<b>Simultaneous mathematics or different uses of mathematics? Reflections from the philosophy of Wittgenstein</b> - doi: 10.4025/actascieduc.v35i1.17806
Abstract
Our goal in this paper is to propose an interpretation different from that which usually has been given on the subject ‘mathematics or simultaneous mathematics’, namely, that there would be different mathematics: the mathematics of the day-to-day, school mathematics, academic mathematics etc. This assertion is often made from reflections of the mature philosophy of Ludwig Wittgenstein. Thus, we intend to develop this work as follow: we will discuss some general issues in the first phase of Wittgenstein's thought. These issues help to understand the discussion that will follow; we will explain how is based the asserting of the existence of several mathematics, according to our understanding, and discussing concepts of Wittgenstein – with special attention to the concept of family resemblances – we propose our interpretation on the theme ‘mathematics or simultaneous mathematics’.
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