I think the sense that most people are thinking of when they say “Pi is infinite” is, “The digits in the decimal representation of Pi just keep going forever”. You can parse this sentence in ways that make it technically true, but in most of those senses, it's true of other things as well. But infinity does not do anything, it just is. This is also use to explain the concept of calling a circle corner-less or polygon with infinite side as we use pi to calculate it's circumference. I was watching a TV show the other night when one of the characters repeated one of my pet-peeve clichés, “Pi is infinite”. Find its width.? I must tell you one thing prior to giving you the answer. The meaning of infinity.The definition of 'becomes infinite' Let us see what happens to the values of y as x approaches 0 from the right:. I will explain this as Pi is not a rational number and is considered a irrational number where the first six digits of pi (314159) appear in order many times. It is obviously false in this sense, since pi is less than four. Did McCracken make that monolith in Utah? Then r+1 is bigger than r. So there can be no biggest number, since you can always add one to any number. Infinity, since there is no no. Mathematics exercise (differential equation). . ) Is Pi squared infinity? It is obviously false in this sense, since pi is less than four. In fact, this is true for every fraction whose denominator in lowest-terms has only factors of two and five (since ten is divisible by both of these). Can science prove things that aren't repeatable? The most natural way to interpret “Pi is infinite” is as meaning, “Pi is not bounded above”. An Infinity Bigger Than Infinity. and so we can say that you are asking infinity versus infinity upto this date. If the area of a rectangular yard is 140 square feet and its length is 20 feet. “Infinity” is not a number. f(π) = e π – π e > 0. hence. This will lead to the result. However, this is at best saying that “The decimal digits of Pi don't follow any *of these* predictable patterns”, which doesn't have the majesty of the statement “Pi is infinite”. The exponential function [e^x] grows to infinity faster than the power function [x^e], so f'(x) > 0 for x > e. ” Since f'(x) is positive for x > e, this implies that f(x) is increasing for values x > e. Since π > e, we have f(π) > f(e) = 0. Infinity is bigger than all the natural numbers (numbers like 1,2,3. . greater than infinity even though pi (without the decimal) would go to millions of digits... Where'd ya here that. The square root of two is an algebraic number, because if you plug the square root of 2 in for x in the polynomial “x² - 2”, you get 0. One could look at the methods for calculating the digits of Pi, and state that they are all of a certain complexity class. I really struggle to understand where some of these questions come from. T(4,6)=? Enter the world of real numbers. Infinity isn't a number, it is a concept. Yes! now so if we considered in case of pi the value without decimal it is infinite and so the concept of infinity is used in to describe that. As it happens, there's another set of numbers between the Rational Numbers (fractions) and the Real Numbers called the Algebraic Numbers. It come from an idea of Georg Cantor who lived from 1845 to 1918. The funny thing is, I could actually go on. Although if you've read this far, you probably find it funny too.) how much money would i have if I saved up 5,200 for 6 years? The Algebraic Numbers consist of those numbers that are the zeros of polynomials with rational coefficients. The problem is that according to "bigger is better", all finite numbers lose ground when infinity enters the discussion. Besides, I don't follow statistics research, so for all I know they've come up with a new test that does detect a pattern in Pi. How do you think about the answers? I realize it's petty of me to care, but I find this irksome. In addition, it's false in the most natural sense. Infinity, since there is no no. Ultimately, though, the reason the statement “Pi is infinite” bothers me is because it's so often used in a place where a reference to transfinite ordinals or large cardinals could work just as well, but instead the writers took the easy way out. They might try to say that they meant “Pi is infinite” in the sense that “The decimal digits of Pi don't follow any predictable pattern”, but this is actually false. So, they might say “Pi is infinite” to mean, “Pi can't be represented by a simple pattern of decimal digits”. It's also completely unimpressive, since this is true of the digits in every real number, including zero -- you just get an unbounded string of zeros. The problem I have ... you still wouldn't be able to account for all it's arguments!! It's an expression for a number which is so large that human mind can't deal with it, even on a computer. Cantor looked at comparing the size of two sets, that is two collections of things.