Archive for the ‘Uncategorized’ Category
Cantor's basic idea of infinity plus 1
Posted by: Gary Ernest Davis on: October 1, 2010
Many people do not think it is problematic to bundle all the counting numbers together in a set: the set of all natural numbers. Yet from a set-theory perspective this is an explicit axiom – the axiom of infinity – because the other axioms of what by now are standard set theories allow an interpretation […]
The strangeness of mathematical language
Posted by: Gary Ernest Davis on: September 30, 2010
The four branches of arithmetic: ambition, distraction, uglification and derision. The Mock Turtle Polylaterals We all know what a triangle is: its a closed figure with 3 sides. But the triangle’s generic name sounds like it should have 3 angles: TRI-ANGLE. Well, of course, it does have 3 angles, one opposite each of the 3 […]
