infinity

Stung by some rather odd language on wikipedia at [[Two New Sciences#Infinite sets]], I'm reading the bits about infinity in "Two New Sciences" (Discourses and Mathematical Demonstrations Relating to Two New Sciences aka Discorsi e dimostrazioni matematiche, intorno à due nuove scienze, 1638) via the translation available at http://galileoandeinstein.physics.virginia.edu/tns_draft/tns_001to061.html. If you look at the oldid of the wiki article, you'll see the familiar problems: that all Galileo's ideas have been translated into the language of modern (set) theory that he likely would not…