VolverListar (2018) Volumen 33. Número 2 por fecha de publicación
Mostrando ítems 1-14 de 14
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Praxis matemática: reflexiones sobre la cognición que la hace posible
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)Mathematics is a unique body of knowledge. Among others, it is abstract, exact, efficient, symbolizable, and it provides astonishing applications to the real world. In the domain of philosophy of mathematics the study of ... -
Indispensability, causation and explanation
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)When considering mathematical realism, some scientific realists reject it, and express sympathy for the opposite view, mathematical nominalism; moreover, many justify this option by invoking the causal inertness of ... -
Putnam’s indispensability argument revisited, reassessed, revived
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)Es esencial para el realismo de Putnam en filosofía de la matemática el poder mantener la objetividad de la matemática sin comprometerse con la existencia de objetos matemáticos. La versión de Putnam del argumento de la ... -
Mathematical explanation and indispensability
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)This paper discusses Baker’s Enhanced Indispensability Argument (EIA) for mathematical realism on the basis of the indispensable role mathematics plays in scientific explanations of physical facts, along with various ... -
The indispensability argument and the nature of mathematical objects
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)Two conceptions of the nature of mathematical objects are contrasted: the conception of mathematical objects as preconceived objects (Yablo 2010), and heavy duty platonism (Knowles 2015). It is argued that some theses ... -
Guest Editors’ Introduction
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)... -
¿“Natural” y “Euclidiana”? Reflexiones sobre la geometría práctica y sus raíces cognitivas
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)Se discutirán críticamente algunas tesis recientes sobre cognición geométrica, específicamente la tesis de la universalidad planteada por Dehaene et al., y la idea de una “geometría natural” empleada por Spelke. Argumentaremos ... -
Hilary Putnam on the philosophy of logic and mathematics
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)This paper focuses on Putnam’s conception of logical truth as grounded in his picture of mathematical practice and ontology. Putnam’s 1971 book Philosophy of Logic came one year later than Quine’s homonymous volume. In the ... -
Early numerical cognition and mathematical processes
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Núñez (2000), I propose one particular conceptual metaphor, the Process → ... -
Cognitive stories and the image of mathematics
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)This paper considers two models of embodied mathematical cognition (a modular model and a dynamic model), and analyses the image of mathematics that they support.; Este artículo considera dos modelos de cognición matemática ... -
Manipulative imagination: how to move things around in mathematics
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)In the first part of the paper, previous work about embodied mathematics and the practice of topology will be presented. According to the proposed view, in order to become experts, topologists have to learn how to use ... -
Putnam and contemporary fictionalism
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)Putnam rejects having argued in the terms of the argument known in the literature as “the Quine-Putnam indispensability argument”. He considers that mathematics contribution to physics does not have to be interpreted in ... -
The geometrical basis of arithmetical knowledge: Frege and Dehaene
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)Frege writes in Numbers and Arithmetic about kindergarten-numbers and “an a priori mode of cognition” that they may have “a geometrical source.” This resembles recent findings on arithmetical cognition. In my paper, I ... -
Guest editor’s introduction
(Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2018)...