The influence of Platonism on mathematics research and theological beliefs

  title={The influence of Platonism on mathematics research and theological beliefs},
  author={Bharath Sriraman},
  journal={Theology and Science},
  pages={131 - 147}
An age-old debate in the philosophy of mathematics is whether mathematics is discovered or invented. There are four popular viewpoints in this debate, namely Platonism, formalism, intuitionism, and logicism. A natural question that arises is whether belief in one of these viewpoints affects the mathematician’s research? In particular, does subscribing to a Platonist or a formalist viewpoint influence how a mathematician conducts research? Does the area of research influence a mathematician’s… Expand
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The _____ Mathematics ___ ________ Educator _____ Editorial Staff ____________the________________ ___________ Mathematics________ ______________ Educator
A Note from the Editor Dear TME readers, Along with the editorial team, I present the first of two issues to be produced during my brief tenure as editor of Volume 14 of The Mathematics Educator.Expand


The book of beliefs and opinions
I shall preface this book that has been my intention to write with an account of the causes of the uncertainties that beset men in their quest [for the truth], and the methods for resolving them soExpand
1887-1920), regarded as one of the greatest mathematical geniuses, made substantial contributions to analytical number theory, elliptic functions, continued fractions, and infinite series
    Book of Beliefs
      I = author; the interviews have been "translated" from an oral into a written form
        Neo-platonism is used to mean that the mathematicians leaned towards a platonic viewpoint on the nature of mathematics and does not refer to the neo-platonic mystical philosophy
          Suppose C is a collection of non-empty sets. Then one can choose a member from each set in that collection. Therefore, there exists a function f defined on C such that
            The first space-filling curve was discovered by Guiseppe Peano in 1890. The construction starts with one curve f 0
              The use of infinitesimals, Mathematical monsters (Peano's curve), The Axiom of Choice, Gödel's Incompleteness theorems