Download Language and Mathematics: An Interdisciplinary Guide by Marcel Danesi PDF

By Marcel Danesi

This ebook explores the numerous disciplinary and theoretical hyperlinks among language, linguistics, and arithmetic. It examines tendencies in linguistics, comparable to structuralism, conceptual metaphor thought, and different suitable theories, to teach that language and arithmetic have an analogous constitution, yet differential services, although one with no the opposite wouldn't exist."

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Extra resources for Language and Mathematics: An Interdisciplinary Guide

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As Stewart (2013: 313) observes, the use of exist in any logical treatment of mathematics is hardly unambiguous, raising several deep questions, the most obvious one being the definition of exist itself: The deep question here is the meaning of ‘exist’ in mathematics. In the real world, something exists if you can observe it, or, failing that, infer its necessary presence from things that can be observed. We know that gravity exists because we can observe its effects, even though no one can see gravity.

By studying the forms, therefore, the idea is to get at the nature of the structures. Mathematicians use the terms structure and form in parallel ways. Structure is something that emerges from commonalities in forms and their relations. An example is the real number set. The numbers themselves are the forms that make up the set; but the relations that these show among themselves is what gives the set coherence and unity. These include (Senechal 1993): 1. differential order—every number is either greater or smaller than every other number; 2.

Traditional concepts in the two sciences are being revised and refashioned as the constant improvement in computer technologies makes it possible to carry out efficient analyses of specific theories and models. The Internet has also led to different ways of conducting research. One example of this is the Polymath Project. Mathematical discoveries have been largely associated with individuals working with mathematical ideas in isolation. And these are typically named after them—Pascal’s Triangle, Hamiltonian circuits, Bayesian inference, and so on.

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