Quote by Galileo Galilei, Two New Science
The difficulties in the study of the infinite arise because we attempt, with our finite minds, to discuss the infinite, assigning to it those properties which we give to the finite and limited; but this...is wrong, for we cannot speak of infinite quantities as being the one greater or less than or equal to another.
Summary
This quote highlights the challenge of comprehending the concept of infinity using our finite minds. The quote suggests that our tendency to impose characteristics of limited and finite quantities onto the infinite is flawed. It implies that it is improper to compare infinite quantities in terms of being greater, lesser, or equal to one another, as we can do with finite quantities. In essence, the quote emphasizes the limitations of our human understanding when it comes to grasping the vast and limitless nature of infinity.