Diophantine equations

Diophantine equations

In mathematics we usually consider functions and equations over the real numbers. This means that we can input numbers like , and in our functions and can expect outputs of that form as well. Solutions of such equations also typically allow for such forms. Diophantine...
Quantum immortality

Quantum immortality

In quantum mechanics, physicists have come up with all kinds of thought experiments. Quantum suicide and quantum immortalilty are examples of these thought experiments. They are a variation on the most famous problem in quantum mechanics, Schrödinger’s cat. This...
The raven paradox

The raven paradox

The raven paradox Econometricians face difficult problems. One of the hardest problems one can encounter is a paradox. The raven paradox is such a problem and was first proposed by logician Carl Gustav Hempel. The paradox has its basis in statististics. In this...
Newcomb’s paradox

Newcomb’s paradox

Let’s suppose that we have a game with two players. One is a person that will make a decision and the other is a supercomputer that will try and predict that decision beforehand. This computer has been tested many times and the testers have worked out that the...