The first detail is "She always told me that "people who believe that science is the answer to everything are missing out on everything else." since science is not the answer to everything. The second one is "I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other." showing that if they couldn't communicate with each other, then they might have seen/had evidence that dragons existed once if they described them in similar ways. The final one is "I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals." showing that if all the other animals were real, then it was a possibility that dragons were real once too.
There is no word underlined but I'm guessing finite is the one being discussed. if that is the case then the word that's closest is limited. To say that there were a finite number of tickets is the same as saying there were a limited number of tickets.
