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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.
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:
Mangraviti, Franci. The Liberation Argument for Inconsistent Mathematics2023, The Australasian Journal of Logic, 20 (2): 278-317-
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Added by: Franci Mangraviti and Viviane FairbankAbstract:
Val Plumwood charged classical logic not only with the invalidity of some of its laws, but also with the support of systemic oppression through naturalization of the logical structure of dualisms. In this paper I show that the latter charge - unlike the former - can be carried over to classical mathematics, and I propose a new conception of inconsistent mathematics - queer incomaths - as a liberatory activity meant to undermine said naturalization.Comment:
available in this Blueprint
Marti, Luisa. Unarticulated constituents revisited2006, Linguistics and Philosophy 29 (2):135 - 166.-
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Added by: Chris Blake-Turner, Contributed by: Thomas Hodgson
Abstract: An important debate in the current literature is whether 'all truth-conditional effects of extra-linguistic context can be traced to [a variable at; LM] logical form' (Stanley, 'Context and Logical Form', Linguistics and Philosophy, 23 (2000) 391). That is, according to Stanley, the only truth-conditional effects that extra-linguistic context has are localizable in (potentially silent) variable-denoting pronouns or pronoun-like items, which are represented in the syntax/at logical form (pure indexicals like I or today are put aside in this discussion). According to Recanati ('Unarticulated Constituents', Linguistics and Philosophy, 25 (2002) 299), extra-linguistic context can have additional truth-conditional effects, in the form of optional pragmatic processes like 'free enrichment'. This paper shows that Recanati's position is not warranted, since there is an alternative line of analysis that obviates the need to assume free enrichment. In the alternative analysis, we need Stanley's variables, but we need to give them the freedom to be or not to be generated in the syntax/present at logical form, a kind of optionality that has nothing to do with the pragmatics-related optionality of free enrichment.Comment: Probably won't make sense without looking at Recanati and Perry's work
Martin, Ursula, Pease, Alison. Mathematical Practice, Crowdsourcing, and Social Machines2013, in Intelligent Computer Mathematics. CICM 2013. Lecture Notes in Computer Sciences, Carette, J. et al. (eds.). Springer.-
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Added by: Fenner Stanley TanswellAbstract:
The highest level of mathematics has traditionally been seen as a solitary endeavour, to produce a proof for review and acceptance by research peers. Mathematics is now at a remarkable inflexion point, with new technology radically extending the power and limits of individuals. Crowdsourcing pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers check proofs too long and complicated for humans to comprehend. The Study of Mathematical Practice is an emerging interdisciplinary field which draws on philosophy and social science to understand how mathematics is produced. Online mathematical activity provides a novel and rich source of data for empirical investigation of mathematical practice - for example the community question-answering system mathoverflow contains around 40,000 mathematical conversations, and polymath collaborations provide transcripts of the process of discovering proofs. Our preliminary investigations have demonstrated the importance of “soft” aspects such as analogy and creativity, alongside deduction and proof, in the production of mathematics, and have given us new ways to think about the roles of people and machines in creating new mathematical knowledge. We discuss further investigation of these resources and what it might reveal. Crowdsourced mathematical activity is an example of a “social machine”, a new paradigm, identified by Berners-Lee, for viewing a combination of people and computers as a single problem-solving entity, and the subject of major international research endeavours. We outline a future research agenda for mathematics social machines, a combination of people, computers, and mathematical archives to create and apply mathematics, with the potential to change the way people do mathematics, and to transform the reach, pace, and impact of mathematics research.Comment (from this Blueprint): In this paper, Martin and Pease look at how mathematics happens online, emphasising how this embodies the picture of mathematics given by Polya and Lakatos, two central figures in philosophy of mathematical practice. They look at multiple venues of online mathematics, including the polymath projects of collaborative problem-solving, and mathoverflow, which is a question-and-answer forum. By looking at the discussions that take place when people are doing maths online, they argue that you can get rich new kinds of data about the processes of mathematical discovery and understanding. They discuss how online mathematics can become a “social machine”, and how this can open up new ways of doing mathematics.
Massimi, Michaela. Why There are No Ready-Made Phenomena: What Philosophers of Science Should Learn From Kant2008, Royal Institute of Philosophy Supplement 63:1-35.-
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Added by: Sara Peppe
Abstract: The debate on scientific realism has raged among philosophers of science for decades. The scientific realist's claim that science aims to give us a literally true description of the way things are, has come under severe scrutiny and attack by Bas van Fraassen's constructive empiricism. All science aims at is to save the observable phenomena, according to van Fraassen. Scientific realists have faced since a main sceptical challenge: the burden is on them to prove that the entities postulated by our scientific theories are real and that science is still in the 'truth' business.Comment: This article provides a very clear explanation of the scientific realism/Van Fraassen's constructive empiricism debate highlighting scientific realists' main difficulty, i.e find a proof that entities posited by science are real. Presupposes some background on the above mentioned themes.
Massimi, Michela. Working in a new world: Kuhn, constructivism, and mind-dependence2015, Studies in History and Philosophy of Science 50: 83-89.-
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Added by: Jamie Collin
Abstract: In The Structure of Scientific Revolutions, Kuhn famously advanced the claim that scientists work in a different world after a scientific revolution. Kuhn's view has been at the center of a philosophical literature that has tried to make sense of his bold claim, by listing Kuhn's view in good company with other seemingly constructivist proposals. The purpose of this paper is to take some steps towards clarifying what sort of constructivism (if any) is in fact at stake in Kuhn's view. To this end, I distinguish between two main (albeit not exclusive) notions of mind-dependence: a semantic notion and an ontological one. I point out that Kuhn's view should be understood as subscribing to a form of semantic mind-dependence, and conclude that semantic mind-dependence does not land us into any worrisome ontological mind-dependence, pace any constructivist reading of Kuhn.Comment: Useful for undergraduate and postgraduate philosophy of science courses. Helps to clarify key concepts in Kuhn's work.
Massimi, Michela. Pauli’s Exclusion Principle: The origin and validation of a scientific principle2005, Cambridge University Press.-
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Added by: Laura Jimenez
Publisher's Note: There is hardly another principle in physics with wider scope of applicability and more far-reaching consequences than Pauli's exclusion principle. This book explores the principle's origin in the atomic spectroscopy of the early 1920s, its subsequent embedding into quantum mechanics, and later experimental validation with the development of quantum chromodynamics. The reconstruction of this crucial historic episode provides an excellent foil to reconsider Kuhn's view on incommensurability. The author defends the prospective rationality of the revolutionary transition from the old to the new quantum theory around 1925 by focusing on the way Pauli's principle emerged as a phenomenological rule 'deduced' from some anomalous phenomena and theoretical assumptions of the old quantum theory. The subsequent process of validation is historically reconstructed and analysed within the framework of 'dynamic Kantianism'Comment: In principle, I would recommend the book for postgraduates specialized on the topic; although in terms of difficulty, an undergraduate wouldn't have any problem to understand it. The book is also useful for anyone interested in the development of quantum physics during the 20th century.
Massimi, Michela. Philosophy and the sciences after Kant2009, Royal Institute of Philosophy Supplement 84(65): 275.-
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Added by: Laura Jimenez
Summary: In this article Massimi discusses the important role that history and philosophy of science plays or ought to play within philosophy. The aim of the paper is to offer a historical reconstruction and a possible diagnosis of why the long marriage between philosophy and the sciences was eventually wrong after Kant. Massimi examines Kant's view on philosophy and the sciences, from his early scientific writings to the development of critical philosophy and the pressing epistemological he felt the need to address in response to the sciences of his time.Comment: Really useful as an historical overview of the relation between history and philosophy of science and mainstream philosophy. It is also useful for introducing students to Kant's philosophy of science. It is an easy reading recommended for undergraduates.
Massimi, Michela, John Peacock. The origins of the universe: laws, testability and observability in cosmology2014, in M. Massimi (ed.), Philosophy and the Sciences for Everyone. Routledge.-
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Added by: Laura Jimenez
Summary: How did our universe form and evolve? Was there really a Big Bang, and what came before it? This chapter takes the reader through the history of contemporary cosmology and looks at how scientists arrived at the current understanding of our universe. It explores the history of astronomy, with the nebular hypothesis back in the eighteenth century, and in more recent times, Einstein's general relativity and the ensuing cosmological models. Finally, it explains the current Standard Model and early universe cosmology as well as the experimental evidence behind it.Comment: This chapter could be used as an introductory reading to philosophy of cosmology. It provides a general overview of the history of cosmology and of the philosophical problems (laws, uniqueness, observability) that stood in the way of cosmology becoming a science. It is recommendable for undergraduate courses.
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Magidor, Ofra. Arguments by Leibniz’s Law in Metaphysics
2011, Philosophy Compass 6 (3):180-195
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.