What reasoning does justice brown label as a " fallacy"?

#1) What was the basis of plessy's appeal in plessy vs ferguson?

The basis of Plessy’s appeal was to make them realize that the thirteenth and fourteenth amendments had been violated.

#2) What reasoning does justice brown label as a fallacy and how does justice brown view the fourteenth amendment?

The reasoning that Justice Brown labeled as fallacy was that the fourteenth amendment supported equality among all races. He went on by saying that the fourteenth amendment was enforced by law but it couldn't completely abolish the social aspect of racial equality