Are there 14 dimensions

Answer 1

That depends upon the context of your question.

Mathematically speaking you can have as many dimensions as you want, and work with them; so a 14-dimensional vector space is possible in mathematics and can be worked with.

But mathematics is also used to model the world:

Zero dimensions is a point

One dimension is a line

Two dimensions are a plane

Three dimensions forming length, width and depth form the space we live in.

Einstein extended the three dimensional space in Relativity by considering time as a fourth dimension creating a space-time model to explain things like gravity.

More recently there have been attempts to unify the different theories about how gravity, quantum effects, nuclear forces, etc work. As a result the three dimensions has been expanded by String Theory to many more dimensions. For example Super string theory has 10 dimensions and Bosonic string theory has 26. Supergravity theory has an upper limit of (and preference for) 11 dimensions, whilst general gravity theory allows any number of dimensions (including 14).