Symmetry may be very familiar and intuitive to us, but how can we talk about symmetry mathematically? We know that triangles and spheres both possess kinds of symmetry, but how are they related? The mathematics of symmetry can be described by "Group Theory".

# Do Imaginary Numbers Exist?

To anyone who doesn't use abstract mathematics on a daily basis, the concept of an imaginary number sounds absurd. We can't use them to count things, as we can with natural numbers.

# Consciousness Has No Place In Quantum Physics

While I will be quick to point out that a theory of quantum mechanics based on consciousness has not been ruled out, it is certainly not the only way to formulate the laws "in a fully consistent way". Pilot wave theory, GRW collapse theory, many-worlds theory, and decoherence theory are all consistent attempts at trying to make sense of quantum mechanics.

# Electrons – Waves or Particles?

Embracing wave-particle duality helps us to come to terms with the strange results of the double-slit experiment, but it leaves us with a very confusing picture of what an electron actually is.

# The Only Mystery of Quantum Mechanics

"It is absolutely impossible to explain in any classical way and has in it the heart of quantum mechanics. In reality, it contains the only mystery." - Richard Feynman