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1Problémy abstrakce a matematiky u Tomáše AkvinskéhoStudia Neoaristotelica 20 (3): 1-29. 2023.Aquinas employs formal abstraction to secure the possibility of mathematics conceived as a theoretical Aristotelian science. Mathematics is a science that investigates real quantity and it grasps its necessary, universal, and changeless properties by means of formal abstraction. In accord with it the paper is divided into two parts. In the first part Aquinas’s conception of (formal) abstraction is explicated against the background of the Aristotelian theory of science and mathematics. In the sec…Read more
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Boží předurčení a svoboda rozhodováníFilosoficky Casopis 52 559-568. 2004.[Physical premotion and self-determination]
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8The Ontology of Number: Is Number an Accident?In Lukás Novák, Daniel D. Novotný, Prokop Sousedík & David Svoboda (eds.), Metaphysics: Aristotelian, Scholastic, Analytic, Ontos Verlag. pp. 123-140. 2012.
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27Metaphysics: Aristotelian, Scholastic, Analytic (edited book)Ontos Verlag. 2012.Throughout the greater part of the twentieth century, both in the analytic and continental traditions, metaphysics was deemed to be passé. The last few decades, however, have witnessed a remarkable growth of interest among analytic philosophers in various traditional metaphysical topics, such as modality, truth, causality, etc. which resulted in the emergence of various forms of analytic metaphysics. The new forms of metaphysics differ from its traditional forms mostly in their methodology and i…Read more
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18The Philosophy of Francisco Suárez, by Benjamin Hill and Henrik Lagerlund (eds)Mind 122 (488): 1102-1108. 2013.
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51Theories of Cognition in the Later Middle Ages (review)Studia Neoaristotelica 3 (2): 183-190. 2006.
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42Pravdivost výroků o (podmíněně) budoucích nahodilých událostechStudia Neoaristotelica 2 (2): 169-191. 2005.The article deals with the problem of the future contingents from the logical point of view, i.e. whether the propositions about (conditional) future contingents have a determinate truth-value. The author attemps to show how the problem was discussed both in the 17. century between a Prague’s Jesuit M. Větrovský and a French Dominican A. Goudin, as well as how the discussion has progressed through contemporary analytical philosophy. Firstly the history of the problem is explored to provide the s…Read more
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19Pojetí muže a ženy (nejenom) u Platóna a AristotelaStudia Neoaristotelica 19 (7): 111-145. 2022.We deal with the concept of man and woman, as well as with the problem of their equality, in the two great ancient thinkers Plato and Aristotle. The discussion of Plato leads to the conclusion that there is no substantial difference between man and woman. We find Plato’s view close or similar to today’s widely held doctrine of “unisexism”. Aristotle on the other hand believes that there are important differences between man and woman and we find in his texts two approaches to the problem. In his…Read more
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29Thomas Aquinas and Some Thomists on the Nature of MathematicsReview of Metaphysics 73 (4): 715-740. 2020.The authors explicate Aquinas's conception of mathematics. They show that in his work the Aristotelian conception is prevalent, according to which this discipline is—together with physics and metaphysics—a theoretical science, whose subject is the study of real quantity and its necessary properties. But, alongside this dominant and prevalent conception, Aquinas's work contains a number of indications that cast doubt. These sparse and rather marginal reflections lead the authors to conclude that …Read more
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30Formal Abstraction and its Problems in AquinasAmerican Catholic Philosophical Quarterly 96 (1): 1-20. 2022.Formal abstraction is a key instrument Aquinas employs to secure the possibility of mathematics conceived as a theoretical Aristotelian science. In this concept, mathematics investigates quantitative beings, which are grasped by means of formal abstraction in their necessary, universal, and changeless properties. Based on this, the paper divides into two main parts. In the first part (section II) I explicate Aquinas’s conception of (formal) abstraction against the background of the Aristotelian …Read more
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14Dilemma about NumberProceedings of the XXIII World Congress of Philosophy 56 41-46. 2018.The paper deals with the ontological status of number. The authors are convinced that it is useful to discuss the concept of number within the framework of the Aristotelian division of being into substance and accident. Number can thus be taken as ens in se or ens in alio. Aristotle and Thomas Aquinas believed that number is an accident and their concept is explained in the first part of the paper. In the second part it is shown that the Aristotelian concept is not correct. However, if number is…Read more
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20The Emergence of (Instrumental) Formalism and a New Conception of ScienceStudia Neoaristotelica 16 (2): 307-329. 2019.According to formalism, a mathematician is not concerned with mysterious metaphysical entities but with mathematical symbols. As a result, mathematical entities become simply sensible signs. However, the price that has to be paid for this move seems to be too high, for mathematics, at present considered to be the queen of sciences, turns out to be a to a contentless game. That is why it seems absurd to regard numbers and all mathematical entities as mere symbols. The aim of our paper is to show …Read more
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28Introduction to Special Issue: The Emergence of StructuralismPhilosophia Mathematica 27 (3): 299-302. 2019.
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Physical premotion and self-determination (Thomists D. Banez and D. Alvarez)Filosoficky Casopis 52 (4): 559-568. 2004.
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Thomas' View of NumberOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (1): 53-69. 2010.
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Mill's Conception of NumberOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 20 (2): 201-221. 2013.
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26Je Tomášovo pojetí matematiky instrumentalistické?Studia Neoaristotelica 14 (4): 19-36. 2017.Responsione nostra disputationem cum L. Novák prosequimur, qui tractationem nostram, cui titulus “Různá pojetí matematiky u vybraných autorů od antiky po raný novověk”, impugnavit. Impugnatio a L. Novák sub titulo “Tomáš Akvinský instrumentalistou v matematice?” conscripta ansam praebuit nobis ad nonnulla, quae dixeramus, non solum clarius, sed etiam latius ac profundius explananda. Qua in re inprimis ad hoc attendimus, quomodo S. Thomas mathematicam, scientiasque medias necnon philosophiam inte…Read more
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60Francisco Suárez on the Addition of the One to Being and the Priority of the One over the ManyStudia Neoaristotelica 4 (2): 158-172. 2007.Suárez’s solution to the problem of the conceptual Addition of the One to being follows firstly the Aristotelian-Averroistic tradition mediated by Aquinas. According to this tradition, the One adds to being only a negative determination. Suárez claims that the One does not signify any positive perfection either really or conceptually distinct from being as such. Suárez’s own solution to the problem is presented in a critical discussion with many different conceptions, but Suárez pays most attent…Read more
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36The Logical and Metaphysical Structure of a Common NatureOrganon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (2): 185-200. 2010.The paper deals with a type of whole and part that can be found in Aquinas’ work and to which no attention has been paid so far. This type of whole and part can be called metaphysical whole and metaphysical part, respectively. In the paper, metaphysical whole and part are put forth on the problem of the logical and metaphysical structure of a common nature
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49Participace v díle Tomáše AkvinskéhoStudia Neoaristotelica 7 (2): 161-179. 2010.The paper deals with Aquinas’s concept of participation. Its goal is to introduce the reader to the problem, since no significant attention has been paid to it in Czech literature so far. The article is divided into three main parts: first a general description and division of participation is given, second the mutually opposite properties “to be through essence” and “to be through participation” are explained and finally the other general characteristics of participation are put forth.
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48The Ratio of UnityAmerican Catholic Philosophical Quarterly 86 (1): 47-70. 2012.The paper deals with the problem of the ratio of unity in the work of Thomas Aquinas. More specifically, it tries to answer the question wherein the ratio of unity consists: whether it is a “positive entity of being” or rather the “negative aspect of being undivided.” In order to answer the question properly the paper is divided into four main parts. In the first two parts the constitutive characteristics of unity are explained and attention is focused on the concepts division and negationof div…Read more
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41Transcendentálie a kategorie v díle Tomáše AkvinskéhoStudia Neoaristotelica 5 (2): 165-184. 2008.The paper deals with the conception of transcendental and categorial concepts in the work of Thomas Aquinas. As a starting point of the exposition the discussion of this matter in De veritate 1, 1 has been chosen, where Aquinas, drawing on Aristotle and Avicenna, determines which are the first concepts of intellect. The absolutly first concept, the terminus of conceptual analysis, is the concept of being (ens). All other concepts, both categorial and transcendental, result from conceptual additi…Read more
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17The Ratio of UnityAmerican Catholic Philosophical Quarterly 86 (1): 47-70. 2012.The paper deals with the problem of the ratio of unity in the work of Thomas Aquinas. More specifically, it tries to answer the question wherein the ratio of unity consists: whether it is a “positive entity of being” or rather the “negative aspect of being undivided.” In order to answer the question properly the paper is divided into four main parts. In the first two parts the constitutive characteristics of unity are explained and attention is focused on the concepts division and negationof div…Read more
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Is the number of object or property?Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 50-67. 2011.
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61The Importance of Scholastic TheologyStudia Neoaristotelica 8 (2): 249-257. 2011.Huius recensione subiectum liber est, qui ab Ulrico G. Leinsle sub titulo Einführung in die scholastische Theologie Germanice conscriptus, a M. J. Miller magna cum sollertia Anglice redditus est. In hoc libro Leinsle materiae historicae copiam diligentissime collegit ac ordine disposuit, contributionem faciens singularem et novam ad philosophiae historiam cognoscendam. Scholaribus et viris scientificis, qui hisce legatis intellectualiis studeant, liber dictus conspectum offerit latum et valde co…Read more