Quantities

Edited by Zee R. Perry (Rutgers University - New Brunswick)
About this topic
Summary Two characteristics distinguish quantities from non-quantitative properties and relations. First, every quantity is associated with a class of determinate “magnitudes” or “values” of that quantity, each member of which is a property or relation itself. So when a particle possesses mass or charge, it always instantiates one particular magnitude of mass or charge -- like 2.5 kilograms or 7 Coulombs. Second, the magnitudes of a given quantity (alternatively, the particulars which instantiate those magnitudes) exhibit “quantitative structure”, which comprises things like: ordering structure, summation/concatenation structure, ratio structure, directional structure, etc. We often represent quantities using similarly-structured mathematical entities, like numbers, vectors, etc. Classic debates about quantities concern attempts to give a metaphysical account of quantitative structure without appealing to mathematical entities/structures. Other questions include: How do quantities play the roles they do in measurement, the laws of nature, etc? Are a quantity's magnitudes fundamentally absolute (like 2.5 kilograms) or comparative (like twice-as-massive-as)?
Key works Mundy 1987 is a seminal paper in this area. Field 1980 and Field 1984 are not directly concerned with the metaphysics of quantity proper, but represent an early and very influential attempt to account for quantitative structure without relying on mathematics. The exchange between Bigelow et al 1988 and Armstrong 1988 is an influential treatment of the absolute/comparative debate in the metaphysics of quantity.
Introductions Eddon 2013 provides a very useful opinionated introduction.
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  1. added 2020-05-02
    A Puzzle About Rates of Change.David Builes & Trevor Teitel - forthcoming - Philosophical Studies.
    Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle’s velocity by taking the time-derivative of its position, and we arrive at a particle’s acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of (...)
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  2. added 2020-04-21
    Newton on Active and Passive Quantities of Matter.Adwait A. Parker - forthcoming - Studies in History and Philosophy of Science Part A.
    Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess manuscript versions of (...)
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  3. added 2020-04-08
    Boyle, Spinoza and Glauber: On the Philosophical Redintegration of Saltpeter—a Reply to Antonio Clericuzio.Filip A. A. Buyse - 2020 - Foundations of Chemistry 22 (1):59-76.
    The so-called ‘redintegration experiment’ is traditionally at the center of the comments on the supposed Boyle/Spinoza controversy. A. Clericuzio influentially argued in his publications that, in De nitro, Boyle accounted for the ‘redintegration’ of saltpeter on the grounds of the chemical properties of corpuscles and “did not make any attempt to deduce them from mechanical principles”. By way of contrast, this paper argues that with his De nitro Boyle wanted to illustrate and promote his new corpuscular or mechanical philosophy, and (...)
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  4. added 2020-02-11
    The Metaphysics of Measurement.Chris Swoyer - 1987 - In John Forge (ed.), Measurement, Realism and Objectivity Essays on Measurement in the Social and Physical Sciences. Reidel. pp. 235–290.
    My thesis is that there are good reasons for a philosophical account of measurement to deal primarily with the properties or magnitudes of objects measured, rather than with the objects themselves. The account I present here embodies both a realism about measurement and a realism about the existence of the properties involved in measurement. It thus provides an alternative to most current treatments of measurement, many of which are operationalistic or conventionalistic, and nearly all of which are nominalistic.1 This enables (...)
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  5. added 2020-02-03
    Measures of Similarity.Karin Enflo - 2020 - Theoria 86 (1):73-99.
    This article analyses the relationship between the concept of single aspect similarity and proposed measures of similarity. More precisely, it compares eleven measures of similarity in terms of how well they satisfy a list of desiderata, chosen to capture common intuitions concerning the properties of similarity and the relations between similarity and dissimilarity. Three types of measures are discussed: similarity as commonality, similarity as a function of dissimilarity, and similarity as a joint function of commonality and difference. Relative to the (...)
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  6. added 2019-11-16
    The Problem of Fregean Equivalents.Joongol Kim - 2019 - Dialectica 73 (3):367-394.
    It would seem that some statements like ‘There are exactly four moons of Jupiter’ and ‘The number of moons of Jupiter is four’ have the same truth-conditions and yet differ in ontological commitment. One strategy to resolve this paradoxical phenomenon is to insist that the statements have not only the same truth-conditions but also the same ontological commitments; the other strategy is to reject the presumption that they have the same truth-conditions. This paper critically examines some popular versions of these (...)
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  7. added 2019-10-07
    Quantity and Number.James Franklin - 2014 - In Daniel D. Novotný & Lukáš Novák (eds.), Neo-Aristotelian Perspectives in Metaphysics. New York, USA: Routledge. pp. 221-244.
    Quantity is the first category that Aristotle lists after substance. It has extraordinary epistemological clarity: "2+2=4" is the model of a self-evident and universally known truth. Continuous quantities such as the ratio of circumference to diameter of a circle are as clearly known as discrete ones. The theory that mathematics was "the science of quantity" was once the leading philosophy of mathematics. The article looks at puzzles in the classification and epistemology of quantity.
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  8. added 2019-06-06
    Aristotelianism in the Philosophy of Mathematics.James Franklin - 2011 - Studia Neoaristotelica 8 (1):3-15.
    Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, is (...)
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  9. added 2019-03-20
    Kinds of Tropes Without Kinds.Markku Keinänen, Jani Hakkarainen & Antti Keskinen - 2018 - Dialectica 72 (4):571-596.
    In this article, we propose a new trope nominalist conception of determinate and determinable kinds of quantitative tropes. The conception is developed as follows. First, we formulate a new account of tropes falling under the same determinates and determinables in terms of internal relations of proportion and order. Our account is a considerable improvement on the current standard account (Campbell 1990; Maurin 2002; Simons 2003) because it does not rely on primitive internal relations of exact similarity or quantitative distance. The (...)
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  10. added 2018-11-10
    Heat in Renaissance Philosophy.Filip Buyse - 2020 - In Marco Sgarbi (ed.), Encyclopedia of Renaissance Philosophy. Berlin: Springer.
    The term ‘heat’ originates from the Old English word hǣtu, a word of Germanic origin; related to the Dutch ‘hitte’ and German ‘Hitze’. Today, we distinguish three different meanings of the word ‘heat’. First, ‘heat’ is understood in colloquial English as ‘hotness’. There are, in addition, two scientific meanings of ‘heat’. ‘Heat’ can have the meaning of the portion of energy that changes with a change of temperature. And finally, ‘heat’ can have the meaning of the transfer of thermal energy (...)
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  11. added 2018-11-08
    A Trope Theoretical Analysis of Relational Inherence.Markku Keinänen - 2018 - In Jaakko Kuorikoski & Teemu Toppinen (eds.), Action, Value and Metaphysics - Proceedings of the Philosophical Society of Finland Colloquium 2018, Acta Philosophica Fennica 94. Helsinki: Societas Philosophica Fennica. pp. 161-189.
    The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the (...)
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  12. added 2018-10-10
    The Metaphysics of Quantities and Their Dimensions.Bradford Skow - 2017 - Oxford Studies in Metaphysics 10.
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  13. added 2018-10-09
    Metaphysics of Quantity and the Limit of Phenomenal Concepts.Derek Lam - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy (3):1-20.
    Quantities like mass and temperature are properties that come in degrees. And those degrees (e.g. 5 kg) are properties that are called the magnitudes of the quantities. Some philosophers (e.g., Byrne 2003; Byrne & Hilbert 2003; Schroer 2010) talk about magnitudes of phenomenal qualities as if some of our phenomenal qualities are quantities. The goal of this essay is to explore the anti-physicalist implication of this apparently innocent way of conceptualizing phenomenal quantities. I will first argue for a metaphysical thesis (...)
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  14. added 2018-09-01
    Trooppiteoriat ja relaatiossa olemisen analyysi.Markku Keinänen - 2018 - Ajatus 75:121-150.
    Trope theories aim to eschew the primitive dichotomy between characterising (properties, relations) and characterized entities (objects). This article (in Finnish) presents a new trope theoretical analysis of relational inherence as the best way out of the impasse created by the alleged necessity to choose between an eliminativist and a primitivist ("relata-specific") view about relations in trope theory.
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  15. added 2018-06-11
    Macroscopic Metaphysics: Middle-Sized Objects and Longish Processes.Paul Needham - 2017 - Springer.
    This book is about matter. It involves our ordinary concept of matter in so far as this deals with enduring continuants that stand in contrast to the occurrents or processes in which they are involved, and concerns the macroscopic realm of middle-sized objects of the kind familiar to us on the surface of the earth and their participation in medium term processes. The emphasis will be on what science rather than philosophical intuition tells us about the world, and on chemistry (...)
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  16. added 2018-03-28
    Dispositional and Categorical Properties, and Russellian Monism.Eric Hiddleston - 2019 - Philosophical Studies 176 (1):65-92.
    This paper has two main aims. The first is to present a general approach for understanding “dispositional” and “categorical” properties; the second aim is to use this approach to criticize Russellian Monism. On the approach I suggest, what are usually thought of as “dispositional” and “categorical” properties are really just the extreme ends of a spectrum of options. The approach allows for a number of options between these extremes, and it is plausible, I suggest, that just about everything of scientific (...)
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  17. added 2017-12-07
    Quantity Tropes and Internal Relations.Markku Keinänen, Antti Keskinen & Jani Hakkarainen - 2019 - Erkenntnis 84 (3):519-534.
    In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, as determinate (...)
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  18. added 2017-10-31
    Is There a Humean Account of Quantities?Phillip Bricker - 2017 - Philosophical Issues 27 (1):26-51.
    Humeans have a problem with quantities. A core principle of any Humean account of modality is that fundamental entities can freely recombine. But determinate quantities, if fundamental, seem to violate this core principle: determinate quantities belonging to the same determinable necessarily exclude one another. Call this the problem of exclusion. Prominent Humeans have responded in various ways. Wittgenstein, when he resurfaced to philosophy, gave the problem of exclusion as a reason to abandon the logical atomism of the Tractatus with its (...)
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  19. added 2017-03-02
    Quantity of Matter or Intrinsic Property: Why Mass Cannot Be Both.Mario Hubert - 2016 - In Laura Felline, Antonio Ledda, F. Paoli & Emanuele Rossanese (eds.), New Developments in Logic and Philosophy of Science. London: College Publications. pp. 267–77.
    I analyze the meaning of mass in Newtonian mechanics. First, I explain the notion of primitive ontology, which was originally introduced in the philosophy of quantum mechanics. Then I examine the two common interpretations of mass: mass as a measure of the quantity of matter and mass as a dynamical property. I claim that the former is ill-defined, and the latter is only plausible with respect to a metaphysical interpretation of laws of nature. I explore the following options for the (...)
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  20. added 2017-03-02
    Some Consequences of Physics for the Comparative Metaphysics of Quantity.David John Baker - unknown
    According to comparativist theories of quantities, their intrinsic values are not fundamental. Instead, all the quantity facts are grounded in scale-independent relations like "twice as massive as" or "more massive than." I show that this sort of scale independence is best understood as a sort of metaphysical symmetry--a principle about which transformations of the non-fundamental ontology leave the fundamental ontology unchanged. Determinism--a core scientific concept easily formulated in absolutist terms--is more difficult for the comparativist to define. After settling on the (...)
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  21. added 2017-02-13
    Quantitative Relations Between Infinite Sets.Robert Bunn - 1977 - Annals of Science 34 (2):177-191.
    Given the old conception of the relation greater than, the proposition that the whole is greater than the part is an immediate consequence. But being greater in this sense is not incompatible with being equal in the sense of one-one correspondence. Some who failed to recognize this formulated invalid arguments against the possibility of infinite quantities. Others who did realize that the relations of equal and greater when so defined are compatible, concluded that such relations are not appropriately taken as (...)
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  22. added 2016-12-08
    Armstrong on Quantities and Resemblance.Maya Eddon - 2007 - Philosophical Studies 136 (3):385-404.
    Resemblances obtain not only between objects but between properties. Resemblances of the latter sort - in particular resemblances between quantitative properties - prove to be the downfall of a well-known theory of universals, namely the one presented by David Armstrong. This paper examines Armstrong's efforts to account for such resemblances within the framework of his theory and also explores several extensions of that theory. All of them fail.
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  23. added 2016-12-08
    Change Without Change, and How to Observe It in General Relativity.Richard Healey - 2004 - Synthese 141 (3):381 - 415.
    All change involves temporal variation of properties. There is change in the physical world only if genuine physical magnitudes take on different values at different times. I defend the possibility of change in a general relativistic world against two skeptical arguments recently presented by John Earman. Each argument imposes severe restrictions on what may count as a genuine physical magnitude in general relativity. These restrictions seem justified only as long as one ignores the fact that genuine change in a relativistic (...)
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  24. added 2016-10-19
    Magnitudes: Metaphysics, Explanation, and Perception.Christopher Peacocke - 2015 - In Annalisa Coliva, Volker Munz & Danièle Moyal-Sharrock (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium. De Gruyter. pp. 357-388.
    I am going to argue for a robust realism about magnitudes, as irreducible elements in our ontology. This realistic attitude, I will argue, gives a better metaphysics than the alternatives. It suggests some new options in the philosophy of science. It also provides the materials for a better account of the mind’s relation to the world, in particular its perceptual relations.
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  25. added 2016-01-27
    What Are Quantities?Joongol Kim - 2016 - Australasian Journal of Philosophy 94 (4):792-807.
    ABSTRACTThis paper presents a view of quantities as ‘adverbial’ entities of a certain kind—more specifically, determinate ways, or modes, of having length, mass, speed, and the like. In doing so, it will be argued that quantities as such should be distinguished from quantitative properties or relations, and are not universals but are particulars, although they are not objects, either. A main advantage of the adverbial view over its rivals will be found in its superior explanatory power with respect to both (...)
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  26. added 2015-10-13
    Uninstantiated Properties and Semi-Platonist Aristotelianism.James Franklin - 2015 - Review of Metaphysics 69 (1):25-45.
    Once the reality of properties is admitted, there are two fundamentally different realist theories of properties. Platonist or transcendent realism holds that properties are abstract objects in the classical sense, of being nonmental, nonspatial, and causally inefficacious. By contrast, Aristotelian or moderate realism takes properties to be literally instantiated in things. An apple’s color and shape are as real and physical as the apple itself. The most direct reason for taking an Aristotelian realist view of properties is that we perceive (...)
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  27. added 2015-09-18
    Intensive and Extensive Quantities.Zee Perry - manuscript
    Quantities are properties and relations which exhibit "quantitative structure". For physical quantities, this structure can impact the non-quantitative world in different ways. In this paper I introduce and motivate a novel distinction between quantities based on the way their quantitative structure constrains the possible mereological structure of their instances. Specifically, I identify a category of “properly extensive” quantities, which are a proper sub-class of the additive or extensive quantities. I present and motivate this distinction using two case studies of successful (...)
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  28. added 2015-08-26
    Meinong on Magnitudes and Measurement.Ghislain Guigon - 2005 - Meinong Studies 1:255-296.
    This paper introduces the reader to Meinong's work on the metaphysics of magnitudes and measurement in his Über die Bedeutung des Weber'schen Gesetzes. According to Russell himself, who wrote a review of Meinong's work on Weber's law for Mind, Meinong's theory of magnitudes deeply influenced Russell's theory of quantities in the Principles of Mathematics. The first and longest part of the paper discusses Meinong's analysis of magnitudes. According to Meinong, we must distinguish between divisible and indivisible magnitudes. He argues that (...)
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  29. added 2015-08-25
    Numbers, Ratios, and Structural Relations.Joel Michell - 1993 - Australasian Journal of Philosophy 71 (3):325 – 332.
  30. added 2015-07-31
    Properly Extensive Quantities.Zee R. Perry - 2015 - Philosophy of Science 82 (5):833-844.
    This article introduces and motivates the notion of a “properly extensive” quantity by means of a puzzle about the reliability of certain canonical length measurements. An account of these measurements’ success, I argue, requires a modally robust connection between quantitative structure and mereology that is not mediated by the dynamics and is stronger than the constraints imposed by “mere additivity.” I outline what it means to say that length is not just extensive but properly so and then briefly sketch an (...)
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  31. added 2015-06-27
    Heavy Duty Platonism.Robert Knowles - 2015 - Erkenntnis 80 (6):1255-1270.
    Heavy duty platonism is of great dialectical importance in the philosophy of mathematics. It is the view that physical magnitudes, such as mass and temperature, are cases of physical objects being related to numbers. Many theorists have assumed HDP’s falsity in order to reach their own conclusions, but they are only justified in doing so if there are good arguments against HDP. In this paper, I present all five arguments against HDP alluded to in the literature and show that they (...)
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  32. added 2015-06-27
    Maudlin on the Triangle Inequality.Marco Dees - 2015 - Thought: A Journal of Philosophy 4 (2):124-130.
    Tim Maudlin argues that we should take facts about distance to be analyzed in terms of facts about path lengths. His reason is that if we take distances to be fundamental, we must stipulate that constraints like the triangle inequality hold, but we get these constraints for free if we take path lengths to be prior. I argue that Maudlin is mistaken. Even if we take path lengths as primitive, the triangle inequality follows only if we stipulate that the fundamental (...)
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  33. added 2015-06-27
    Symmetry and the Metaphysics of Physics.David John Baker - 2010 - Philosophy Compass 5 (12):1157-1166.
    The widely held picture of dynamical symmetry as surplus structure in a physical theory has many metaphysical applications. Here, I focus on its relevance to the question of which quantities in a theory represent fundamental natural properties.
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  34. added 2015-06-27
    Quantity and Quality: Naturalness in Metaphysics.M. Eddon - 2009 - Dissertation, Rutgers University
    Ever since David Lewis argued for the indispensibility of natural properties, they have become a staple of mainstream metaphysics. This dissertation is a critical examination of natural properties. What roles can natural properties play in metaphysics, and what structure do natural properties have? In the first half of the dissertation, I argue that natural properties cannot do all the work they are advertised to do. In the second half of the dissertation, I look at questions relating to the structure of (...)
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  35. added 2015-06-27
    Mathematical Vectors and Physical Vectors.Ingvar Johansson - 2009 - Dialectica 63 (4):433-447.
    From a metaphysical point of view, it is important clearly to see the ontological difference between what is studied in mathematics and mathematical physics, respectively. In this respect, the paper is concerned with the vectors of classical physics. Vectors have both a scalar magnitude and a direction, and it is argued that neither conventionalism nor wholesale anti‐conventionalism holds true of either of these components of classical physical vectors. A quantification of a physical dimension requires the discovery of ontological order relations (...)
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  36. added 2015-02-19
    A Trope Nominalist Theory of Natural Kinds.Markku Keinänen - 2015 - In Ghislain Guigon & Gonzalo Rodriguez-Pereyra (eds.), Nominalism about Properties. Routledge. pp. 156-174.
    In this chapter, I present the first systematic trope nominalist approach to natural kinds of objects. It does not identify natural kinds with the structures of mind-independent entities (objects, universals or tropes). Rather, natural kinds are abstractions from natural kind terms and objects belong to a natural kind if they satisfy their mind-independent application conditions. By relying on the trope theory SNT (Keinänen 2011), I show that the trope parts of a simple object determine the kind to which it belongs. (...)
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  37. added 2015-01-05
    Similarity and Dimensional Analysis (Preprint - Entry in Handbook of Philosophy of Science, Elsevier).S. G. Sterrett - 2009 - In Anthonie W. M. Meijers (ed.), Handbook of the Philosophy of Science.
    The topic of this Handbook entry is the relationship between similarity and dimensional analysis, and some of the philosophical issues involved in understanding and making use of that relationship. Discusses basics of the relationship between units, dimensions, and quantities. It explains the significance of dimensionless parameters, and explains that similarity of a physical systems is established by showing equality of a certain set of dimensionless parameters that characterizes the system behavior. Similarity is always relative -- to some system behavior. Other (...)
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  38. added 2014-10-18
    What Do Powers Do When They Are Not Manifested?Stathis Psillos - 2006 - Philosophy and Phenomenological Research 72 (1):137-156.
    In the present paper, I offer a conceptual argument against the view that all properties are pure powers. I claim that thinking of all properties as pure powers leads to a regress. The regress, I argue, can be solved only if non-powers are admitted. The kernel of my thesis is that any attempt to answer the title question in an informative way will undermine a pure-power view of properties. In particular, I focus my critique on recent arguments in favour of (...)
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  39. added 2014-08-06
    Intrinsic Explanations and Numerical Representations.M. Eddon - 2014 - In Francescotti (ed.), Companion to Intrinsic Properties. De Gruyter. pp. 271-290.
    In Science Without Numbers (1980), Hartry Field defends a theory of quantity that, he claims, is able to provide both i) an intrinsic explanation of the structure of space, spacetime, and other quantitative properties, and ii) an intrinsic explanation of why certain numerical representations of quantities (distances, lengths, mass, temperature, etc.) are appropriate or acceptable while others are not. But several philosophers have argued otherwise. In this paper I focus on arguments from Ellis and Milne to the effect that one (...)
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  40. added 2014-08-06
    Fundamental Properties of Fundamental Properties.M. Eddon - 2013 - In Karen Bennett Dean Zimmerman (ed.), Oxford Studies in Metaphysics, Volume 8. pp. 78-104.
    Since the publication of David Lewis's ''New Work for a Theory of Universals,'' the distinction between properties that are fundamental – or perfectly natural – and those that are not has become a staple of mainstream metaphysics. Plausible candidates for perfect naturalness include the quantitative properties posited by fundamental physics. This paper argues for two claims: (1) the most satisfying account of quantitative properties employs higher-order relations, and (2) these relations must be perfectly natural, for otherwise the perfectly natural properties (...)
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  41. added 2014-06-01
    An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Stucture.James Franklin - 2014 - Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...)
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  42. added 2014-04-24
    Functions and Shapes in the Light of the International System of Units.Ingvar Johansson - 2008 - Metaphysica 9 (1):93-117.
    Famously, Galilei made the ontological claim that the book of nature is written in the language of mathematics. Probably, if only implicitly, most contemporary natural scientists share his view. This paper, in contradistinction, argues that nature is only partly written in the language of mathematics; partly, it is written in the language of functions and partly in a very simple purely qualitative language, too. During the argumentation, three more specific but in themselves interesting theses are put forward: first (in Section (...)
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  43. added 2014-04-24
    Quality, Quantity and the Typology of Measurement.I. Hanzel - 2005 - Filozofia 60 (4):217-229.
    The paper is a continuation of three previous papers , which have discussed the issues of measure and measurement, as well as the views of K. Berka and B. Ellis on this issue. This paper gives a restatement of those views from the point of view of the unity of qualitative and quantitative determinations of measure. Further it deals with Ellis’ conventionalism in measurement theory. Finally it provides a differentiated typology of measurement.
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  44. added 2014-04-24
    Laws of Nature as Relations Between Quantities?John Forge - 1999 - In Howard Sankey (ed.), Causation and Laws of Nature. Kluwer Academic Publishers. pp. 111--124.
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  45. added 2014-04-02
    Nomological Resemblance.Robin Stenwall - 2012 - Metaphysica 14 (1):31-46.
    Laws of nature concern the natural properties of things. Newton’s law of gravity states that the gravitational force between objects is proportional to the product of their masses and inversely proportional to the square of their distance; Coulomb’s law states a similar functional dependency between charged particles. Each of these properties confers a power to act as specified by the function of the laws. Consequently, properties of the same quantity confer resembling powers. Any theory that takes powers seriously must account (...)
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  46. added 2014-04-01
    Classical Physical Abstraction.Ernest W. Adams - 1993 - Erkenntnis 38 (2):145 - 167.
    An informal theory is set forth of relations between abstract entities, includingcolors, physical quantities, times, andplaces in space, and the concrete things thathave them, or areat orin them, based on the assumption that there are close analogies between these relations and relations between abstractsets and the concrete things that aremembers of them. It is suggested that even standard scientific usage of these abstractions presupposes principles that are analogous to postulates of abstraction, identity, and other fundamental principles of set theory. Also (...)
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  47. added 2014-03-27
    Bertrand Russell's 1897 Critique of the Traditional Theory of Measurement.Joel Michell - 1997 - Synthese 110 (2):257-276.
    The transition from the traditional to the representational theory of measurement around the turn of the century was accompanied by little sustained criticism of the former. The most forceful critique was Bertrand Russell''s 1897 Mind paper, On the relations of number and quantity. The traditional theory has it that real numbers unfold from the concept of continuous quantity. Russell''s critique identified two serious problems for this theory: (1) can magnitudes of a continuous quantity be defined without infinite regress; and (2) (...)
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  48. added 2014-03-27
    Strict Coherence, Sigma Coherence and the Metaphysics of Quantity.Brian Skyrms - 1995 - Philosophical Studies 77 (1):39-55.
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  49. added 2014-03-27
    Numbers as Quantitative Relations and the Traditional Theory of Measurement.Joel Michell - 1994 - British Journal for the Philosophy of Science 45 (2):389-406.
    The thesis that numbers are ratios of quantities has recently been advanced by a number of philosophers. While adequate as a definition of the natural numbers, it is not clear that this view suffices for our understanding of the reals. These require continuous quantity and relative to any such quantity an infinite number of additive relations exist. Hence, for any two magnitudes of a continuous quantity there exists no unique ratio. This problem is overcome by defining ratios, and hence real (...)
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  50. added 2014-03-26
    From Zeno to Arbitrage: Essays on Quantity, Coherence, and Induction.Brian Skyrms - 2012 - Oxford University Press.
    Pt. I. Zeno and the metaphysics of quantity. Zeno's paradox of measure -- Tractarian nominalism -- Logical atoms and combinatorial possibility -- Strict coherence, sigma coherence, and the metaphysics of quantity -- pt. II. Coherent degrees of belief. Higher-order degrees of belief -- A mistake in dynamic coherence arguments? -- Dynamic coherence and probability kinematics -- Updating, supposing, and MAXENT -- The structure of radical probabilism -- Diachronic coherence and radical probabilism -- pt. III. Induction. Carnapian inductive logic for Markov (...)
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