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Jiang, Tao. A buddhist scheme for engaging modern science: The case of taixu
2002, Journal of Chinese Philosophy 29(4): 533-552.

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Added by: Laura Jimenez

Summary: In this paper Tao Jiang examines Taixu's effort to revitalize Buddhism through an engagement with modern science. The main argument offered by Jiang is that a nonsubstantive view of the world is in fundamental agreement with many cutting-edge scientific theories and, therefore, Buddhism can indeed offer a new perspective in the debate between the practices of modern science and their social critics.

Comment: Good introductory paper to Chinese philosophy of science. The topic is highly specific and specialised, making this paper useful in postgraduate courses or, as the itself poses no difficulty of comprehension for more junior students, in specialised undergraduate classes.

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Keefe, Rosanna. Theories of Vagueness
2000, Cambridge University Press.

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Added by: Berta Grimau

Publisher's Note: Most expressions in natural language are vague. But what is the best semantic treatment of terms like 'heap', 'red' and 'child'? And what is the logic of arguments involving this kind of vague expression? These questions are receiving increasing philosophical attention, and in this timely book Rosanna Keefe explores the questions of what we should want from an account of vagueness and how we should assess rival theories. Her discussion ranges widely and comprehensively over the main theories of vagueness and their supporting arguments, and she offers a powerful and original defence of a form of supervaluationism, a theory that requires almost no deviation from standard logic yet can accommodate the lack of sharp boundaries to vague predicates and deal with the paradoxes of vagueness in a methodologically satisfying way. Her study will be of particular interest to readers in philosophy of language and of mind, philosophical logic, epistemology and metaphysics.

Comment: This book could be used in a philosophy of logic or a philosophy of language course which had a section on vagueness (either at undergraduate or postgraduate level). The first chapter provides a good main reading for such purpose. The book can also be used in a course focused on vagueness exclusively. The technical discussion is minimized throughout and presupposes only some familiarity with elementary logic.

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Keefe, Rosanna. What Logical Pluralism Cannot Be
2014, Synthese 191 (7):1375-1390

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Added by: Franci Mangraviti
Abstract:

Logical Pluralists maintain that there is more than one genuine/true logical consequence relation. This paper seeks to understand what the position could amount to and some of the challenges faced by its formulation and defence. I consider in detail Beall and Restall’s Logical Pluralism—which seeks to accommodate radically different logics by stressing the way that they each fit a general form, the Generalised Tarski Thesis (GTT)—arguing against the claim that different instances of GTT are admissible precisifications of logical consequence. I then consider what it is to endorse a logic within a pluralist framework and criticise the options Beall and Restall entertain. A case study involving many-valued logics is examined. I next turn to issues of the applications of different logics and questions of which logic a pluralist should use in particular contexts. A dilemma regarding the applicability of admissible logics is tackled and it is argued that application is a red herring in relation to both understanding and defending a plausible form of logical pluralism. In the final section, I consider other ways to be and not to be a logical pluralist by examining analogous positions in debates over religious pluralism: this, I maintain, illustrates further limitations and challenges for a very general logical pluralism. Certain less wide-ranging pluralist positions are more plausible in both cases, I suggest, but assessment of those positions needs to be undertaken on a case-by-case basis.

Comment: Makes for a nice counter in any course discussing Beall and Restall's pluralism. Given that the paper is a direct response, some previous familiarity with the topic is advised.

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Keller, Evelyn Fox, Helen Longino. Feminism and Science
1996, Oxford University Press.

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Added by: Benny Goldberg

Publisher's Note: Over the past fifteen years, a new dimension to the analysis of science has emerged. Feminist theory, combined with the insights of recent developments in the history, philosophy, and sociology of science, has raised a number of new and important questions about the content, practice, and traditional goals of science. Feminists have pointed to a bias in the choice and definition of problems with which scientists have concerned themselves, and in the actual design and interpretation of experiments, and have argued that modern science evolved out of a conceptual structuring of the world that incorporated particular and historically specific ideologies of gender. The seventeen outstanding articles in this volume reflect the diversity and strengths of feminist contributions to current thinking about science.

Comment: A wonderful edited collection of articles on feminist reactions to and interpretations of science. Perfect for introductory courses in feminist philosophy, feminist philosophy of science, and general philosophy of science.

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Klenk, Virginia. Understanding Symbolic Logic
2008, Pearson Prentice Hall.

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Added by: Berta Grimau
Publisher’s Note:
Description - This comprehensive introduction presents the fundamentals of symbolic logic clearly, systematically, and in a straightforward style accessible to readers. Each chapter, or unit, is divided into easily comprehended small bites that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics.

Comment: This book is ideal for a first introduction course to formal logic. It doesn't presuppose any logical knowledge. It covers propositional and first-order logic (monadic and relational).

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Kouri Kissel, Teresa, Stewart Shapiro. Classical Logic
2018, The Stanford Encyclopedia of Philosophy, Edward N. Zalta (ed.)

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Added by: Berta Grimau

Summary: This article provides the basics of a typical logic, sometimes called 'classical elementary logic' or 'classical first-order logic', in a rigorous yet accessible manner. Section 2 develops a formal language, with a syntax and grammar. Section 3 sets up a deductive system for the language, in the spirit of natural deduction. Section 4 provides a model-theoretic semantics. Section 5 turns to the relationships between the deductive system and the semantics, and in particular, the relationship between derivability and validity. The authors show that an argument is derivable only if it is valid (soundness). Then they establish a converse: that an argument is valid only if it is derivable (completeness). They also briefly indicate other features of the logic, some of which are corollaries to soundness and completeness. The final section, Section 6, is devoted to a brief examination of the philosophical position that classical logic is 'the one right logic'.

Comment: This article introduces all the necessary tools in order to understand both the proof-theoretic and the model-theoretic aspects of first-order classical logical consequence. As such it can be used as a main reading in an introductory logic course covering classical first-order logic (assuming the students will have already looked at classical propositional logic). Moreover, the article covers some metatheoretic results (soundness, completeness, compactness, upward and downward Löwenheim-Skolem), which makes it suitable as a reading for a slightly more advanced course in logic. Finally, the article includes a brief incursion into the topic of logical pluralism. This makes it suitable to be used in a course on non-classical logics with an introduction module on classical logic.

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Kouri Kissel, Teresa. Logical Pluralism from a Pragmatic Perspective
2018, Australasian Journal of Philosophy 96 (3):578-591

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Added by: Franci Mangraviti
Abstract:

This paper presents a new view of logical pluralism. This pluralism takes into account how the logical connectives shift, depending on the context in which they occur. Using the Question-Under-Discussion Framework as formulated by Craige Roberts, I identify the contextual factor that is responsible for this shift. I then provide an account of the meanings of the logical connectives which can accommodate this factor. Finally, I suggest that this new pluralism has a certain Carnapian flavour. Questions about the meanings of the connectives or the best logic outside of a specified context are not legitimate questions.

Comment: Can serve as an example of logical pluralism in any philosophy of logic course. Familiarity with the pluralisms of Shapiro and Carnap is helpful for comparison, but is not technically required.

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Lehan, Vanessa. Reducing Stereotype Threat in First-Year Logic Classes
2015, Feminist Philosophy Quarterly 1 (2):1-13.

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Added by: Clotilde Torregrossa, Contributed by: Matthew Clemens

Abstract: In this paper I examine some research on how to diminish or eliminate stereotype threat in mathematics. Some of the successful strategies include: informing our students about stereotype threat, challenging the idea that logical intelligence is an 'innate' ability, making students In threatened groups feel welcomed, and introducing counter-stereotypical role models. The purpose of this paper is to take these strategies that have proven successful and come up with specific ways to incorporate them into introductory logic classes. For example, the possible benefit of presenting logic to our undergraduate students by concentrating on aspects of logic that do not result in a clash of schemas.

Comment: A very accessible paper, requiring virtually no previous knowledge of logic or feminist philosophy. It is particularly appropriate for the "logic" session of a course on teaching philosophy. It can also be proposed as a preliminary reading for an intro to Logic course, insofar as knowledge of the interaction between stereotype threat and logic performance can have a positive effect on the performance of those potentially affected (as argued in the paper itself).

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Leng, Mary. Mathematics and Reality
2010, Oxford University Press, USA.

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Added by: Jamie Collin

Publisher's Note: Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true. But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.

Comment: This book presents the most developed account of mathematical fictionalism. The book, or chapters from it, would provide useful further reading in advanced undergraduate or postgraduate courses on metaphysics or philosophy of mathematics.

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Leng, Mary. “Algebraic” Approaches to Mathematics
2009, In Otávio Bueno & Øystein Linnebo (eds.). New Waves in Philosophy of Mathematics. Palgrave Macmillan.

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Added by: Jamie Collin

Summary: Surveys the opposition between views of mathematics which take mathematics to represent a independent mathematical reality and views which take mathematical axioms to define or circumscribe their subject matter; and defends the latter view against influential objections.

Comment: A very clear and useful survey text for advanced undergraduate or postgraduate courses on metaphysics or philosophy of mathematics.

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