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Mathematical fictionalism (or as I'll call it, fictionalism) is best thought of as a reaction to mathematical platonism. Platonism is the view that (a) there exist abstract mathematical objects (i.e., nonspatiotemporal mathematical objects), and (b) our mathematical sentences and theories provide true descriptions of such objects. So, for instance, on the platonist view, the sentence ‘3 is prime’ provides a straightforward description of a certain object—namely, the number 3—in much the same way that the sentence ‘Mars is red’ provides a (...) |
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This entry introduces the reader to the main ideas in Frege's philosophy of logic, mathematics, and language. |
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A system of categories is a complete list of highest kinds or genera. Traditionally, following Aristotle, these have been thought of as highest genera of entities (in the widest sense of the term), so that a system of categories undertaken in this realist spirit would ideally provide an inventory of everything there is, thus answering the most basic of metaphysical questions: “What is there?”. Skepticism about the possibilities for discerning the different categories of ‘reality itself’ has led others to approach (...) |
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If mathematics is regarded as a science, then the philosophy of mathematics can be regarded as a branch of the philosophy of science, next to disciplines such as the philosophy of physics and the philosophy of biology. However, because of its subject matter, the philosophy of mathematics occupies a special place in the philosophy of science. Whereas the natural sciences investigate entities that are located in space and time, it is not at all obvious that this is also the case (...) |
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The article uses a producer-consumer theory from philosophy of mind and language to analyse the meaning of basic health concepts like disease, illness and sickness. The core idea of the producer-consumer perspective is that a person who has an incomplete understanding of a term can associate it with the same concept as a linguistic expert, if both of them are willing to defer to the same contextual or general norms of meaning. Using “disease” as an example, the article argues that (...) |
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Al responder al reto que Donnellan les presenta a los russellianos de explicar los usos referenciales de las descripciones definidas, éstos recurren a la distinción entre el significado del hablante y el significado semántico. Suponiendo que, a diferencia de las descripciones definidas, los demostrativos sólo pueden usarse referencialmente, defiendo la idea de que aun en estos casos se puede distinguir el significado del hablante del significado semántico. Explico cómo puede establecerse la distinción en el caso de los demostrativos complejos y (...) |
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Joan Weiner has argued that Frege’s definitions of numbers constitute linguistic stipulations that carry no ontological commitment: they don’t present numbers as pre-existing objects. This paper offers a critical discussion of this view, showing that it is vitiated by serious exegetical errors and that it saddles Frege’s project with insuperable substantive difficulties. It is first demonstrated that Weiner misrepresents the Fregean notions of so-called Foundations-content, and of sense, reference, and truth. The discussion then focuses on the role of definitions in (...) |
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One version of the Julius Caesar problem arises when we demand assurance that expressions drawn from different theories or stretches of discourse refer to different things. The counter‐Caesar problem arises when assurance is demanded that expressions drawn from different theories . refer to the same thing. The Julio César problem generalises from the counter‐Caesar problem. It arises when we seek reassurance that expressions drawn from different languages refer to the same kind of things . If the Julio César problem is (...) |
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A number of important philosophical problems are problems in the overlap of logic and ontology. Both logic and ontology are diverse fields within philosophy, and partly because of this there is not one single philosophical problem about the relation between logic and ontology. In this survey article we will first discuss what different philosophical projects are carried out under the headings of "logic" and "ontology" and then we will look at several areas where logic and ontology overlap. |
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It is fundamental assumption in nursing theory that it is important for nurses to understand how patients experience states of ill health. This assumption is often related to aims of empathic understanding, but normative principles of social interpretation can have an important action‐guiding role whenever nurses seek to understand patients’ subjective horizons on the basis of active or passive expressions of meaning. The aim of this article is to present a philosophical theory of concept possession and to argue that it (...) |
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