De Toffoli, Silvia. Groundwork for a Fallibilist Account of Mathematics
2021, The Philosophical Quarterly, 71(4).
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Added by: Fenner Stanley TanswellAbstract: According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible to think that proof sets the bar for justification too high. I then propose a fallibilist account of mathematical justification. I show that the main function of mathematical justification is to guarantee that the mathematical community can correct the errors that inevitably arise from our fallible practices.Comment (from this Blueprint): De Toffoli makes a strong case for the importance of mathematical practice in addressing important issues about mathematics. In this paper, she looks at proof and justification, with an emphasis on the fact that mathematicians are fallible. With this in mind, she argues that there are circumstances under which we can have mathematical justification, despite a possibility of being wrong. This paper touches on many cases and questions that will reappear later across the Blueprint, such as collaboration, testimony, computer proofs, and diagrams.De Toffoli, Silvia, Giardino, Valeria. An Inquiry into the Practice of Proving in Low-Dimensional Topology2015, in From Logic to Practice, Gabriele Lolli, Giorgio Venturi and Marco Panza (eds.). Springer International Publishing.
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Added by: Fenner Stanley TanswellAbstract: The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role. The background assumption is that the consideration of the actual practice of mathematics is relevant to address epistemological issues. It will be shown that in low-dimensional topology, justifications can be based on sequences of pictures. Three theses will be defended. First, the representations used in the practice are an integral part of the mathematical reasoning. As a matter of fact, they convey in a material form the relevant transitions and thus allow experts to draw inferential connections. Second, in low-dimensional topology experts exploit a particular type of manipulative imagination which is connected to intuition of two- and three-dimensional space and motor agency. This imagination allows recognizing the transformations which connect different pictures in an argument. Third, the epistemic—and inferential—actions performed are permissible only within a specific practice: this form of reasoning is subject-matter dependent. Local criteria of validity are established to assure the soundness of representationally heterogeneous arguments in low-dimensional topology.Comment (from this Blueprint): De Toffoli and Giardino look at proof practices in low-dimensional topology, and especially a proof by Rolfsen that relies on epistemic actions on a diagrammatic representation. They make the case that the many diagrams are used to trigger our manipulative imagination to make inferential moves which cannot be reduced to formal statements without loss of intuition.Deane-Drummond, Celia. Gaia as Science Made Myth: Implications for Environmental Ethics1996, Studies in Christian Ethics 9(2): 1-5.
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Added by: Simon FoktContent: Offers a critical discussion of the Gaia hypothesis in the context of human responsibility for climate change.Comment: Might be useful for environmental ethics, or as further reading on methodology of science and the dangers of confusing science and myth.Debra Jackson. An Examination of Racialized Assumptions in Antirape Discourse2003, Studies in Practical Philosophy: A Journal of Ethical and Political Philosophy 3.
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Added by: Clotilde Torregrossa, Contributed by: Corbin CovingtonAbstract: In this paper it is argued that contemporary conceptualisation of rape obscure the real but often unexamined connections between racism and sexual assault. Indeed, women of color are more likely to be victimised by sexual assault than white women. They are also less likely to report their assault, less likely to be believed and less likely to participate in the anti rape movement. This suggests that the racial factor should be involved in any discussion on sexual assault.Comment:Debus, Dorothea. Mental Time Travel: Remembering the Past, Imagining the Future, and the Particularity of Events2014, Review of Philosophy and Psychology 5 (3):333-350
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Added by: Andrea BlomqvistAbstract: The present paper offers a philosophical discussion of phenomena which in the empirical literature have recently been subsumed under the concept of 'mental time travel'. More precisely, the paper considers differences and similarities between two cases of 'mental time travel', recollective memories ('R-memories') of past events on the one hand, and sensory imaginations ('S-imaginations') of future events on the other. It develops and defends the claim that, because a subject who R-remembers a past event is experientially aware of a past particular event, while a subject who S-imagines a future event could not possibly be experientially aware of a future particular event, R-memories of past events and S-imaginations of future events are ultimately mental occurrences of two different kinds.Comment: This paper is concerned with both metaphysics and cognitive science. It could be used to raise questions about how we imagine future events involving ourselves and other people, and how this is similar or dissimilar to how we remember events. It could be used together with papers in cognitive neuroscience investigating the brain areas active in imagination and memory, most likely in a third or fourth year module.Dehejia, Harsha V., Makarand Paranjape (eds.). Saundarya: The Perception and Practice of Beauty in India.2003, Samvad India Foundation.
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Added by: Meilin ChinnPublisher's Note: A peculiar feature of the classical aesthetic thought in India has been the emphasis on the art experience as a special state of being, defined not so much by saundarya or beauty as by ananda or beatitude. Yet, saundarya has been a crucial ingredient in the aesthetic experience, prevalent not only in traditional art objects but also in articles of daily life. The discourse of saundarya, as distinct from its experience, was however conducted by or on behalf of the cultivated aesthete and was carried out within the ambit of classical thought. In contrast, modernity, understood not merely as modernisation but as a departure from traditional modes of thinking and behavior, has opened new vistas of human experience and creativity, some of them in total opposition to traditional aesthetic norms. But even as modernity opens new discourses and initiates fresh debates on saundarya, we are reminded that the experience of beauty is a primal need, not easily overcome or substituted by another Can a renewed quest for an understanding the perception and practice of saundarya in India ensure that it is not relegated to the status of an archaic relic or curio, but restored as one of the bindus or foci of our lives?This volume, perhaps the first of its kind, is a unique contribution to the history of Indian aesthetic analysis. Its eminent contributors, ranging from aestheticians, linguistics, philosophers, historians, literary critics, art collectors, curators, performing artists, painters, and musicians of the highest calibre, are drawn from across three continents and diverse countries. Profusely illustrated, this visual and textual treat on the craft and culture of beauty in India, promises to be a collector's item.Comment: Wide-ranging volume on the concept of beauty (saundarya) in both traditional and modern Indian aesthetics. Includes essays on the ontology, expression, politics, and embodiment of beauty. This text is appropriate for a focused course or module on Indian or Asian aesthetics in which the students have some introduction to Indian philosophy and art.
Related reading:
- K. Krishnamoorthy, Indian Theories of Beauty. Bangalore: Indian Institute of World Culture, 1981 (Transaction No. 53).
Related reading:
- K. Krishnamoorthy, Indian Theories of Beauty. Bangalore: Indian Institute of World Culture, 1981 (Transaction No. 53).
Deligiorgi, Katerina. Hegel’s Moral Philosophy2017, In Dean Moyar (ed.), Oxford Handbook to Hegel's Philosophy. Oxford University Press-
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Added by: Alison StoneAbstract: Hegel's criticism of morality, or Moralität, has had a decisive influence in the reception of his thought. By general acknowledgment, while his writings support a broadly neo-Aristotelian ethics of self-actualization, his views on moral philosophy are exhausted by his criticisms of Kant, whom he treats as paradigmatic exponent of the standpoint of morality. The aim of this chapter is to correct this received view and show that Hegel offers a positive conception of moral willing. The main argument is presented in two parts: (a) an interpretation of the 'Morality' section of the Philosophy of Right that shows Hegel defending a guise of the good version of willing; and (b) an examination of problems raised by this view of willing, some of which are anticipated by Hegel in in his treatment of the 'Idea of the Good' in the Logic, and of the interpretative options available to deal with these problems.Comment: A useful account of Hegel's position in moral philosophy focusing on his relation to Kant. Could be used on an ethics course when covering Hegel, either as supplementary to a reading from Hegel or as primary reading introducing a further reading by Hegel the following week.Deloria Jr., Vine. Why We Respect Our Elders Burial Grounds2004, In: American Indian Thought: Philosophical Essays. Anne Waters (ed.), Blackwell (Oxford).
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Added by: Sonja Dobroski and Quentin PharrAbstract: This book brings together a diverse group of American Indian thinkers to discuss traditional and contemporary philosophies and philosophical issues. The essays presented here address philosophical questions pertaining to knowledge, time, place, history, science, law, religion, nationhood, ethics, and art, as understood from a variety of Native American standpoints. Unique in its approach, this volume represents several different tribes and nations and amplifies the voice of contemporary American Indian culture struggling for respect and autonomy. Taken together, the essays collected here exemplify the way in which American Indian perspectives enrich contemporary philosophy.Comment: available in this BlueprintDemarest, Heather. Fundamental Properties and the Laws of Nature2015, Philosophy Compass 10(5) 224-344.
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Added by: Laura JimenezAbstract: Fundamental properties and the laws of nature go hand in hand: mass and gravitation, charge and electromagnetism, spin and quantum mechanics. So, it is unsurprising that one's account of fundamental properties affects one's view of the laws of nature and vice versa. In this essay,the author surveys a variety of recent attempts to provide a joint account of the fundamental properties and the laws of nature. Many of these accounts are new and unexplored. Some of them posit surprising entities, such as counterfacts. Other accounts posit surprising laws of nature, such as instantaneous laws that constrain the initial configuration of particles. These exciting developments challenge our assumptions about our basic ontology and provide fertile ground for further exploration.Comment: The article introduces in a simple way some fundamental concepts such as ‘law of nature’, ‘properties’, the notion of ‘categorical’ and ‘dispositional’ or the distinction between the governing and the systems approaches. It could serve as an introduction for those undergraduates that have never heard of these concepts before, or as a further reading for those in need of clarification. Some examples of modern fundamental physics are used as examples.Demarest, Heather. Fission May Kill You (But Not for the Reasons You Thought)2016, Philosophy and Phenomenological Research, 93, 3.
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Added by: Clotilde Torregrossa, Contributed by: Shen PanAbstract: If a person, A, branches into B and C, then it is widely held that B and C are not identical to one another. Many think that this is because B and C have contradictory properties at the same time. In this paper, I show why this explanation cannot be right. I argue that contradictory properties at times are not necessary for non-identity between descendants, and that contradictory properties at times are not sufficient for non-identity. I also argue that the standard explanation cannot be salvaged by a shift to personal time. Appeals to a lack of continuity, or to the absence of unity of consciousness likewise fail. Rather, B and C are non-identical simply because A branched into B and C. Why branching should be problematic for personal identity remains a deep puzzle though I offer some tentative suggestions.Comment: Useful for teaching time, time travel, and personal identity.Can’t find it?Contribute the texts you think should be here and we’ll add them soon!
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