Are the foundations of mathematics rock-solid? Are we allowed to doubt them? How central is the concept of "infinity" to modern mathematics - and has the logic of infinity been fully worked out?

To help me answer these questions, I've traveled to Sydney, Australia to interview an unorthodox mathematician on the topic.

Dr. Norman Wildberger is also skeptical of the modern foundations of mathematics - even though he's a teaching professor at the University of New South Wales - and he has a popular youtube channel where he's laying out new foundations for the field.

You can find his youtube channel here: https://www.youtube.com/njwildberger

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