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  1. Realizing Reason: A Narrative of Truth and Knowing.Danielle Macbeth - 2014 - Oxford, England: Oxford University Press.
    Danielle Macbeth offers a new account of mathematical practice as a mode of inquiry into objective truth, and argues that understanding the nature of mathematical practice provides us with the resources to develop a radically new conception of ourselves and our capacity for knowledge of objective truth.
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  • Rationality Through Reasoning.John Broome - 2013 - Wiley-Blackwell.
    _Rationality Through Reasoning_ answers the question of how people are motivated to do what they believe they ought to do, built on a comprehensive account of normativity, rationality and reasoning that differs significantly from much existing philosophical thinking. Develops an original account of normativity, rationality and reasoning significantly different from the majority of existing philosophical thought Includes an account of theoretical and practical reasoning that explains how reasoning is something we ourselves do, rather than something that happens in us Gives (...)
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  • First-Order Modal Logic.Melvin Chris Fitting & Richard L. Mendelsohn - 1998 - Dordrecht, Netherland: Kluwer Academic Publishers.
    This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.
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  • Wittgenstein's Notes on Logic.Michael Potter - 2008 - Oxford, England: Oxford University Press.
    The book features the complete text of the Notesi in a critical edition, with a detailed discussion of the circumstances in which they were compiled, leading to ...
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  • A Companion to Wittgenstein’s Tractatus.Max Black - 1964 - Cambridge University Press.
    Parts of the book date back to and some of the concluding remarks on ethics and the will may have been composed still earlier, when Wittgenstein admired ...
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  • Principia Mathematica to *56.Alfred North Whitehead & Bertrand Russell - 1962 - Cambridge University Press.
    The great three-volume Principia Mathematica is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premisses and primitive ideas, and so to prove that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will wish (...)
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  • Frege and the Logic of Sense and Reference.Kevin C. Klement - 2001 - Routledge.
    This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...)
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  • Frege: An Introduction to the Founder of Modern Analytic Philosophy.Sir Anthony Kenny - 1995 - Wiley-Blackwell.
    "Although almost unknown in his lifetime, it was Gottlob Frege (1848-1925) who set the agenda for much of twentieth-century philosophy." "His 'concept script' overthrew Aristotle's long-established system of logic and underlies all subsequent developments in the subject. His radically new approach to the foundations of arithmetic, based on fresh definitions of the terms 'zero', 'one' and 'successor', revolutionized our understanding of mathematics. And his important insights into the nature of language and meaning provided the framework for Russell, Wittgenstein and twentieth-century (...)
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  • Kritik der Reinen Vernunft.Immanuel Kant - 1900 - Georg Reimer.
    überall einen richtigen Gebrauch der reinen Vernunft giebt, in welchem Fall es auch einen Canon derselben geben muß, so wird dieser nicht den speculativen, sondernden pr.ntischen Vernunftgebrauch betreffen, den wir also iezt ...
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  • Russell, Idealism, and the Emergence of Analytic Philosophy.Peter Hylton - 1990 - Oxford University Press.
    Analytic philosophy has become the dominant philosophical tradition in the English-speaking world. This book illuminates that tradition through a historical examination of a crucial period in its formation: the rejection of Idealism by Bertrand Russell and G.E. Moore at the beginning of the twentieth century, and the subsequent development of Russell's thought in the period before the First World War.
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  • Frege's Theory of Judgement.David Bell - 1979 - Oxford University Press.
    Examines Frege's theory of judgement, according to which a judgement is, paradigmatically, the assertion that a particular object falls under a given concept. Throughout the book the aim is to both state Frege's views clearly and concisely, and to defend, modify or reject these where appropriate.
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  • An Introduction to Wittgenstein's Tractatus.Gertrude Elizabeth Margaret Anscombe - 1959 - London, England: St. Augustine's Press.
    Anscombe guides us through the Tractatus and, thereby, Wittgenstein's early philosophy as a whole. She shows in particular how his arguments developed out of the discussions of Russell and Frege. This reprint is of the fourth, corrected edition.
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  • Frege: A Guide for the Perplexed.Edward Kanterian - 2012 - London: Bloomsbury.
    Gottlob Frege (1848-1925) was one of the founders of analytical philosophy and the greatest innovator in logic since Aristotle. He introduced many influential philosophical ideas, such as the distinctions between function and argument, or between sense and reference. However, his thought is not readily accessible to the non- expert. His conception of logic, which was crucial to his grand project, the reduction of arithmetic to logic, is especially difficult to grasp. This book provides a lucid and critical introduction to Frege's (...)
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  • Propositional Content.Peter Hanks - 2015 - Oxford University Press.
    Peter Hanks defends a new theory about the nature of propositional content, according to which the basic bearers of representational properties are particular mental or spoken actions. He explains the unity of propositions and provides new solutions to a long list of puzzles and problems in philosophy of language.
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  • Assertion.Peter Geach - 1965 - Philosophical Review 74 (4):449-465.
  • First Order Modal Logic.Melvin Fitting & Richard Mendelsohn - 1998 - Studia Logica 68 (2):287-289.
  • Putnam's Doctrine of Natural Kind Words and Frege's Doctrines of Sense, Reference, and Extension: Can They Cohere?David Wiggins - 1994 - In Peter Clark & Bob Hale (eds.), Reading Putnam. Blackwell. pp. 59--74.
  • Kritik Der Reinen Vernunft.Immanuel Kant, Jens Timmermann, Werner S. Pluhar, Paul Guyer & Allen W. Wood - 1999 - Erkenntnis 51 (2-3):357-363.
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  • The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
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  • A Companion to Wittgenstein’s Tractatus.Anne Narveson - 1967 - Philosophy of Science 34 (1):69-73.
  • Frege's Influence on Wittgenstein: Reversing Metaphysics Via the Context Principle.Erich Reck - 2005 - In Gottlob Frege: Critical Assessments of Leading Philosophers, Vol. I. London: Routledge. pp. 241-289.
    Gottlob Frege and Ludwig Wittgenstein (the later Wittgenstein) are often seen as polar opposites with respect to their fundamental philosophical outlooks: Frege as a paradigmatic "realist", Wittgenstein as a paradigmatic "anti-realist". This opposition is supposed to find its clearest expression with respect to mathematics: Frege is seen as the "arch-platonist", Wittgenstein as some sort of "radical anti-platonist". Furthermore, seeing them as such fits nicely with a widely shared view about their relation: the later Wittgenstein is supposed to have developed his (...)
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  • Frege's Judgement Stroke and the Conception of Logic as the Study of Inference Not Consequence.Nicholas J. J. Smith - 2009 - Philosophy Compass 4 (4):639-665.
    One of the most striking differences between Frege's Begriffsschrift (logical system) and standard contemporary systems of logic is the inclusion in the former of the judgement stroke: a symbol which marks those propositions which are being asserted , that is, which are being used to express judgements . There has been considerable controversy regarding both the exact purpose of the judgement stroke, and whether a system of logic should include such a symbol. This paper explains the intended role of the (...)
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  • Peano’s Review of Frege’s Grundgesetze.Victor Dudman - 1971 - Southern Journal of Philosophy 9 (1):25-37.
  • Consistent Fragments of Grundgesetze and the Existence of Non-Logical Objects.Kai F. Wehmeier - 1999 - Synthese 121 (3):309-328.
    In this paper, I consider two curious subsystems ofFrege's Grundgesetze der Arithmetik: Richard Heck's predicative fragment H, consisting of schema V together with predicative second-order comprehension (in a language containing a syntactical abstraction operator), and a theory T in monadic second-order logic, consisting of axiom V and 1 1-comprehension (in a language containing anabstraction function). I provide a consistency proof for the latter theory, thereby refuting a version of a conjecture by Heck. It is shown that both Heck and T (...)
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  • Frege's Theory of Hybrid Proper Names Developed and Defended.Mark Textor - 2007 - Mind 116 (464):947-982.
    Does the English demonstrative pronoun 'that' (including complex demonstratives of the form 'that F') have sense and reference? Unlike many other philosophers of language, Frege answers with a resounding 'No'. He held that the bearer of sense and reference is a so-called 'hybrid proper name' (Künne) that contains the demonstrative pronoun and specific circumstances of utterance such as glances and acts of pointing. In this paper I provide arguments for the thesis that demonstratives are hybrid proper names. After outlining why (...)
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  • Truth, Assertion, and the Horizontal: Frege on "the Essence of Logic".William W. Taschek - 2008 - Mind 117 (466):375-401.
    In the opening to his late essay, Der Gedanke, Frege asserts without qualification that the word "true" points the way for logic. But in a short piece from his Nachlass entitled "My Basic Logical Insights", Frege writes that the word true makes an unsuccessful attempt to point to the essence of logic, asserting instead that "what really pertains to logic lies not in the word "true" but in the assertoric force with which the sentence is uttered". Properly understanding what Frege (...)
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  • Frege's Judgement Stroke.Nicholas J. J. Smith - 2000 - Australasian Journal of Philosophy 78 (2):153 – 175.
    This paper brings to light a new puzzle for Frege interpretation, and offers a solution to that puzzle. The puzzle concerns Frege’s judgement-stroke (‘|’), and consists in a tension between three of Frege’s claims. First, Frege vehemently maintains that psychological considerations should have no place in logic. Second, Frege regards the judgementstroke—and the associated dissociation of assertoric force from content, of the act of judgement from the subject matter about which judgement is made—as a crucial part of his logic. Third, (...)
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  • Truth as a Normative Modality of Cognitive Acts.Gila Sher & Cory Wright - 2007 - In Geo Siegwart & Dirk Griemann (eds.), Truth and Speech Acts: Studies in the Philosophy of Language. Routledge. pp. 280-306.
    Attention to the conversational role of alethic terms seems to dominate, and even sometimes exhaust, many contemporary analyses of the nature of truth. Yet, because truth plays a role in judgment and assertion regardless of whether alethic terms are expressly used, such analyses cannot be comprehensive or fully adequate. A more general analysis of the nature of truth is therefore required – one which continues to explain the significance of truth independently of the role alethic terms play in discourse. We (...)
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  • Peano’s Review of Frege’s Grundgesetze.Victor Dudman - 1971 - Southern Journal of Philosophy 9 (1):25-37.
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  • Inference, Consequence, Implication: A Constructivist's Perspective.Göran Sundholm - 1998 - Philosophia Mathematica 6 (2):178-194.
    An implication is a proposition, a consequence is a relation between propositions, and an inference is act of passage from certain premise-judgements to another conclusion-judgement: a proposition is true, a consequence holds, whereas an inference is valid. The paper examines interrelations, differences, refinements and linguistic renderings of these notions, as well as their history. The truth of propositions, respectively the holding of consequences, are treated constructively in terms of verification-objects. The validity of an inference is elucidated in terms of the (...)
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  • Russell, Idealism, and the Emergence of Analytic Philosophy.Thomas Baldwin - 1992 - Journal of Philosophy 89 (1):51-55.
  • The Early Wittgenstein on Logical Assertion.Ian Proops - 1997 - Philosophical Topics 25 (2):121-144.
    The paper argues that Wittgenstein's criticisms of Frege and Russell's assertion sign are, a bottom, criticisms of a common flaw in these philosophers' early conceptions of the proposition. Each philosopher offers an account of the proposition that *seems* to suggest that a sentence cannot get so far as to say something without the addition of the assertion sign. This leads to the mistaken idea that there is a coherent notion of "logical assertion.".
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  • The Judgement-Stroke as a Truth-Operator: A New Interpretation of the Logical Form of Sentences in Frege's Scientific Language.D. Greimann - 2000 - Erkenntnis 52 (2):213-238.
    The syntax of Frege's scientific language is commonly taken to be characterized by two oddities: the representation of the intended illocutionary role of sentences by a special sign, the judgement-stroke, and the treatment of sentences as a species of singular terms. In this paper, an alternative view is defended. The main theses are: the syntax of Frege's scientific language aims at an explication of the logical form of judgements; the judgement-stroke is, therefore, a truth-operator, not a pragmatic operator; in Frege's (...)
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  • The Consistency of Predicative Fragments of Frege’s Grundgesetze der Arithmetik.Richard G. Heck - 1996 - History and Philosophy of Logic 17 (1):209-220.
    As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell?s Paradox being derivable in it.This system is, except for minor differences, full second-order logic, augmented by a single non-logical axiom, Frege?s Axiom V. It has been known for some time now that the first-order fragment of the theory is consistent. The present paper establishes that both the simple and the ramified predicative second-order fragments are consistent, and that Robinson arithmetic, Q, is (...)
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  • Remarks on Frege's Conception of Inference.Gregory Currie - 1987 - Notre Dame Journal of Formal Logic 28 (1):55-68.
  • Sense and Reference: The Origins and Development of the Distinction.Michael Kremer - 2010 - In Tom Ricketts & Michael D. Potter (eds.), The Cambridge Companion to Frege. Cambridge University Press. pp. 220--292.
    Frege’s distinction between sense (Sinn) and meaning (Bedeutung) is his most influential contribution to philosophy, however central it was to his own projects, and however he may have conceived its importance. Philosophers of language influenced by, or reacting against the distinction, and historians of philosophy commenting on it, have all contributed to the voluminous literature surrounding it.1 Nonetheless in this essay I hope to shed new light on the distinction by considering it in the context of the development of Frege’s (...)
     
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  • Frege's Epistemology.Philip Kitcher - 1979 - Philosophical Review 88 (2):235-262.
  • Frege.Michael Dummett - 1975 - Teorema: International Journal of Philosophy 5 (2):149-188.
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  • Frege and the Grammar of Truth.Richard Mendelsohn - 2001 - In Richard Gaskin (ed.), Grammar in Early Twentieth-Century Philosophy. New York: Routledge. pp. 28-53.
     
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  • Sense, Incomplete Understanding, and the Problem of Normative Guidance.Walter B. Pedriali - 2017 - Grazer Philosophische Studien 94 (1-2):1-37.
    Frege seems committed to the thesis that the senses of the fundamental notions of arithmetic remain stable and are stably grasped by thinkers throughout history. Fully competent practitioners grasp those senses clearly and distinctly, while uncertain practitioners see them, the very same senses, “as if through a mist”. There is thus a common object of the understanding apprehended to a greater or lesser degree by thinkers of diverging conceptual competence. Frege takes the thesis to be a condition for the possibility (...)
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  • Frege's Logic.Peter M. Sullivan - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 659-750.
  • Judgment and Truth in Frege.Michael Kremer - 2000 - Journal of the History of Philosophy 38 (4):549-581.
    Thomas Ricketts has developed a powerful interpretation of Frege on judgment, truth and logic. Recently, Ricketts has modified his reading, holding that judgment is an act of knowledge-acquisition; this rules out incorrect judgment. I argue that Ricketts goes too far here. I criticize the textual basis for Ricketts's new view, and show that the interpretive problems which led him to this change can be met without such extreme measures. Thus, I defend Ricketts' earlier view against his own later modification. Along (...)
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  • A Companion to Wittgenstein’s Tractatus.Robert Sternfeld - 1965 - Philosophy and Phenomenological Research 26 (2):287-290.
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  • Frege on the Indefinability of Truth.Hans Sluga - 2002 - In Erich H. Reck (ed.), From Frege to Wittgenstein: Perspectives on Early Analytic Philosophy. Oxford University Press.
  • Translators' Introduction.Philip A. Ebert & Marcus Rossberg - 2013 - In Gottlob Frege (ed.), Basic Laws of Arithmetic, Derived Using Concept-Script: Volumes I & II. Oxford: Oxford University Press.
  • Frege on Knowing the Foundation.Tyler Burge - 1998 - Mind 107 (426):305-347.
    The paper scrutinizes Frege's Euclideanism - his view of arithmetic and geometry as resting on a small number of self-evident axioms from which non-self-evident theorems can be proved. Frege's notions of self-evidence and axiom are discussed in some detail. Elements in Frege's position that are in apparent tension with his Euclideanism are considered - his introduction of axioms in The Basic Laws of Arithmetic through argument, his fallibilism about mathematical understanding, and his view that understanding is closely associated with inferential (...)
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  • Merely Entertaining a Thought, Judging and Asserting.Wolfgang Künne - 2013 - In Mark Textor (ed.), Judgement and Truth in Early Analytic Philosophy and Phenomenology. Palgrave. pp. 52.
  • Hybrid Proper Names.Wolfgang Künne - 1992 - Mind 101 (404):721-731.
  • Frege’s Theory of Hybrid Proper Names Extended.Mark Textor - 2015 - Mind 124 (495):823-847.
    According to Frege, neither demonstratives nor indexicals are singular terms; only a demonstrative together with ‘circumstances accompanying its utterance’ has sense and singular reference. While this view seems defensible for demonstratives, where demonstrations serve as non-verbal signs, indexicals, especially pure indexicals like ‘I’, ‘here’, and ‘now’, seem not to be in need of completion by circumstances of utterance. In this paper I argue on the basis of independent reasons that indexicals are in fact in need of completion; I identify the (...)
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  • Frege on Judging as Acknowledging the Truth.Mark Textor - 2010 - Mind 119 (475):615-655.
    According to Frege, judgement is the ‘logically primitive activity’. So what is judgement? In his mature work, he characterizes judging as ‘acknowledging the truth’ (‘Anerkennen der Wahrheit’). Frege’s remarks about judging as acknowledging the truth of a thought require further elaboration and development. I will argue that the development that best suits his argumentative purposes takes acknowledging the truth of a thought to be a non-propositional attitude like seeing an object; it is a mental relation between a thinker, a thought, (...)
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