Let us define
SPIRITUAL SCIENCE if there is such a science.
Spiritual science refers to the application of scientific methodology to experiences or phenomena of mind, culture or spirit. Interest in such an application arose widely at the end of the nineteenth and beginning of the twentieth century. Edmund Husserl, for example, wrote in 1935: Edmund Husserl Edmund Gustav Albrecht Husserl (April 8, 1859 - April 26, 1938, Freiburg) was a German philosopher, known as the father of phenomenology. ...
It is my conviction that intentional phenomenology has for the first time made spirit as spirit the field of systematic scientific experience, thus effecting a total transformation of the task of knowledge.
[1] The term
spiritual science is a translation from the German "
Geisteswissenschaft" (pl. "
Geisteswissenschaften"), which arose as a translation of
John Stuart Mills' reference to "moral sciences". The term is also translated as human studies, the humanities, cultural studies or the social sciences.
[2] Its literal meaning, however, is
the sciences of the mind or spirit. It is not meant to be a branch of
natural science. John Stuart Mill (May 20, 1806 - May 8, 1873), aka JS Mill, an English philosopher and political economist, was the most influential liberal thinker of the 19th century. ... The lunar farside as seen from Apollo 11 Natural science is the study of the physical, nonhuman aspects of the Earth and the universe around us. ...
Spiritual science is often used as a synonym for
anthroposophy. The latter, however, refers more narrowly to the work of
Rudolf Steiner and the movement connected with him, while
spiritual science refers more broadly to any research that uses the methodology of science to explore cultural, human or spiritual experience.

See? SPIRITUAL SCIENCE EXISTS!
Spiritual science - Religion Dictionary and Research Guide
And for your additional information SPIRITUAL SCIENCE includes the
The Seven Branches of Philosophy:
1.
Metaphysics
(theology, cosmology and nature of being)
2.
Logic
(the doctrine of reasonableness)
3.
Ethics
(morality and character)
4.
Psychology
(the whole field of mental phenomena) - Reincarnation and NDE's are part of this!
5.
Epistemology
(the essential nature of knowledge itself)
6.
Esthetics
(reactions to beauty, harmony, elegance and nobility)
7.
Theurgy
(doing the work of God).