Author Archive
What is a triangle? The role of definition
Posted by: Gary Ernest Davis on: October 2, 2010
The Galois field of order 4 is the set with addition and multiplication given by the following tables: Because for every we see that not only addition and multiplication, but also subtraction is always possible in GF(4), although subtraction is trivial since . Also, because we see division, except by 0, is always […]
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 […]
