Mind Matters Natural and Artificial Intelligence News and Analysis

TagUniverse (as having a beginning)

big-bang-in-space-the-birth-of-the-universe-3d-illustration-stockpack-adobe-stock
Big Bang in Space, The Birth of the Universe 3d illustration

2. Infinity Illustrates That the Universe Has a Beginning

The logical consequences of a literally infinite past are absurd, as a simple illustration will show

The size of a set is how many elements it contains. The set of letters {A,B,C} and the set of girls {Shirley, Goodness, Mercy} both have a cardinality of three. In a previous post, we showed that the infinities of counting numbers and even numbers are the same. Many subsets of the counting numbers have the same infinite size as the counting numbers. For example, consider the counting numbers and the set of numbers divisible by 10. and The size of the two sets is the same if there is a one-to-one mapping from one set to another. Here, 1 maps to 10, 2 maps to 20, 3 to 30, etc. This continues forever. The two sets are the same…