Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
List of first-order theories wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Numbers (TV series) wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Ethnomathematics wikipedia , lookup
Computability theory wikipedia , lookup
Hyperreal number wikipedia , lookup
Elementary mathematics wikipedia , lookup
Naive set theory wikipedia , lookup
Young man, in mathematics you don't understand things. You just get used to them. — John von Neumann Orders of Infinity ► ► ► ► ► If each element in red set can be paired (1-to-1) with an element in the blue set, sets have same cardinality. Smallest infinite set is the set of natural numbers N = {1,2,3…}, said to be a countable infinity, cardinal number 0. Countable sets: N, Z, Q Next cardinal number is c, the cardinality of the continuum. Sets with cardinality c: [0,1], R, C, Rn Lines, surfaces, volumes,… have same “number” of points!