Associate Professor Norman Wildberger's blog, tangential thoughts, engages and explores a range of mathematical issues.
His blog, featuring 40+ articles, canvasses various topics, and includes articles titled "What does a mathematician do?", "The future of education: YouTube and iTunes U?", and "Are mathematicians scientists?".
In his latest piece, The Banach-Tarski paradox: Is it nonsense?, he asks: "How can you tell when your theory has overstepped the bounds of reasonableness? How about when you start telling people your “facts” and their faces register with incredulity and disbelief? That is the response of most reasonable people when they hear about the 'Banach-Tarski paradox'."