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Added by: Jamie Collin
Publisher's Note: Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved, what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objective world of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view - realism - is assessed and finally rejected in favour of another - naturalism - which attends less to metaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in the assessment of candidates for axiomatic status in set theory. Maddy's clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.Maddy, Penelope. Three Forms of Naturalism2005, in The Oxford Handbook of Philosophy of Mathematics and Logic, (ed.) S. Shapiro. New York: Oxford University Press.-
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Added by: Jamie Collin
Summary: A clear introduction to mathematical naturalism and its Quinean roots; developing and defending Maddy's own naturalist philosophy of mathematics. Maddy claims that the Quinian ignores some nuances of scientific practice that have a bearing on what the naturalist should take to be the real scientific standards of evidence. Historical studies show that scientists sometimes do not take themselves to be committed to entities that are indispensably quantified over in their best scientific theories, hence the Quinian position that naturalism dictates that we are committed to entities that are indispensably quantified over in our best scientific theories is incorrect.Comment: Good primary reading in advanced undergraduate or postgraduate courses on metaphysics, naturalism or philosophy of mathematics. This would serve well both as a clear and fairly concise introduction to Quinean naturalism and to the indispensability argument in the philosophy of mathematics.
Maddy, Penelope. The Philosophy of Logic2012, Bulletin of Symbolic Logic 18(4): 481-504.-
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Added by: Berta Grimau, Contributed by: Matt Clemens
Abstract: This talk surveys a range of positions on the fundamental metaphysical and epistemological questions about elementary logic, for example, as a starting point: what is the subject matter of logic - what makes its truths true? how do we come to know the truths of logic? A taxonomy is approached by beginning from well-known schools of thought in the philosophy of mathematics - Logicism, Intuitionism, Formalism, Realism - and sketching roughly corresponding views in the philosophy of logic. Kant, Mill, Frege, Wittgenstein, Carnap, Ayer, Quine, and Putnam are among the philosophers considered along the way.Comment: This is a survey article which considers positions within philosophy of logic analogous to the views held by the various schools of the philosophy of mathematics. The article touches briefly on many positions and authors and is thus an excellent introduction to the philosophy of logic, specially for students already familiar with the philosophy of mathematics. The text is informal and it does not involve any proofs.
Magidor, Ofra, Stephen Kearns. Epistemicism about vagueness and meta-linguistic safety2008, Philosophical Perspectives 22 (1): 277-304.-
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Added by: Berta Grimau
Abstract: The paper challenges Williamson's safety based explanation for why we cannot know the cut-off point of vague expressions. We assume throughout (most of) the paper that Williamson is correct in saying that vague expressions have sharp cut-off points, but we argue that Williamson's explanation for why we do not and cannot know these cut-off points is unsatisfactory. In sect 2 we present Williamson's position in some detail. In particular, we note that Williamson's explanation relies on taking a particular safety principle ('Meta-linguistic belief safety' or 'MBS') as a necessary condition on knowledge. In section 3, we show that even if MBS were a necessary condition on knowledge, that would not be sufficient to show that we cannot know the cut-off points of vague expressions. In section 4, we present our main case against Williamson's explanation: we argue that MBS is not a necessary condition on knowledge, by presenting a series of cases where one's belief violates MBS but nevertheless constitutes knowledge. In section 5, we present and respond to an objection to our view. And in section 6, we briefly discuss the possible directions a theory of vagueness can take, if our objection to Williamson's theory is taken on board.Comment: This paper would work well as a secondary reading in a course on vagueness with a section on epistemicism. For instance, the course could present Williamson's as the main proposal within that tradition and then turn to this paper for criticism and an alternative proposal within the same tradition.
Magidor, Ofra. Arguments by Leibniz’s Law in Metaphysics2011, Philosophy Compass 6 (3):180-195-
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Added by: Berta Grimau
Abstract: Leibniz's Law (or as it sometimes called, 'the Indiscerniblity of Identicals') is a widely accepted principle governing the notion of numerical identity. The principle states that if a is identical to b, then any property had by a is also had by b. Leibniz's Law may seem like a trivial principle, but its apparent consequences are far from trivial. The law has been utilised in a wide range of arguments in metaphysics, many leading to substantive and controversial conclusions. This article discusses the applications of Leibniz's Law to arguments in metaphysics. It begins by presenting a variety of central arguments in metaphysics which appeal to the law. The article then proceeds to discuss a range of strategies that can be drawn upon in resisting an argument by Leibniz's Law. These strategies divide into three categories: (i) denying Leibniz's Law; (ii) denying that the argument in question involves a genuine application of the law; and (iii) denying that the argument's premises are true. Strategies falling under each of these three categories are discussed in turn.
Comment: Ideal as a main reading in a course in general metaphysics with a section on Leibniz's Law, at both undergrad and postgrad level.
Mahtani, Anna. Imaginative resistance without conflict2012, Philosophical Studies 158 (3):415-429.-
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Added by: Chris Blake-Turner, Contributed by: Christy Mag Uidhir
Abstract: I examine a range of popular solutions to the puzzle of imaginative resistance. According to each solution in this range, imaginative resistance occurs only when we are asked to imagine something that conflicts with what we believe. I show that imaginative resistance can occur without this sort of conflict, and so that every solution in the range under consideration fails. I end by suggesting a new explanation for imaginative resistance - the Import Solution - which succeeds where the other solutions considered failComment:
Maiese, Michelle. Mindshaping, Enactivism, and Ideological Oppression2021, Topoi 41 (2), pp. 341-354-
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Added by: Maria Jimena Clavel VazquezAbstract:
One of humans' distinctive cognitive abilities is that they develop an array of capacities through an enculturation process. In "Cognition as a Social Skill", Sally points to one of the dangers associated with enculturation: ideological oppression. To conceptualize how such oppression takes root, Haslanager appeals to notions of mindshaping and social coordination, whereby people participate in oppressive social practices unthinkingly or even willingly. Arguably, an appeal to mindshaping provides a new kind of argument, grounded in philosophy of mind, which supports the claims that feminist and anti-racist want to defend. However, some theorists worry that Haslanger's account does not shed much light on how individuals could exert their agency to resist oppression. I argue that enactivist conceptions of mindshaping and habit can help us to make sense of the power of social influences and how they have the potential to both enable and undermine cognition and agency. This moves us toward increased understanding of the workings of social oppression - distinguishing between constructive and enabling forms of heteronomy, and overdetermining and pernicious modes that lead to atrophied moral cognition and a narrowing of the field of affordances.Comment:
available in this Blueprint
Maiese, Michelle. Transformative Learning, Enactivism, and Affectivity2015, Studies in Philosophy and Education 36(2), pp. 197-216-
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Added by: Maria Jimena Clavel VazquezAbstract:
Education theorists have emphasized that transformative learning is not simply a matter of students gaining access to new knowledge and information, but instead centers upon personal transformation: it alters students' perspectives, interpretations, and responses. How should learning that brings about this sort of self-transformation be understood from the perspectives of philosophy of mind and cognitive science? Jack Mezirow has described transformative learning primarily in terms of critical reflection, meta-cognitive reasoning, and the questioning of assumptions and beliefs. And within mainstream philosophy of mind, there has been a long-standing assumption that cognition and thought are brain-based, computational, disembodied processes that occur separately from emotion and affect. According to this view, selftransformation might be construed as the forging of new neural connections and the development of new cognitive “programs.†However, I will argue that the literature on embodiment and enactivism that has emerged in recent years offers us a different and more productive way to conceptualize the intended effects of transformative learning. From the standpoint of enactivism, the experience of transformative learning is thoroughly bound up with the cognitive shifts that it involves, and it also involves significant changes to the neurobiological dynamics of the living body. Moreover, personal transformation is not simply something that happens to subjects, but rather a process in which they are actively and dynamically engaged. In addition, this enactivist approach emphasizes that the learning process is fully embodied and fundamentally affective. From a phenomenological perspective, personal transformation can be understood as a pronounced alteration in cognitive-affective orientation; and from a neurobiological perspective, the development of new habits of mind can be understood as the formation of highly integrated patterns of bodily engagement and response. The upshot is that it is not just subjects’ brains that are altered over the course of transformative learning, but also their overall bodily and affective attunement to their surroundings.Comment:
available in this Blueprint
Maitra, Keya. Towards a feminist theory of mental content2022, in McWeeny, J. and Maitra, K. (eds) Feminist Philosophy of Mind. New York: Oxford University Press, pp. 70-85-
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Added by: Adriana Alcaraz Sanchez and Jodie RussellAbstract:
In this article, Maitra explores the intersection of feminist theory and philosophy of mind, aiming to develop a feminist theory of mental content. She examines how traditional theories of mental content in the philosophy of mind have not properly captured the experiences and mental states of marginalised groups. These theories, according to Maitra, have overlooked the role of historical and sociocultural forces and how they shape the content of many social constructs. The article advocates for a more inclusive and context-sensitive approach to mental content, one that acknowledges the impact of social and cultural factors on individual cognition and experiences. To that aim, Maitra offers a feminist modification of Millikan's Teleosemantic View by articulating a notion of "function", the content of representational content, as resulting from cultural and social contexts. She ends the article by showing an application of this modified Teleosemantic View for understanding how certain oppressive terms (i.e. 'whiteness', 'immigrant') come to have the content they do, by drawing into José Jorge Mendoza's article "Illegal: White Supremacy and Immigration Status".
Comment (from this Blueprint): Maitra is one of the first to put forward a proposal for a feminist account of mental content by offering a revision of Millikan's teleosemantic account that considers the role of the historical and societal context in the constitution of representational content. She offers a nuanced analysis of mainstream theories of mental content, including Putnam's and Burge's externalism and argues that those views should undertake some modifications before they can be adopted in a feminist framework: namely, their lack of consideration of the historical and societal context.
Malanowski, Sarah. Is Episodic Memory Uniquely Human? Evaluating the Episodic-like Memory Research Program2016, Synthese 193 (5):1433-1455-
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Added by: Andrea Blomqvist
Abstract: Recently, a research program has emerged that aims to show that animals have a memory capacity that is similar to the human episodic memory capacity. Researchers within this program argue that nonhuman animals have episodic-like memory of personally experienced past events. In this paper, I specify and evaluate the goals of this research program and the progress it has made in achieving them. I will examine some of the data that the research program has produced, as well as the operational definitions and assumptions that have gone into producing that data, in order to call into question the ultimate value of the episodic-like memory research program. I argue that there is a gap between the claims that the research program makes and the data it uses to support these claims, and that bridging this gap is essential if we want to claim that human episodic memory has a meaningful analog in animals. I end with some suggestions of how to potentially fix these problems.Comment: This texts offers interesting objections to a prominent study supporting that humans are not unique in having episodic-like memory. It is an interesting introduction to the animals cognition debate and what memory capacities animals possess. It would be suitable in a module on the nature of memory, or animal cognition.
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Maddy, Penelope. Naturalism in Mathematics
1997, Oxford: Oxford University Press.
Comment: Good further reading in advanced undergraduate or postgraduate courses on metaphysics, naturalism or philosophy of mathematics. Sections from the book - for instance, the chapters in Part II on indispensability considerations in scientific and mathematical practice - could be profitably read on their own. These sections may also be of interest in philosophy of science courses, as they provide a careful analysis of scientific practice (as it relates to what scientists take themselves to be ontologically committed to).