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An Aristotelian notion of size

Vieri Benci, Mauro Di Nasso, Marco Forti
2006 Annals of Pure and Applied Logic  
(Sizes are added by means of disjoint unions and multiplied by means of disjoint unions of equinumerous collections.)  ...  The naïve idea of "size" for collections seems to obey both Aristotle's Principle: "the whole is greater than its parts" and Cantor's Principle: "1-to-1 correspondences preserve size".  ...  Measuring sets of ordinals In [1] , an "Aristotelian" notion of size, called "numerosity", has been presented for countable "labelled" sets, starting from the following observation.  ... 
doi:10.1016/j.apal.2006.01.008 fatcat:zllf2nclrrae3gwmsg6z3dx3z4

Force, Motion, and Leibniz's Argument from Successiveness

Peter Myrdal
2021 Archiv für Geschichte der Philosophie  
Against such a reading, this essay contends that Leibniz's argument is instead best understood against the background of an Aristotelian view of the priority of real being over time.  ...  Appealing to considerations about the successiveness of motion, Leibniz attempts to show that the reality of motion requires force.  ...  For example, an oak's augmentative power is aimed at its full size, and when that size is reached the process of growth has come to an end; the process consists not in the full actuality of the power,  ... 
doi:10.1515/agph-2018-0088 fatcat:jktgbmrsffccrb7cbhu52wwyxa

Fall and Rise of Aristotelian Metaphysics in the Philosophy of Science

John Lamont
2007 Science & Education  
The paper examines the fortunes of Aristotelian metaphysics in science and the philosophy of science.  ...  led to the rebirth of broadly Aristotelian accounts of the metaphysics underlying science.  ...  notion of substantial form should be revived to give an account of these forces.  ... 
doi:10.1007/s11191-007-9118-2 fatcat:x22yemhej5hqfgje26fu7mxroq

Fall and Rise of Aristotelian Metaphysics in the Philosophy of Science [chapter]

John Lamont
2007 Science, Worldviews and Education  
The paper examines the fortunes of Aristotelian metaphysics in science and the philosophy of science.  ...  led to the rebirth of broadly Aristotelian accounts of the metaphysics underlying science.  ...  notion of substantial form should be revived to give an account of these forces.  ... 
doi:10.1007/978-90-481-2779-5_11 fatcat:lzdsev75ffa75eswb7sugjvwm4

Page 301 of Psychological Abstracts Vol. 13, Issue 6 [page]

1939 Psychological Abstracts  
The results are discussed with respect to Gestalt notions. —C. N. Cofer (Brown). 2995. Reiser, O. L. Aristotelian, Galilean and non-Aristotelian modes of thinking. Psychol. Rev., 1939, 46, 151-162.  ...  This coefficient is compared with an r of — .234 for 1271 cases who were retested individually with the Binet.  ... 

Page 172 of The American Presbyterian Review Vol. 6, Issue 22 [page]

1868 The American Presbyterian Review  
172 RECENT IMPROVEMENTS [April, a part, more technically of an attribute of an object. The account given by Hamilton in his Metaphysics (Lect.  ...  In his analysis he has, like all the logicians of the school of Kant, no other notion than the Concept or the General Notion.  ... 

V—The Linguistic Approach to Ontology

Lee Walters
2021 Proceedings of the Aristotelian Society  
This view is then committed to giving an account of what predicates do in sentences when they do not ascribe properties. I sketch an approach to the varieties of predication.  ...  because of his size' appears not to make sense.  ...  See also Crane (2013, §2.6 ). 8 Hofweber relies on an intuitive notion of syntactically singular termhood.  ... 
doi:10.1093/arisoc/aoab004 fatcat:kf5likv6kvhs3gv3qjy23kafl4

Logical and Geometrical Distance in Polyhedral Aristotelian Diagrams in Knowledge Representation

Lorenz Demey, Hans Smessaert
2017 Symmetry  
After an in-depth investigation of the geometrical properties and interrelationships of these polyhedral diagrams, we analyze the correlation (or lack thereof) between logical (Hamming) and geometrical  ...  Aristotelian diagrams visualize the logical relations among a finite set of objects.  ...  Acknowledgments: We would like to thank Margaux Smets and two anonymous reviewers for their feedback on an earlier version of this paper.  ... 
doi:10.3390/sym9100204 fatcat:lnaf5qlazre65myshtirbtuaju

Don't cry to be the first!Symmetric fair division exist [article]

Guillaume Chèze
2019 arXiv   pre-print
Furthermore, our study has led us to introduce a new notion: aristotelian fair division. This notion is an interpretation of Aristotle's principle: give equal shares to equal people.  ...  More precisely, we show how to get a symmetric and envy-free fair division algorithm from an envy-free division algorithm.  ...  Acknowledgement: The author thanks Erel Segal-Halevi for pointing to him an imprecision at the end of the algorithm SymProp in a previous version of this  ... 
arXiv:1804.03833v2 fatcat:mnwuuwbprvhdzcqnopqmhe2yqa

II—L. A. Paul: Categorical Priority and Categorical Collapse

L. A. Paul
2013 Supplementary volume - Aristotelian Society  
Assumptions about the priority of substance play a role in an argument for monism, are embedded in certain pluralist metaphysical treatments of laws of nature, and are central to discussions of substantivalism  ...  I explore some of the ways that assumptions about the nature of substance shape metaphysical debates about the structure of Reality.  ...  Williams, discussing the Aristotelian distinction between matter and form, one of the bases for the contemporary distinction between substance and property, describes an Aristotelian notion of prime matter  ... 
doi:10.1111/j.1467-8349.2013.00221.x fatcat:7b3qfnujabapxinkezj2xhb76e

Logical Geometries and Information in the Square of Oppositions

Hans Smessaert, Lorenz Demey
2014 Journal of Logic, Language and Information  
The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered.  ...  To do this, we distinguish between concrete Aristotelian diagrams (such as the square) and, on a more abstract level, the Aristotelian geometry (a set of logical relations).  ...  Acknowledgements Earlier versions of this paper were presented at Trends in Logic XI (Bochum, June 3-5 2012) and CLMPS 14 (Nancy, July 19-26 2011); we would like to thank the audiences of these talks for  ... 
doi:10.1007/s10849-014-9207-y fatcat:d773hwpfp5hrfdv2cpw46mduqa

Between Athens and Jerusalem: King Lear and the Morality of Tragedy

Hunter Brooks Dukes
2013 Five  
Frye's Aristotelian Inheritance Northrop Frye builds his theory of modes upon an Aristotelian framework, inheriting the nuanced binaries of the Poetics.  ...  " in the Aristotelian sense; that is, it is not an appeal to a master morality.  ... 
doi:10.5642/five.20130201.04 fatcat:tte5vntdufht7pnc5mvta2wvda

Page 31 of The Classical Quarterly Vol. 5, Issue 1 [page]

1911 The Classical Quarterly  
If this is a fair specimen of contemporary notions, Sophocles may be supposed to have had no clear idea of the difference between air-vessels and blood-vessels, while still knowing that the bronchial passages  ...  Aristotle five or six times so uses it, but never of a blood-passage, not even? in that obscure description of the heart (Hist. An. III. 111.)..  ... 

Page 143 of American Mathematical Society. Bulletin of the American Mathematical Society Vol. 18, Issue [page]

1911 American Mathematical Society. Bulletin of the American Mathematical Society  
An excellent chapter on the history of physics and its prob- lems, from the beginning of the seventeenth century when it was a branch of the Aristotelian philosophy, to the present with its wondrous development  ...  the size of the m is — in some cases — carried down to the molecule. Most texts do not go to the limit.  ... 

Vagueness: where degree-based approaches are useful, and where we can do without

Thomas Vetterlein
2012 Soft Computing - A Fusion of Foundations, Methodologies and Applications  
This coarse distinction contrasts with any finer one, in particular with the finest possible one, on which we specify sizes, beyond all limits of precision, by real numbers.  ...  In this case, it is necessary to combine reasoning on two levels of granularity in a single formalism. Following established practice, we choose an approach based on numerical degrees.  ...  s precise size is larger than the medium size of the people under consideration. In fact, the concept of a precise size does not correspond to any observation but is a mathematical notion.  ... 
doi:10.1007/s00500-012-0834-4 fatcat:u4dz6pl3mzdc5g2vo7xonkssne
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