North Texas Objectivist Society (NTOS) Message Board › Philosophy: Esthetics. How To Spell It?
The fifth and last branch of philosophy is esthetics, the study of art, which is based on metaphysics, epistemology and ethics.
—Ayn Rand, "Philosophy: Who Needs It?"
Google(R) searches of "esthetics" and "aesthetics" show 2.5 million vs. 20 million hits.
Ayn Rand spelled it starting with an "e"; her spelling is fine with me.
Seriously, the five branches of philosophy—any philosophy—are:
3. ethics (morality)
The relationship of the branches of philosophy is sometimes presented graphically as an "X" (ignore the spacing dots) with ethics in the center of the "X":