Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard ...
1. To put in a specified position or arrangement; place: set a book on a table; set the photo next to the flowers. 2. a. To put into a specified state: set the prisoner at liberty; set the house ablaze; set the machine in motion. b. To cause to begin an action: The noise set the dog to barking.