Aristotle’s theory of abstraction says each person “abstracts” his own concepts of things from his own knowledge of the particular concrete things around us. But mathematical concepts have to be the...

Aristotle’s theory of abstraction says each person “abstracts” his own concepts of things from his own knowledge of the particular concrete things around us. But mathematical concepts have to be the same for all persons and all societies. So does Aristotle’s theory of abstraction account for our knowledge of mathematical concepts? (See question 4.) Who do you think best accounts for our knowledge of mathematics and our knowledge of ideals such as beauty, goodness, and justice, Aristotle or Plato?