Bonnie Gold's research while affiliated with Monmouth University and other places
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Publications (4)
This book approaches the issue of the essence of numbers from a very broad perspective: historical, philosophical, and mathematical. The author is a practicing mathematician who has been working in philosophy since the 1990s, with a particular focus on phenomenology, while maintaining his activity in mathematics. As he explains in the preface to th...
This is a good time in the history of mathematics to reconsider the question “What is mathematics?” due to the large number of new fields of mathematics, and fields close to mathematics that we don’t consider to be mathematics, developed in the last century. What do subjects that are considered mathematics have in common, that those that are not pa...
Even those with no interest in the philosophy of mathematics take positions on a range of philosophical issues when they teach mathematics. Some of these issues are intimately related to common student confusions. These include the nature of mathematical objects and relations such as real numbers and equality; how we come to conclude a mathematical...
Citations
... Platonism, which is labeled as traditional, assumes that mathematics expresses perpetual relationships between objects that are intuitive as well as objective (Voigt, 1996;Gold, 2011). ...
