Search results for 'Mathematical literature' (try it on Scholar)

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  1. David Reed (1995). Figures of Thought: Mathematics and Mathematical Texts. Routledge.score: 84.0
    Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes (...)
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  2. National Reference Center for Bioethics Literature (2001). After BIOETHICSLINE: Online Searching of the Bioethics Literature. Kennedy Institute of Ethics Journal 11 (4):387-389.score: 80.0
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  3. National Reference Center for Bioethics Literature (2007). News From the National Reference Center for Bioethics Literature (NRCBL) and the National Information Resource on Ethics and Human Genetics (NIREHG). Kennedy Institute of Ethics Journal 17 (4).score: 80.0
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  4. Emilia Anvarovna Taissina (2008). Philosophical Truth in Mathematical Terms and Literature Analogies. Proceedings of the Xxii World Congress of Philosophy 53:273-278.score: 72.0
    The article is based upon the following starting position. In this post-modern time, it seems that no scholar in Europe supports what is called “Enlightenment Project” with its naïve objectivism and Correspondence Theory of Truth1, - though not being really hostile, just strongly skeptical about it. No old-fasioned “classical” academical texts; only His Majesty Discourse as chain of interpretations and reinterpretations. What was called objectivity “proved to be” intersubjectivity; what was called Object (in Latin and German and Russian tradition) now (...)
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  5. Adrian Heathcote (2014). On the Exhaustion of Mathematical Entities by Structures. Axiomathes 24 (2):167-180.score: 54.0
    There has been considerable discussion in the literature of one kind of identity problem that mathematical structuralism faces: the automorphism problem, in which the structure is unable to individuate the mathematical entities in its domain. Shapiro (Philos Math 16(3):285–309, 2008) has partly responded to these concerns. But I argue here that the theory faces an even more serious kind of identity problem, which the theory can’t overcome staying within its remit. I give two examples to make the (...)
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  6. Robert Schwartz (1995). Is Mathematical Competence Innate? Philosophy of Science 62 (2):227-40.score: 46.0
    Despite a vast philosophical literature on the epistemology of mathematics and much speculation about how, in principle, knowledge of this domain is possible, little attention has been paid to the psychological findings and theories concerning the acquisition, comprehension and use of mathematical knowledge. This contrasts sharply with recent philosophical work on language where comparable issues and problems arise. One topic that is the center of debate in the study of mathematical cognition is the question of innateness. This (...)
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  7. Elijah Chudnoff (forthcoming). Intuition in Mathematics. In Barbara Held & Lisa Osbeck (eds.), Rational Intuition. Cambridge University Press.score: 42.0
    The literature on mathematics suggests that intuition plays a role in it as a ground of belief. This article explores the nature of intuition as it occurs in mathematical thinking. Section 1 suggests that intuitions should be understood by analogy with perceptions. Section 2 explains what fleshing out such an analogy requires. Section 3 discusses Kantian ways of fleshing it out. Section 4 discusses Platonist ways of fleshing it out. Section 5 sketches a proposal for resolving the main (...)
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  8. A. Baker (2003). Does the Existence of Mathematical Objects Make a Difference? Australasian Journal of Philosophy 81 (2):246 – 264.score: 42.0
    In this paper I examine a strategy which aims to bypass the technicalities of the indispensability debate and to offer a direct route to nominalism. The starting-point for this alternative nominalist strategy is the claim that--according to the platonist picture--the existence of mathematical objects makes no difference to the concrete, physical world. My principal goal is to show that the 'Makes No Difference' (MND) Argument does not succeed in undermining platonism. The basic reason why not is that the makes-no-difference (...)
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  9. Aidan Lyon (2012). Mathematical Explanations Of Empirical Facts, And Mathematical Realism. Australasian Journal of Philosophy 90 (3):559 - 578.score: 42.0
    A main thread of the debate over mathematical realism has come down to whether mathematics does explanatory work of its own in some of our best scientific explanations of empirical facts. Realists argue that it does; anti-realists argue that it doesn't. Part of this debate depends on how mathematics might be able to do explanatory work in an explanation. Everyone agrees that it's not enough that there merely be some mathematics in the explanation. Anti-realists claim there is nothing mathematics (...)
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  10. A. Baker (2012). Science-Driven Mathematical Explanation. Mind 121 (482):243-267.score: 42.0
    Philosophers of mathematics have become increasingly interested in the explanatory role of mathematics in empirical science, in the context of new versions of the Quinean ‘Indispensability Argument’ which employ inference to the best explanation for the existence of abstract mathematical objects. However, little attention has been paid to analysing the nature of the explanatory relation involved in these mathematical explanations in science (MES). In this paper, I attack the only articulated account of MES in the literature (an (...)
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  11. Waldyr A. Rodrigues Jr, Quintino A. G. De Souza & Yuri Bozhkov (1995). The Mathematical Structure of Newtonian Spacetime: Classical Dynamics and Gravitation. [REVIEW] Foundations of Physics 25 (6):871-924.score: 42.0
    We give a precise and modern mathematical characterization of the Newtonian spacetime structure (ℕ). Our formulation clarifies the concepts of absolute space, Newton's relative spaces, and absolute time. The concept of reference frames (which are “timelike” vector fields on ℕ) plays a fundamental role in our approach, and the classification of all possible reference frames on ℕ is investigated in detail. We succeed in identifying a Lorentzian structure on ℕ and we study the classical electrodynamics of Maxwell and Lorentz (...)
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  12. Nabil I. Al-Najjar & Jonathan Weinstein (2009). The Ambiguity Aversion Literature: A Critical Assessment. Economics and Philosophy 25 (3):249-284.score: 42.0
    We provide a critical assessment of the ambiguity aversion literature, which we characterize in terms of the view that Ellsberg choices are rational responses to ambiguity, to be explained by relaxing Savage's Sure-Thing principle and adding an ambiguity-aversion postulate. First, admitting Ellsberg choices as rational leads to behaviour, such as sensitivity to irrelevant sunk cost, or aversion to information, which most economists would consider absurd or irrational. Second, we argue that the mathematical objects referred to as in the (...)
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  13. Kevin Davey (2003). Is Mathematical Rigor Necessary in Physics? British Journal for the Philosophy of Science 54 (3):439-463.score: 42.0
    Many arguments found in the physics literature involve concepts that are not well-defined by the usual standards of mathematics. I argue that physicists are entitled to employ such concepts without rigorously defining them so long as they restrict the sorts of mathematical arguments in which these concepts are involved. Restrictions of this sort allow the physicist to ignore calculations involving these concepts that might lead to contradictory results. I argue that such restrictions need not be ad hoc, but (...)
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  14. Johan van Benthem & David Pearce (1984). A Mathematical Characterization of Interpretation Between Theories. Studia Logica 43 (3):295-303.score: 42.0
    Of the various notions of reduction in the logical literature, relative interpretability in the sense of Tarskiet al. [6] appears to be the central one. In the present note, this syntactic notion is characterized semantically, through the existence of a suitable reduction functor on models. The latter mathematical condition itself suggests a natural generalization, whose syntactic equivalent turns out to be a notion of interpretability quite close to that of Ershov [1], Szczerba [5] and Gaifman [2].
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  15. Thomas L. Saaty (1959). Mathematical Methods of Operations Research. New York, Mcgraw-Hill.score: 42.0
    This text is an ideal introduction for students to the basic mathematics of operations research as well as a valuable source of references to early literature ...
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  16. Martti Kuokkanen (1993). Structuralist Constraints and Mathematical Social Theorizing. Erkenntnis 38 (3):351 - 370.score: 42.0
    Several case studies and theoretical reports indicate that the structuralist concept of a constraint has a central role in the reconstruction of physical theories. It is surprising that there is, in the literature, only little theoretical discussion on the relevance of constraints for the reconstruction of social scientific theories. Almost all structuralist reconstructions of social theorizing are vacuously constrained. Consequently, constraints are methodologically irrelevant.In this paper I try to show that there really exist constraint-type assumptions in mathematical modelling (...)
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  17. Johan Van Benthem & David Pearce (1984). A Mathematical Characterization of Interpretation Between Theories. Studia Logica 43 (3):295 - 303.score: 42.0
    Of the various notions of reduction in the logical literature, relative interpretability in the sense of Tarski et al. [6] appears to be the central one. In the present note, this syntactic notion is characterized semantically, through the existence of a suitable reduction functor on models. The latter mathematical condition itself suggests a natural generalization, whose syntactic equivalent turns out to be a notion of interpretability quite close to that of Ershov [1], Szczerba [5] and Gaifman [2].
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  18. Martin Davis (ed.) (1965/2004). The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems, and Computable Functions. Dover Publication.score: 36.0
    "A valuable collection both for original source material as well as historical formulations of current problems."-- The Review of Metaphysics "Much more than a mere collection of papers . . . a valuable addition to the literature."-- Mathematics of Computation An anthology of fundamental papers on undecidability and unsolvability by major figures in the field, this classic reference opens with Godel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers (...)
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  19. Eric W. Stein & Norita Ahmad (2009). Using the Analytical Hierarchy Process (Ahp) to Construct a Measure of the Magnitude of Consequences Component of Moral Intensity. Journal of Business Ethics 89 (3):391 - 407.score: 36.0
    The purpose of this work is to elaborate an empirically grounded mathematical model of the magnitude of consequences component of “moral intensity” (Jones, Academy of Management Review 16 (2),366, 1991) that can be used to evaluate different ethical situations. The model is built using the analytical hierarchy process (AHP) (Saaty, The Analytic Hierarchy Process , 1980) and empirical data from the legal profession. One contribution of our work is that it illustrates how AHP can be applied in the field (...)
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  20. Lorenzo Carlucci & John Case (2013). On the Necessity of U-Shaped Learning. Topics in Cognitive Science 5 (1):56-88.score: 36.0
    A U-shaped curve in a cognitive-developmental trajectory refers to a three-step process: good performance followed by bad performance followed by good performance once again. U-shaped curves have been observed in a wide variety of cognitive-developmental and learning contexts. U-shaped learning seems to contradict the idea that learning is a monotonic, cumulative process and thus constitutes a challenge for competing theories of cognitive development and learning. U-shaped behavior in language learning (in particular in learning English past tense) has become a central (...)
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  21. John P. Burgess & Gideon A. Rosen (1997). A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. Oxford University Press.score: 34.0
    Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured (...)
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  22. Carlo Ierna (2012). Brentano and Mathematics. In Ion Tănăsescu (ed.), Franz Brentano's Metaphysics and Psychology. Zeta.score: 34.0
    Franz Brentano is not usually associated with mathematics. Generally, only Brentano’s discussion of the continuum and his critique of the mathematical accounts of it is treated in the literature. It is this detailed critique which suggests that Brentano had more than a superficial familiarity with mathematics. Indeed, considering the authors and works quoted in his lectures, Brentano appears well-informed and quite interested in the mathematical research of his time. I specifically address his lectures here as there is (...)
     
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  23. Carlo Ierna (2011). Brentano and Mathematics. Revue Roumaine de Philosophie 55 (1):149-167.score: 34.0
    Franz Brentano is not usually associated with mathematics. Generally, only Brentano’s discussion of the continuum and his critique of the mathematical accounts of it is treated in the literature. It is this detailed critique which suggests that Brentano had more than a superficial familiarity with mathematics. Indeed, considering the authors and works quoted in his lectures, Brentano appears well-informed and quite interested in the mathematical research of his time. I specifically address his lectures here as there is (...)
     
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  24. Jamie Tappenden, Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice.score: 30.0
    Mathematical investigation, when done well, can confer understanding. This bare observation shouldn’t be controversial; where obstacles appear is rather in the effort to engage this observation with epistemology. The complexity of the issue of course precludes addressing it tout court in one paper, and I’ll just be laying some early foundations here. To this end I’ll narrow the field in two ways. First, I’ll address a specific account of explanation and understanding that applies naturally to mathematical reasoning: the (...)
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  25. Alberto Artosi (2010). Please Don't Use Science or Mathematics in Arguing for Human Rights or Natural Law. Ratio Juris 23 (3):311-332.score: 30.0
    In the vast literature on human rights and natural law one finds arguments that draw on science or mathematics to support claims to universality and objectivity. Here are two such arguments: 1) Human rights are as universal (i.e., valid independently of their specific historical and cultural Western origin) as the laws and theories of science; and 2) principles of natural law have the same objective (metahistorical) validity as mathematical principles. In what follows I will examine these arguments in (...)
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  26. Tony Lévy (2003). Arabic Algebra in Hebrew Texts (1). An Unpublished Work by Isaac Ben Salomon Al-a[Hudot]Dab (14th Century). Arabic Sciences and Philosophy 13 (2):269-301.score: 30.0
    It has long been considered that Arabic algebra scarcely left any traces in mathematical literature of Hebrew expression. Thanks to the unpublished sources we have discovered, and to an attentive examination of already-known texts, one can no longer subscribe to such a judgement. The evidence we examine in this first article sheds light on the circulation, in erudite Jewish circles, of Arabic algebraic knowledge in Spain, Italy, Provence, and Sicily, between the 12th and the 14th centuries. The Epistle (...)
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  27. Knut Radbruch (1995). Literatur als Medium einer Kulturgeschichte der Mathematik. NTM International Journal of History and Ethics of Natural Sciences, Technology and Medicine 3 (1):201-226.score: 30.0
    Throughout the ages writers have been concerned with contemporary problems. Their reflection became part of their literary works. By tracing and interpretating mathematical references in literature information can be obtained: on the attitude towards mathematics, on its prestige in society, its cultural recognition and its significance for education. This article analyses the implication of mathematics in some exemplary novels, essays and theoretical writings on literature of authors from the 17th to the 20th century.
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  28. Pieter A. M. Seuren, Venanizo Capretta & Herman Geuvers (2001). The Logic and Mathematics of Occasion Sentences. Linguistics and Philosophy 24 (5):531-595.score: 30.0
    The prime purpose of this paper is, first, to restore to discourse-bound occasion sentences their rightful central place in semantics and secondly, taking these as the basic propositional elements in the logical analysis of language, to contribute to the development of an adequate logic of occasion sentences and a mathematical (Boolean) foundation for such a logic, thus preparing the ground for more adequate semantic, logical and mathematical foundations of the study of natural language. Some of the insights elaborated (...)
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  29. Pieter A. M. Seuren, Venanzio Capretta & Herman Geuvers (2001). The Logic and Mathematics of Occasion Sentences. Linguistics and Philosophy 24 (5):531 - 595.score: 30.0
    The prime purpose of this paper is, first, to restore to discourse-bound occasion sentences their rightful central place in semantics and secondly, taking these as the basic propositional elements in the logical analysis of language, to contribute to the development of an adequate logic of occasion sentences and a mathematical (Boolean) foundation for such a logic, thus preparing the ground for more adequate semantic, logical and mathematical foundations of the study of natural language. Some of the insights elaborated (...)
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  30. David W. Wood (2012). "Mathesis of the Mind": A Study of Fichte's Wissenschaftslehre and Geometry. Rodopi.score: 28.0
    This is the first major study in any language on J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to “ordinary” Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an “ursprüngliche” or original geometry – that is to say, a synthetic and constructivistic conception grounded in (...)
     
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  31. Jeffrey Koperski (2005). Should We Care About Fine-Tuning? British Journal for the Philosophy of Science 56 (2):303-319.score: 24.0
    There is an ongoing debate over cosmological fine-tuning between those holding that design is the best explanation and those who favor a multiverse. A small group of critics has recently challenged both sides, charging that their probabilistic intuitions are unfounded. If the critics are correct, then a growing literature in both philosophy and physics lacks a mathematical foundation. In this paper, I show that just such a foundation exists. Cosmologists are now providing the kinds of measure-theoretic arguments needed (...)
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  32. Rasmus Grønfeldt Winther, Michael J. Wade & Christopher C. Dimond (2013). Pluralism in Evolutionary Controversies: Styles and Averaging Strategies in Hierarchical Selection Theories. Biology and Philosophy 28 (6):957-979.score: 24.0
    Two controversies exist regarding the appropriate characterization of hierarchical and adaptive evolution in natural populations. In biology, there is the Wright–Fisher controversy over the relative roles of random genetic drift, natural selection, population structure, and interdemic selection in adaptive evolution begun by Sewall Wright and Ronald Aylmer Fisher. There is also the Units of Selection debate, spanning both the biological and the philosophical literature and including the impassioned group-selection debate. Why do these two discourses exist separately, and interact relatively (...)
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  33. Michael Weisberg, Models for Modeling.score: 24.0
    Contemporary literature in philosophy of science has begun to emphasize the practice of modeling, which differs in important respects from other forms of representation and analysis central to standard philosophical accounts. This literature has stressed the constructed nature of models, their autonomy, and the utility of their high degrees of idealization. What this new literature about modeling lacks, however, is a comprehensive account of the models that figure in to the practice of modeling. This paper offers a (...)
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  34. Boudewijn de Bruin (2005). Game Theory in Philosophy. Topoi 24 (2):197-208.score: 24.0
    Game theory is the mathematical study of strategy and conflict. It has wide applications in economics, political science, sociology, and, to some extent, in philosophy. Where rational choice theory or decision theory is concerned with individual agents facing games against nature, game theory deals with games in which all players have preference orderings over the possible outcomes of the game. This paper gives an informal introduction to the theory and a survey of applications in diverse branches of philosophy. No (...)
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  35. Luca Incurvati (2012). How to Be a Minimalist About Sets. Philosophical Studies 159 (1):69-87.score: 24.0
    According to the iterative conception of set, sets can be arranged in a cumulative hierarchy divided into levels. But why should we think this to be the case? The standard answer in the philosophical literature is that sets are somehow constituted by their members. In the first part of the paper, I present a number of problems for this answer, paying special attention to the view that sets are metaphysically dependent upon their members. In the second part of the (...)
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  36. Stephen P. Stich & Shaun Nichols (1993). Folk Psychology: Simulation or Tacit Theory? Mind and Language 7 (1-2):35-71.score: 24.0
    A central goal of contemporary cognitive science is the explanation of cognitive abilities or capacities. [Cummins 1983] During the last three decades a wide range of cognitive capacities have been subjected to careful empirical scrutiny. The adult's ability to produce and comprehend natural language sentences and the child's capacity to acquire a natural language were among the first to be explored. [Chomsky 1965, Fodor, Bever & Garrett 1974, Pinker 1989] There is also a rich literature on the ability to (...)
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  37. Tarja Knuuttila (2011). Scientific Models in Philosophy of Science. International Studies in the Philosophy of Science 24 (4):437-440.score: 24.0
    Scientists have used models for hundreds of years as a means of describing phenomena and as a basis for further analogy. In Scientific Models in Philosophy of Science, Daniela Bailer-Jones assembles an original and comprehensive philosophical analysis of how models have been used and interpreted in both historical and contemporary contexts. Bailer-Jones delineates the many forms models can take (ranging from equations to animals; from physical objects to theoretical constructs), and how they are put to use. She examines early mechanical (...)
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  38. Edgar Andrade-Lotero & Catarina Dutilh Novaes (2012). Validity, the Squeezing Argument and Alternative Semantic Systems: The Case of Aristotelian Syllogistic. [REVIEW] Journal of Philosophical Logic 41 (2):387-418.score: 24.0
    We investigate the philosophical significance of the existence of different semantic systems with respect to which a given deductive system is sound and complete. Our case study will be Corcoran’s deductive system D for Aristotelian syllogistic and some of the different semantic systems for syllogistic that have been proposed in the literature. We shall prove that they are not equivalent, in spite of D being sound and complete with respect to each of them. Beyond the specific case of syllogistic, (...)
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  39. Stewart Shapiro (2008). Identity, Indiscernibility, and Ante Rem Structuralism: The Tale of I and –I. Philosophia Mathematica 16 (3):285-309.score: 24.0
    Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is (...)
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  40. John Corcoran (2006). Schemata: The Concept of Schema in the History of Logic. Bulletin of Symbolic Logic 12 (2):219-240.score: 24.0
    The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s (...)
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  41. Richard Pettigrew (2012). Indispensability Arguments and Instrumental Nominalism. Review of Symbolic Logic 5 (4):687-709.score: 24.0
    In the philosophy of mathematics, indispensability arguments aim to show that we are justified in believing that abstract mathematical objects exist. I wish to defend a particular objection to such arguments that has become increasingly popular recently. It is called instrumental nominalism. I consider the recent versions of this view and conclude that it has yet to be given an adequate formulation. I provide such a formulation and show that it can be used to answer the indispensability arguments. -/- (...)
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  42. Marton Gomori & Laszlo E. Szabo, Is the Relativity Principle Consistent with Electrodynamics? Towards a Logico-Empiricist Reconstruction of a Physical Theory.score: 24.0
    It is common in the literature on electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies for Maxwell's electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is (RP) a (...)
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  43. Steve Awodey (2009). From Sets to Types to Categories to Sets. .score: 24.0
    Three different styles of foundations of mathematics are now commonplace: set theory, type theory, and category theory. How do they relate, and how do they differ? What advantages and disadvantages does each one have over the others? We pursue these questions by considering interpretations of each system into the others and examining the preservation and loss of mathematical content thereby. In order to stay focused on the “big picture”, we merely sketch the overall form of each construction, referring to (...)
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  44. Scott Hotton & Jeff Yoshimi (2011). Extending Dynamical Systems Theory to Model Embodied Cognition. Cognitive Science 35 (3):444-479.score: 24.0
    We define a mathematical formalism based on the concept of an ‘‘open dynamical system” and show how it can be used to model embodied cognition. This formalism extends classical dynamical systems theory by distinguishing a ‘‘total system’’ (which models an agent in an environment) and an ‘‘agent system’’ (which models an agent by itself), and it includes tools for analyzing the collections of overlapping paths that occur in an embedded agent's state space. To illustrate the way this formalism can (...)
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  45. J. A. Marcum (2013). The Role of Emotions in Clinical Reasoning and Decision Making. Journal of Medicine and Philosophy 38 (5):501-519.score: 24.0
    What role, if any, should emotions play in clinical reasoning and decision making? Traditionally, emotions have been excluded from clinical reasoning and decision making, but with recent advances in cognitive neuropsychology they are now considered an important component of them. Today, cognition is thought to be a set of complex processes relying on multiple types of intelligences. The role of mathematical logic (hypothetico-deductive thinking) or verbal linguistic intelligence in cognition, for example, is well documented and accepted; however, the role (...)
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  46. Emma Tobin, Structural Realism & the Metaphysics of Natural Kinds.score: 24.0
    This paper examines whether structural realism entails an anti-realist thesis about natural kinds. Structural Realism is the view that the scientific realist can only support a realist claim about the structure of reality rather than its objects. Ladyman (1998) (2002) & French & Ladyman (2003) motivate the claim that ontic structural realism eliminates ‘objects’ as a distinct ontological category, thereby eliminating any possibility of a metaphysical account of individual objects. This is empirically motivated by fundamental physics. Those inclined towards realism (...)
     
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  47. W. A. Rodrigues Jr & M. Sharif (2001). Rotating Frames in SRT: The Sagnac Effect and Related Issues. [REVIEW] Foundations of Physics 31 (12):1767-1783.score: 24.0
    After recalling the rigorous mathematical representations in Relativity Theory (RT) of (i) observers, (ii) reference frames fields, (iii) their classifications, (iv) naturally adapted coordinate systems (nacs) to a given reference frame, (v) synchronization procedure and some other key concepts, we analyze three problems concerning experiments on rotating frames which even now (after almost a century after the birth of RT) are sources of misunderstandings and misconceptions. The first problem, which serves to illustrate the power of rigorous mathematical methods (...)
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  48. John Wiley, Is the Relativity Principle Consistent with Classical Electrodynamics?score: 24.0
    It is common in the literature on classical electrodynamics (ED) and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies to Maxwell’s electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is (...)
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  49. Jennifer McRobert, Concept Construction in Kant's Metaphysical Foundations of Natural Science.score: 24.0
    Kant's reasoning in his special metaphysics of nature is often opaque, and the character of his a priori foundation for Newtonian science is the subject of some controversy. Recent literature on the Metaphysical Foundations of Natural Science has fallen well short of consensus on the aims and reasoning in the work. Various of the doctrines and even the character of the reasoning in the Metaphysical Foundations have been taken to present insuperable obstacles to accepting Kant's claim to ground Newtonian (...)
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