Concept:
Plato described a hierarchy of studies that helps the soul move from the visible world toward higher intellectual knowledge.
The order moves from mathematical sciences toward dialectics.
Step 1: Start with Arithmetic.
Arithmetic deals with number and is the first important mathematical science.
So:
\[
C = \text{Arithmetic}
\]
Step 2: Next comes Geometry.
Geometry studies spatial relations and forms.
So:
\[
E = \text{Geometry}
\]
Step 3: Next comes Astronomy.
Astronomy studies heavenly motions.
So:
\[
D = \text{Astronomy}
\]
Step 4: Next comes Harmonics.
Harmonics studies mathematical relations in sound.
So:
\[
A = \text{Harmonics}
\]
Step 5: Highest is Dialectics.
Dialectics is the highest method of philosophical knowledge.
So:
\[
B = \text{Dialectics}
\]
Thus, the correct order is:
\[
C \rightarrow E \rightarrow D \rightarrow A \rightarrow B
\]
Hence:
\[
\boxed{\text{(C) C, E, D, A, B}}
\]