RE: p
03-10-2017, 06:24 AM
consider the list of all possible sandwich toppings, i.e. Lettuce, tomato, basil, mustard... now remove all but the best topping, the second best topping, etc, leaving some damn fine toppings. Now arrange these toppings on an actual table, like the one below.
![[Image: table_PNG7000.png]](https://pngimg.com/uploads/table/table_PNG7000.png)
let us create a new sandwich, Steve. let the first topping on Steve be equal the first topping on the list, but better, The second topping be the second topping on the list, but better, etc. with only the toppings from the table above. Steve=Hella Good.
we have thus constructed a (probably) prime sandwich that is different from every prime topping on our list, proving that there are uncountably many sandwiches, and, as a corollary, that there exists some prime sandwich of infinite tastiness.
let us create a new sandwich, Steve. let the first topping on Steve be equal the first topping on the list, but better, The second topping be the second topping on the list, but better, etc. with only the toppings from the table above. Steve=Hella Good.
we have thus constructed a (probably) prime sandwich that is different from every prime topping on our list, proving that there are uncountably many sandwiches, and, as a corollary, that there exists some prime sandwich of infinite tastiness.