Topic: Philosophy of the Formal Social and Natural Sciences -> Logic and Mathematics
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Grover, Dorothy, Joseph Kamp, Nuel Belnap. A Prosentential Theory of Truth
1975, Philosophical Studies 27(1): 73-125.

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Added by: Jamie Collin
Summary: Classic presentation of the prosentential theory of truth: an important, though minority, deflationist account of truth. Prosententialists take 'It is true that' to be a prosentence forming operator that anaphorically picks out content from claims made further back in the anaphoric chain (in the same way that pronouns such as 'he', 'she' and 'it' anaphorically pick out referents from nouns further back in the anaphoric chain).
Comment: Good as a primary reading on a course on truth, philosophy of language, or on deflationism more generally. Any course that treats deflationary accounts of truth in any detail would deal with the prosentential theory of truth, and this is one of the most historically important presentations of that theory. Would be best used in advanced undergraduate or graduate courses.
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Grover, Dorothy. Inheritors and Paradox
1977, Journal of Philosophy 74(10): 590-604

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Added by: Jamie Collin
Summary: Classic account of the way in which the prosentential theory of truth handles the liar paradox. Prosententialists take 'It is true that' to be a prosentence forming operator that anaphorically picks out content from claims made further back in the anaphoric chain (in the same way that pronouns such as 'he', 'she' and 'it' anaphorically pick out referents from nouns further back in the anaphoric chain). Liar sentences have no proposition-stating antecedents in the anaphoric chain. As a result, the problem of the liar does not arise.
Comment: Good as a primary reading on a course on truth, paradox, philosophy of language, or on deflationism more generally. Any course that treats deflationary accounts of truth in any detail would deal with the prosentential theory of truth, and this is one of the most historically important presentations of that theory. This is particularly useful in courses on paradox, as it is a rare articulation of the idea that the liar paradox is not "deep" and does not require large revisions to classical logic. Would be best used in advanced undergraduate or graduate courses.
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Grover, Dorothy. How Significant is the Liar?
2008, In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox. OUP Oxford.

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Added by: Jamie Collin
Summary: Grover argues that one should be unconcerned about the liar paradox. In formal languages there are uniform ties between syntax and semantics: a term, in all its occurrences, carries a fixed meaning; and sequences of sentences that are (syntactically) proofs are always (semantically) inferences. These two features do not hold of natural languages. Grover makes use of this claim to argue that there are no arguments to contradictions from liar sentences in natural languages, as the relevant syntactic 'moves' do not come with relevant semantic 'moves'.
Comment: This would be useful in a course on truth, the philosophy of language or paradoxes. It provides a very up to date account of the prosentential theory of truth and how it may be able to deal with semantic paradoxes. Not as technical as some literature on the topic.
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Guen Hart, Carroll. “Power in the service of love”: John Dewey’s Logic and the Dream of a Common Language
1993, Hypatia 8 (2):190-214
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Added by: Franci Mangraviti
Abstract:

While contemporary feminist philosophical discussions focus on the oppressiveness of universality which obliterates “difference,” the complete demise of universality might hamper feminist philosophy in its political project of furthering the well-being of all women. Dewey's thoroughly functionalized, relativized, and fallibilized understanding of universality may help us cut universality down to size while also appreciating its limited contribution. Deweyan universality may signify the ongoing search for a genuinely common language in the midst of difference.

Comment: available in this Blueprint
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Gupta, Anil. A Critique of Deflationism
1993, Philosophical Topics 21: 57-81.

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Added by: Jamie Collin
Summary: Argues against deflationary conceptions of truth. Deflationism provides a descriptive account of the term 'true', but these claims, argues Gupta, are both very strong and problematic.
Comment: This would be very useful in a course on the nature of truth, or any course in which deflationary conceptions of truth are relevant. The paper is not technical and provides a good account of deflationism about truth. This would be suitable for undergraduates or graduates.
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Gupta, Anil. Do the Paradoxes Pose a Special Problem for Deflationism?
2006, In J. C. Beall and Bradley Armour-Garb (eds.), Deflationism and Paradox, Oxford University Press. 133-147.

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Added by: Jamie Collin
Summary: The Liar and other semantic paradoxes pose a difficult problem for all theories of truth. Any theory that aims to improve our understanding of the concept of truth must, when fully stated, include an account of the paradoxes. Not only deflationism but also its competitors - for instance, correspondence and coherence - must ultimately address the paradoxes. The question that concerns me in this essay is whether it is especially urgent for deflationism to do so. Are the paradoxes a special threat, a special problem, for deflationism? I will argue that they are not.1 Deflationists can leave the paradoxes to the specialists to puzzle over. It is the specialists who will be well served if they keep some insights of deflationism firmly in view.
Comment: This would be useful in a course on the nature of truth, or on paradoxes. This is slightly more specialised than 'A Critique of Deflationism' but still good reading material for an advanced undergraduate or graduate course. The paper is not easy, but clear and not very technical.
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Gupta, Anil. Truth
2001, In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell
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Added by: Franci Mangraviti
Abstract:

The concept of truth serves in logic not only as an instrument but also as an object of study. Eubulides of Miletus (fl. fourth century BCE), a Megarian logician, discovered the paradox known as ‘the Liar,’ and, ever since his discovery, logicians down the ages - Aristotle and Chrysippus, John Buridan and William Heytesbury, and Alfred Tarski and Saul Kripke, to mention just a few - have tried to understand the puzzling behavior of the concept of truth.

Comment: Can be used in an advanced course on (formal approaches to) truth or the Liar paradox. Familiarity with the semantics of first-order classical logic and transfinite induction is assumed (for the latter, Ch.3 of the Blackwell Guide might be of help - using the Blackwell Guide as a blueprint may also be a way to incorporate this reading in a general advanced course on philosophical logic).
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Haack, Susan. Philosophy of Logics
1978, Cambridge: Cambridge University Press.

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Added by: Jie Gao
Publisher's Note: The first systematic exposition of all the central topics in the philosophy of logic, Susan Haack's book has established an international reputation (translated into five languages) for its accessibility, clarity, conciseness, orderliness, and range as well as for its thorough scholarship and careful analyses. Haack discusses the scope and purpose of logic, validity, truth-functions, quantification and ontology, names, descriptions, truth, truth-bearers, the set-theoretical and semantic paradoxes, and modality. She also explores the motivations for a whole range of nonclassical systems of logic, including many-valued logics, fuzzy logic, modal and tense logics, and relevance logics.
Comment: This textbook is intended particularly for philosophy students who have completed a first course in elementary logic. But, though the book is clearly written, such students still may find the content difficult, as it addresses difficult topics in the foundations of logic the primary literature for which is very technical. That said, it has been a widely used textbook for courses on philosophy of logic. Chapters of it can be used individually in accordance with the arrangements of the course.
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Haack, Susan. The Justification of Deduction
1976, Mind 85 (337): 112-119.

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Added by: Jie Gao
Abstract: It is often taken for granted by writers who propose - and, for that matter, by writers who oppose - 'justifications' of inductions, that deduction either does not need, or can readily be provided with, justification. The purpose of this paper is to argue that, contrary to this common opinion, problems analogous to those which, notoriously, arise in the attempt to justify induction, also arise in the attempt to justify deduction.
Comment: This paper argues that justification for deduction, like justification for induction, also has the problem of circularity. It is suitable for teachings on topic of justification for inference in a course on philosophy of logic.
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Haaparanta, Leila. The Relations between Logic and Philosophy, 1874-1931
2009, In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press
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Added by: Franci Mangraviti
Abstract:

This chapter gives a survey of the field of philosophy where the philosophical foundations of modern logic were discussed and where such themes of logic were discussed that were on the borderline between logic and other branches of the philosophical enterprise, such as metaphysics and epistemology. The contributions made by Gottlob Frege and Charles Peirce are included since their work in logic is closely related to and also strongly motivated by their philosophical views and interests. In addition, the chapter pays attention to a few philosophers to whom logic amounted to traditional Aristotelian logic and to those who commented on the nature of logic from a philosophical perspective without making any significant contribution to the development of formal logic.

Comment: Could be used in a history of logic course, as an overview of developments at the turn of the century. It spends a lot of time contextualizing and comparing Frege and Husserl's philosophies of logic, so it could also be a good further reading for a course focusing on either of them. The text assumes almost no previous knowledge of logic, or of the authors in question.
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