wittgenstein, is something surprising that is taken out of its context. Thus, one way of dealing with paradoxical sentences is to imagine the missing context of use. Wittgenstein formulates what I call the paradigm paradox: ‘one sentence can never describe the paradigm in another, unless it ceases to be a paradigm.’ (PG, p.346) There are several instances of this paradox scattered throughout Wittgenstein’s writings. I argue that this paradox is structurally equivalent to Russell’s paradox. The (...)
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  41. There May Be Many Arithmetical Gödel Sentences.Kaave Lajevardi & Saeed Salehi - 2021 - Philosophia Mathematica 29 (2):278–287.
    We argue that, under the usual assumptions for sufficiently strong arithmetical theories that are subject to Gödel’s First Incompleteness Theorem, one cannot, without impropriety, talk about *the* Gödel sentence of the theory. The reason is that, without violating the requirements of Gödel’s theorem, there could be a true sentence and a false one each of which is provably equivalent to its own unprovability in the theory if the theory is unsound.
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  42. truthmakers for 1st order sentences - a proposal.Friedrich Wilhelm Grafe - 2020 - Archive.Org.
    The purpose of this paper is to communicate - as a proposal - a general method of assigning a 'truthmaker' to any 1st order sentence in each of its models. The respective construct is derived from the standard model theoretic (recursive) satisfaction definition for 1st order languages and is a conservative extension thereof. The heuristics of the proposal (which has been somewhat idiosyncratic from the current point of view) and some more technical detail of the construction may be found (...)
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  43. A study on proposition and sentence in english grammar.Mudasir A. Tantray - 2016 - International Journal Of Humanities and Social Studies 4 (02):20-25.
    Proposition and sentence are two separate entities indicating their specific purposes, definitions and problems. A proposition is a logical entity. A proposition asserts that something is or not the case, any proposition may be affirmed or denied, all proportions are either true (1’s) or false (0’s). All proportions are sentences but all sentences are not propositions. Propositions are factual contains three terms: subject, predicate and copula and are always in indicative or declarative mood. While sentence is a grammatical (...)
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  44. Plural Action Sentences and Logical Form: Reply to Himmelreich.Kirk Ludwig - 2017 - Australasian Journal of Philosophy 95 (4):800-806.
    This paper replies to Himmelreich's ‘The Paraphrase Argument Against Collective Actions’ [2017], which presents three putative counterexamples to the multiple agents analysis of plural action sentences. The paper shows that the argument from the first example, the discursive dilemma, fails because it relies crucially on a simplification of the target analysis, and that the others don't bear on the question because they turn out on examination to be about individual rather than group action sentences.
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  45. Aristotle on Sentence and proposition.Mohammad Bagher Ghomi - manuscript
    Contrary to nouns and verbs that either do not include a co-positing of parts, including nouns and some verbs, or if they are, their parts do not significate separately, a sentence (λόγος) is a ‘significant portion of speech by co-positing, its parts signify something separately, though not as a positive or negative judgment but as utterance.’ (OI ., I, 4, 16b26-28). Therefore, every utterance in language that i) includes parts, ii) its signification is based on the co-positing of its (...)
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  46. The force of fictional discourse.Karl Bergman & Nils Franzen - 2022 - Synthese 200 (6).
    Consider the opening sentence of Tolkien’s The Hobbit: In a hole in the ground there lived a hobbit. By writing this sentence, Tolkien is making a fictional statement. There are two influential views of the nature of such statements. On the pretense view, fictional discourse amounts to pretend assertions. Since the author is not really asserting, but merely pretending, a statement such as Tolkien’s is devoid of illocutionary force altogether. By contrast, on the alternative make-believe view, fictional discourse (...)
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  47. Understanding Complex Sentences: Native Speaker Variation in Syntactic Competence.Ngoni Chipere - 2003 - Palgrave-Macmillan.
    Is native speaker variation in understanding complex sentences due to individual differences in working memory capacity or in syntactic competence? The answer to this question has very important consequences for both theoretical and applied concerns in linguistics and education. This book is distinctive in giving an historical and interdisciplinary perspective on the rule- based and experience-based debate and in supporting an integrated account. In the study reported here, variation was found to be due to differences in syntactic competence and the (...)
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  48. Serious Actualism, Typography, and Incompossible Sentences.Christopher James Masterman - 2023 - Erkenntnis:1-18.
    Serious actualists take it that all properties are existence entailing. I present a simple puzzle about sentence tokens which seems to show that serious actualism is false. I then consider the most promising response to the puzzle. This is the idea that the serious actualist should take ordinary property-talk to contain an implicit existential presupposition. I argue that this approach does not work: it fails to generalise appropriately to all sentence types and tokens. In particular, it fails to (...)
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  49. Probabilities on Sentences in an Expressive Logic.Marcus Hutter, John W. Lloyd, Kee Siong Ng & William T. B. Uther - 2013 - Journal of Applied Logic 11 (4):386-420.
    Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive languages like higher-order logic are ideally suited for representing and reasoning about structured knowledge. Uncertain knowledge can be modeled by using graded probabilities rather than binary truth-values. The main technical problem studied in this paper is the following: Given a set of sentences, each having some probability of being (...)
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  50. (1 other version)The Varieties of Russellianism.Philip Atkins - forthcoming - Erkentnnis.
    Russellianism is the view that the meaning of a proper name is the individual designated by the name. Together with other plausible assumptions, Russellianism entails the following: Sentences containing proper names express Russellian propositions, which involve the individual designated by the name as a direct constituent, and which can be represented as sets of individuals and properties. Moreover, as they occur in ordinary belief reports, ‘that’-clauses designate Russellian propositions. Such belief reports are true if and only if the subject of (...)
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