Hi. You did not enter the text to which this question refers, which makes it impossible for your question to be answered. However, I will try to help you as best I can.
A textual evidence is a justification that the author uses to prove an argument presented in the text. This evidence seeks to present elements that prove that the author's argument about something must be considered correct and true. In this case, to answer your question, you should read the entire text and identify the sentences the author uses to prove that the late nineteenth and early twentieth centuries were crucial decades in the development of Western thought. In this case, the author can present the scientific discoveries made during this period that were essential to explain and solve several problems that humanity did not know how to solve.
Actually during the medieval and renaissance era, the church and scientists fight to justify their own inventions and opinions in worldly things. Galileo maybe said that because he corrected some mistakes of the church in their discovery.
