There are an infinite number of numbers. But there are also an infinite number of numbers between any two numbers! In fact, there are more numbers between numbers than there are countable numbers, even though both are infinite! (Mind blown yet?) George Cantor, the father of Set Theory and a devout Christian, proved that. Joel Bezaire shows what the concept of “multiple infinities” can do to our sense of the infinity of God. [Read more…]
A comic strip (which you can see here after the jump) raised a mathematical conundrum that I’ve been trying to get my mind around. Maybe you can help.
(1) 9 x 1/9 = 1. Right? That’s what the fraction 1/9 means.
(2) 1/9 = .1111111. . . If you turn 1/9 into its decimal form, by dividing 9 into 1, the result is .1111111. . . [meaning a repetition into infinity]
(3) 9 x (.1111111. . .) = 1 Substitute the decimal form for 1/9 in equation (1).
(4) .9999999. . . = 1 Do the calculation in equation (3). 9 x .111111. . . is .999999. . ., another repetition into infinity. The number by itself is short of 1, infinitely short, but you could go into infinity and it would never be 1. AND YET, in the equation, .99999 in an infinite regress EQUALS 1.
How can that be? [Read more…]