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Added by: Viviane FairbankAbstract:
After introducing the adoption problem (AP) as the claim that certain basic logical principles cannot be adopted, I offer a characterization of this notion as a two-phase process consisting in (1) the acceptance of a basic logical principle, and (2) the development, in virtue of Phase 1, of a practice of inferring in accordance with that principle. The case of a subject who does not infer in accordance with universal instantiation is considered in detail. I argue that the AP has deep and wide implications for the epistemology of logic, extending well beyond Kripke’s original target, viz. Putnam’s proposal for the empirical revision of logic and its background Quinean epistemology. In particular, the AP questions whether basic logical principles could have a fundamental role in our inferential practices, drawing our attention to the nature of basic inferences and the need to have a clearer conception of them before taking a stand on the matter of the epistemic justification of the logical principles.
Cauman, Leigh S.. First Order Logic: An Introduction1998, Walter de Gruyter & Co.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Publisher's Note: This teaching book is designed to help its readers to reason systematically, reliably, and to some extent self-consciously, in the course of their ordinary pursuits-primarily in inquiry and in decision making. The principles and techniques recommended are explained and justified - not just stated; the aim is to teach orderly thinking, not the manipulation of symbols. The structure of material follows that of Quine's Methods of Logic, and may be used as an introduction to that work, with sections on truth-functional logic, predicate logic, relational logic, and identity and description. Exercises are based on problems designed by authors including Quine, John Cooley, Richard Jeffrey, and Lewis Carroll.Comment: This book is adequate for a first course on formal logic. Moreover, its table of contents follows that of Quine's "Methods of Logic", thus it can serve as an introduction or as a reference text for the study of the latter.
Fisher, Jennifer. On the Philosophy of Logic2007, Cengage Learning.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Publisher's Note: Jennifer Fisher's On the Philosophy of Logic explores questions about logic often overlooked by philosophers. Which of the many different logics available to us is right? How would we know? What makes a logic right in the first place? Is logic really a good guide to human reasoning? An ideal companion text for any course in symbolic logic, this lively and accessible book explains important logical concepts, introduces classical logic and its problems and alternatives, and reveals the rich and interesting philosophical issues that arise in exploring the fundamentals of logic.Comment: This book provides an introduction to some traditional questions within philosophy of logic. Moreover, it presents some non-classical logics. It includes an introduction to formal classical logic, so no previous technical knowledge is required. Adequate for a first course on philosophy of logic, either as main or further reading.
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.
Grover, Dorothy. Inheritors and Paradox1977, 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.
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.
Gupta, Anil. A Critique of Deflationism1993, 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.
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.
Hattiangadi, Anandi. Logical Conventionalism and the Adoption Problem2023, Aristotelian Society Supplementary Volume, 97(1), pp. 47–81-
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Added by: Viviane FairbankAbstract:
Abstract: In this paper, I take issue with a core commitment of logical conventionalism: that we impose a logic on ourselves by adopting general linguistic conventions governing our use of logical terms, thereby determining the meanings of the logical constants and which of our inferences are valid. Drawing on Kripke’s ‘adoption problem’, I argue that general logical principles cannot be adopted, either explicitly or implicitly. I go on to argue that the meanings of our logical terms, and the validity of our inferences, cannot depend on our adoption of logico-linguistic conventions.
Comment: Although this paper includes an argument against logical conventionalism (which is in itself interesting), it is also a helpfully clear overview of the so-called Adoption Problem in the philosophy of logic, and can be thus be featured as part of a course on contemporary issues in the epistemology of logic.
Hendricks, Vincent, John Symons. Epistemic Logic2006, Stanford Encyclopedia of Philosophy.-
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Added by: Jamie Collin
Abstract: Epistemic logic is the logic of knowledge and belief. It provides insight into the properties of individual knowers, has provided a means to model complicated scenarios involving groups of knowers and has improved our understanding of the dynamics of inquiry.Comment: This would be useful in a course on epistemology, formal epistemology, philosophical logic or formal methods in philosophy. This is quite a compact entry for the Stanford Enclyclopedia of Philosophy. It is not hugely technical, but symbol-phobes will find it logic-heavy.
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Birman, Romina. The Adoption Problem and the Epistemology of Logic
2023, Mind, 133(529): 37-60
Comment: This paper can be presented to students as an authoritative and accessible introduction to the so-called Adoption Problem in the philosophy of logic. It sets the stage for further more advanced readings on the topic.