MATHEMATICS+AND+THE+KNOWER

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MATHEMATICS AND THE KNOWER QUESTIONS
Can mathematics be characterized as a universal language?

To what extent is mathematics a product of human social interaction?

What is the role of the mathematical community in determining the validity of a mathematical proof?

Why is it that mathematics is considered to be of different value in different cultures?

How would you account for the following features that seem to belong particularly to mathematics: some people learn it very easily and outperform their peers by years; some people find it almost impossible to learn, however hard they try; most outstanding mathematicians supposedly achieve their best work before they reach the age of 30?

What counts as understanding in mathematics? Is it sufficient to get the right answer to a mathematical problem to say that one understands the relevant mathematics?

Are there aspects of mathematics that one can choose whether or not to believe?

How do we choose the axioms underlying mathematics? Is this an act of faith?

Do the terms “beauty” or “elegance” have a role in mathematical thought?

Is there a correlation between mathematical ability and intelligence?

Is there a clear-cut distinction between being good or bad at mathematics?

How have technological innovations, such as developments in computing, affected the nature and practice of mathematics?