  In section.1 the objectivity in science is presented shortly. In section.2
some details concerning the objectivity in the case of the mechanical movement
description of a material particle are given. In section.3 details concerning
the objectivity of the description in the Newtonian continuum mechanics are
given. The Riemann-Liouville and the Caputo fractional order derivatives are
presented shortly in section 4. In section 5 the lost of the objectivity of the
mechanical movement descriptions, presented in sections 2,3, due to the use of
the Riemann-Liouville or the Caputo fractional order derivatives is presented.
This is followed, in section 6, by the presentation of some recent papers which
propose the use of these fractional order derivatives, instead of the integer
order derivatives, in the description of some physical phenomena. It is
underlined that the objectivity in these last papers is ignored. At the end of
the present paper instead of conclusion we formulate the following question: if
a mathematical description of a real phenomenon is not objective then what is
the interpretation of the reported results and how this results have to be
used?
