The word space is used in many ways and most of these applications give this word a different meaning. This makes the notion of space very obscure. Especially philosophers, mathematicians, and physicists have attributed a huge number of interpretations of the noun “space”. This has led to a huge number of different forms of space. Humans live in an environment that is characterized by space and time. This paper focuses on the most elemental meanings that mathematicians and physicists attribute to the word “space”. Next, the immediate extensions of this elementary space are investigated. Since physicists investigate our physical reality, the paper also investigates how physical reality treats the notion of space. This leads to a revolutionary new mathematical concept that is called the Hilbert repository. It exposes great similarity with part of the Standard Model of particle physics that concerns elementary fermions. This model exposes what experimenters have discovered about these elementary object types.