Philosophy of space

Space is in one sense the most immediate phenomenon we experience: we occupy it all the time, even in our
imaginings and dreams. Notions of space underpin physics but can reach far beyond empirical theories: we
sometimes speak of virtual, conceptual, social and entirely abstract spaces too.
Yet it's a hard subject to think about coherently. In what sense does space exist? Can space be finite without
having a boundary? Could a spacecraft travel in a straight line and end up back where it started? Can we
separate space from the substance it contains? Is talk of non-physical spaces meaningful?
Considering these questions will take us on a trajectory from the medieval world to modern maths and science.