a praise of size_t and other unsigned types

Again I had a discussion with someone from a C++ background who claimed that one should use signed integer types where possible, and who also claimed that the unsignedness of size_t is merely a historical accident and would never be defined as such nowadays. I strongly disagree with that, so I decided to write this up, for once.

What I write here will only work with C, and can possibly extended to C++ and other languages that implement unsigned integer types, e.g good old Pascal had a cardinal type.