Most Merry and Illustrated Proof of Cantor`s Theorem on the
... So George was right after all. How about that? ...
... So George was right after all. How about that? ...
Homework for Lesson 3
... a) A whole number is _______________ a natural number. b) The quotient of two integers is _______________ an integer. c) A whole number is _________________ a rational number. d) The difference between two integers is _______________ an integer. e) The square root of a number is __________________ a ...
... a) A whole number is _______________ a natural number. b) The quotient of two integers is _______________ an integer. c) A whole number is _________________ a rational number. d) The difference between two integers is _______________ an integer. e) The square root of a number is __________________ a ...
Sum of Numbers Problems
... second integer is x+2 and the third integer is x+4. So, algebraically, the problem becomes ( x ) + ( x + 2 ) + ( x + 4 ) = 27 . Now the parenthesis are not necessary; they are just put there to emphasize the page numbers in an algebraic form. We can remove the parenthesis, gather like terms and solv ...
... second integer is x+2 and the third integer is x+4. So, algebraically, the problem becomes ( x ) + ( x + 2 ) + ( x + 4 ) = 27 . Now the parenthesis are not necessary; they are just put there to emphasize the page numbers in an algebraic form. We can remove the parenthesis, gather like terms and solv ...
Integers and Absolute Values
... The numbers 1, 2, 3, … are called positive integers. The number positive 4 is written +4 or 4. ...
... The numbers 1, 2, 3, … are called positive integers. The number positive 4 is written +4 or 4. ...
Infinity
Infinity (symbol: ∞) is an abstract concept describing something without any limit and is relevant in a number of fields, predominantly mathematics and physics.In mathematics, ""infinity"" is often treated as if it were a number (i.e., it counts or measures things: ""an infinite number of terms"") but it is not the same sort of number as natural or real numbers. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e., a number greater than any real number; see 1/∞.Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the theory he developed, there are infinite sets of different sizes (called cardinalities). For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.