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Added by: Emily Paul
Abstract: This article surveys several interrelated issues in the metaphysics of chance. First, what is the relationship between the probabilities associated with types of trials (for instance, the chance that a twenty?eight?year old develops diabetes before age thirty) and the probabilities associated with individual token trials (for instance, the chance that I develop diabetes before age thirty)? Second, which features of the the world fix the chances: are there objective chances at all, and if so, are there non?chancy facts on which they supervene? Third, can chance be reconciled with determinism, and if so, how?Buchak, Lara. Risk and Rationality2013, Oxford: Oxford University Press.-
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Added by: Jie Gao
Publisher's Note: Lara Buchak sets out a new account of rational decision-making in the face of risk. She argues that the orthodox view is too narrow, and suggests an alternative, more permissive theory: one that allows individuals to pay attention to the worst-case or best-case scenario, and vindicates the ordinary decision-maker.Comment: This book argues for an alternative account of ideal rationality as opposed to the orthodox view in terms of expected utility theory. Buchak manages to explain the technical details of her theory in such a non-technical way that any student of philosophy will be able to follow her discussion. The book moreover contains very interesting passages on what we might call "the philosophy of decision theory", such as metaphysical and epistemological issues concerning utilities and probabilities. This makes it a good teaching material for courses on decision theory and philosophy of action.
Capozzi, Mirella, Roncaglia, Gino. Logic and Philosophy of Logic from Humanism to Kant2009, In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press-
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Added by: Franci MangravitiAbstract:
This chapter begins with a discussion of humanist criticisms of scholastic logic. It then discusses the evolution of the scholastic tradition and the influence of Renaissance Aristotelianism, Descartes and his influence, the Port-Royal Logic, the emergence of a logic of cognitive faculties, logic and mathematics in the late 17th century, Gottfried Wilhelm Leibniz's role in the history of formal logic, and Kant's influence on logic.
Comment: Useful for a history of logic course. Familiarity with Aristotelian syllogistic is assumed.
Cardona, Carlos Alberto. Kepler: Analogies in the search for the law of refraction2016, Studies in History and Philosophy of Science Part A 59:22-35.-
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Added by: Clotilde Torregrossa, Contributed by: Juan R. Loaiza
Publisher's Note: This paper examines the methodology used by Kepler to discover a quantitative law of refraction. The aim is to argue that this methodology follows a heuristic method based on the following two Pythagorean principles: (1) sameness is made known by sameness, and (2) harmony arises from establishing a limit to what is unlimited. We will analyse some of the author's proposed analogies to find the aforementioned law and argue that the investigation's heuristic pursues such principles.Comment:
Carter, Jessica. Diagrams and Proofs in Analysis2010, International Studies in the Philosophy of Science, 24(1): 1-14.-
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Added by: Fenner Stanley TanswellAbstract:
This article discusses the role of diagrams in mathematical reasoning in the light of a case study in analysis. In the example presented certain combinatorial expressions were first found by using diagrams. In the published proofs the pictures were replaced by reasoning about permutation groups. This article argues that, even though the diagrams are not present in the published papers, they still play a role in the formulation of the proofs. It is shown that they play a role in concept formation as well as representations of proofs. In addition we note that 'visualization' is used in two different ways. In the first sense 'visualization' denotes our inner mental pictures, which enable us to see that a certain fact holds, whereas in the other sense 'visualization' denotes a diagram or representation of something.Comment (from this Blueprint): In this paper, Carter discusses a case study from free probability theory in which diagrams were used to inspire definitions and proof strategies. Interestingly, the diagrams were not present in the published results making them dispensable in one sense, but Carter argues that they are essential in the sense that their discovery relied on the visualisation supplied by the diagrams.
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.
Cavendish, Margaret. Observations upon experimental philosophy to which is added The description of a new blazing world / written by the thrice noble, illustrious, and excellent princesse, the Duchess of Newcastle.2001, Edited by E. O'Neill. Cambridge: Cambridge University Press (Cambridge Texts in the History of Philosophy).-
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Added by: Benjamin Goldberg
Publisher's Note: Margaret Cavendish's 1668 edition of Observations upon Experimental Philosophy, presented here in its first modern edition, holds a unique position in early modern philosophy. Cavendish rejects the Aristotelianism which was taught in the universities in the seventeenth century, and the picture of nature as a grand machine which was propounded by Hobbes, Descartes and members of the Royal Society of London, such as Boyle. She also rejects the views of nature which make reference to immaterial spirits. Instead she develops an original system of organicist materialism, and draws on the doctrines of ancient Stoicism to attack the tenets of seventeenth-century mechanical philosophy. Her treatise is a document of major importance in the history of women's contributions to philosophy and science.Comment: In this work, Cavendish argues against the experimental paradigm of the emerging Royal Society, contrasting their conception of passive, dead matter, with her own conception of vital materialism. This text will prove useful in conjunction with discussions of experiment and epistemology in early modern philosophy. Usefully paired with other philosophers like Boyle, Descartes, and Henry More, as well as scientists like William Harvey.
Cavendish, Margaret. Observations upon Experimental Philosophy (1666)2011, Cambridge University Press-
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Added by: Simon Fokt, Contributed by: Benjamin Goldberg
Publisher's Note: Margaret Cavendish's 1668 edition of Observations upon Experimental Philosophy, presented here in its first modern edition, holds a unique position in early modern philosophy. Cavendish rejects the Aristotelianism which was taught in the universities in the seventeenth century, and the picture of nature as a grand machine which was propounded by Hobbes, Descartes and members of the Royal Society of London, such as Boyle. She also rejects the views of nature which make reference to immaterial spirits. Instead she develops an original system of organicist materialism, and draws on the doctrines of ancient Stoicism to attack the tenets of seventeenth-century mechanical philosophy. Her treatise is a document of major importance in the history of women's contributions to philosophy and science.
Comment: Needed in courses on early modern matter theory and experimental philosophy, as it is a useful counter to the one sided enthusiasm of traditional subjects of early modern courses such as Boyle and Descartes.
Cheng, Eugenia. Mathematics, Morally2004, Cambridge University Society for the Philosophy of Mathematics.-
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Added by: Fenner Stanley TanswellAbstract:
A source of tension between Philosophers of Mathematics and Mathematicians is the fact that each group feels ignored by the other; daily mathematical practice seems barely affected by the questions the Philosophers are considering. In this talk I will describe an issue that does have an impact on mathematical practice, and a philosophical stance on mathematics that is detectable in the work of practising mathematicians. No doubt controversially, I will call this issue ‘morality’, but the term is not of my coining: there are mathematicians across the world who use the word ‘morally’ to great effect in private, and I propose that there should be a public theory of what they mean by this. The issue arises because proofs, despite being revered as the backbone of mathematical truth, often contribute very little to a mathematician’s understanding. ‘Moral’ considerations, however, contribute a great deal. I will first describe what these ‘moral’ considerations might be, and why mathematicians have appropriated the word ‘morality’ for this notion. However, not all mathematicians are concerned with such notions, and I will give a characterisation of ‘moralist’ mathematics and ‘moralist’ mathematicians, and discuss the development of ‘morality’ in individuals and in mathematics as a whole. Finally, I will propose a theory for standardising or universalising a system of mathematical morality, and discuss how this might help in the development of good mathematics.
Comment (from this Blueprint): Cheng is a mathematician working in Category Theory. In this article she complains about traditional philosophy of mathematics that it has no bearing on real mathematics. Instead, she proposes a system of “mathematical morality” about the normative intuitions mathematicians have about how it ought to be.
Chihara, Charles. A Structural Account of Mathematics2004, Oxford: Oxford University Press.-
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Added by: Jamie Collin
Publisher's Note: Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show how such systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalistic outlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings. A Structural Account of Mathematics will be required reading for anyone working in this field. generally put forward, which he maintains have led to serious misunderstandings.Comment: This book, or chapters from it, would provide useful further reading on nominalism in courses on metaphysics or the philosophy of mathematics. The book does a very good job of summarising and critiquing other positions in the debate. As such individual chapters on (e.g.) mathematical structuralism, Platonism and Field and Balaguer's respective developments of fictionalism could be helpful. The chapter on his own contructibility theory is also a good introduction to that position: shorter and less technical than his earlier (1991) book Constructibility and Mathematical Existence, but longer and more developed than his chapter on Nominalism in the Oxford Handbook of the Philosophy of Mathematics and Logic.
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Briggs, Ray. The Metaphysics of Chance
2010, Philosophy Compass 5(11): 938-952.
Comment: A nice introduction to the Metaphysics of Chance, suitable for an intermediate metaphysics course. Could also be a good bridge into a determinism or decision theory course element. Requires prior knowledge of some concepts e.g. token/type distinction and supervenience - but could also be a good way to learn what these are. Alternatively, a particular section of the article could be set (e.g. the final section on whether chance can be reconciled with determinism).