It is interesting how people seem focused on changing the term "science" so as to exclude almost anything that isn't related engineering, mathematics and technology. That is a new trend and coincides with the rise of IT. It is, I believe, a development aimed at raising the status of the aforementioned fields by diminishing other fields.

Science is not a term linked to mathematics. Science is:

1: the state of knowing : knowledge as distinguished from ignorance or misunderstanding

2a : a department of systematized knowledge as an object of study the science of theology; b : something (such as a sport or technique) that may be studied or learned like systematized knowledge have it down to a science

3a : knowledge or a system of knowledge covering general truths or the operation of general laws especially as obtained and tested through scientific method; b : such knowledge or such a system of knowledge concerned with the physical world and its phenomena : natural science

Sociology, economics, psychology, medicine are all sciences.