Philosophy is no longer a field of Science at all. Science, specifically Physics, did develop from Philosophy, and other Sciences developed from Physics.
This (above) explains the term "PhD" (Doctor of Philosophy) and "Physician".
There are many differences between Philosophy and Science. The most important is probably that Science deals exclusively with physical objects (living or not), while Philosophy has a wider area of concern.
Also, in Science, questions can (often) be answered by performing an experiment. If everyone agrees that the experiment was designed and done well, the results are accepted as "the correct answer." It is not like that in Philosophy.
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If you understand the philosophy of science you will better appreciate the value of science, and the reason why science is better than pseudo-science.
Neuroscience is the study of memory. This also includes other topics but memory would fall under this one heading of science.
Science is separated from non-science by the criteria of falsifiability. Religion study can't be proved to be false for the statement "God created the universe" and so it is nonscience. Philosophy is base on scenario and logic and mostly can't be prove whether one would be truer than other and thus is nonscience. Mathematics fall in the same category as Philosophy though it is the great tool in science but the pure Math is nonscience. Literature is also the study outside realm of science for it is the emotional quality and not the matter that can be prove if it is right or wrong.
The study of psychology is a study in science. Psychology is the study of human behavior from a scientific perspective.
Ethics is a branch of philosophy, not a branch of science (although scientists can still strive to be ethical).
Yes, Logic is now considered a branch of Science not of Philosophy anymore. In the old days Logic is formerly a branch of Philosophy.