{"product_id":"philosophy-of-mathematics-for-the-masses-extending-the-scope-of-the-philosophy-of-mathematics","title":"Philosophy of mathematics for the masses : extending the scope of the philosophy of mathematics","description":"How should we understand mathematics? Are we discovering truths\nabout reality when doing mathematics? Or are we merely constructing\nan elaborate story, which happens to be very useful? These questions\nhave long been the subject of philosophical debate, a debate that has\nmost recently been structured around Benacerraf’s Dilemma. Theories\nhave been put forward on both sides, some arguing that we discover\ntruths about reality, and some arguing that mathematics fails to attach\nto anything in the external world.\nI argue that while these theories might be able to answer the question\nI started with in the case of professional mathematicians, they cannot\nanswer it for ordinary people. So, I argue for an extension of the scope\nof the philosophy of mathematics. It should not only look at professional\nmathematicians, but it should also attempt to understand the\nmathematical practices of ordinary people.\nIn order to establish these claims, I provide an extensive survey of the\ncurrent theories in the philosophy of mathematics. For each of these, I\npoint to shortcomings that prevent them from describing the practices\nof ordinary people. I appeal to relevant empirical research, both from\npsychology and from pedagogy, and provide some new interpretations\nof this research. Since each of these theories fails to describe the practices\nof ordinary people, the conclusion that current research needs to\nstart looking at these practices follows.","brand":"Stockholms universitet","offers":[{"title":"Default Title","offer_id":32430783463524,"sku":"9789176493519","price":13.95,"currency_code":"EUR","in_stock":true}],"url":"https:\/\/suomalainen-test.myshopify.com\/products\/philosophy-of-mathematics-for-the-masses-extending-the-scope-of-the-philosophy-of-mathematics","provider":"Suomalainen Test","version":"1.0","type":"link"}