Do i always have to capitalize phobia?

How would you write "the fourth of july? " the 4th of july or the fourth of july? are they both grammatically correct?

What does the author see as the main cause for why students don’t really see shakespeare as a real, flawed human being? we shouldn’t shy away from discussing our literary heroes’ flaws. if nothing else, the knowledge of their failures us appreciate what success and greatness these authors did achieve. often our hero-worship keeps us from truly seeing the complexity of a great author. thus, i would argue, nothing would be better for high school students than to take shakespeare down a peg or two. a) the fact that students never learn enough about shakespeares biography b) the fact that students only read shakespeare’s comedies while in school c) the fact that students are never assigned to read any shakespeare while in high school d) the fact that students only read shakespeare’s greatest works in school and thus never see his weaknesses

Which phrase best defines “quotations”