The book is called” Infinite Powers” by Steven Strogatz and a…

The book is called” Infinite Powers” by Steven Strogatz and a picture is added below.
Each question should be answered with supporting evidence from the book.
What is the difference between completed infinity and potential infinity? Explain the problems caused by completed infinity, and explain how potential infinity can help us to solve complicated problem.
Briefly describe how Archimedes “trapped” pi. What two values did he know pi to be between? How close was his approximation? Then, describe an example of how Archimedes’ methods are used today.
Kepler was described as “an antidote to the pious belief that the Progress of Science is governed by
logic.” Explain what this means by comparing and contrasting Galileo and Kepler’s approaches to
science and math.
Thank you in advance.