For instance, the set of all integers is smaller than the set of all reals, as proven by Georg Cantor in his Diagonal Proof :) Integer infinity is called countable infinity, aka al... moreFor instance, the set of all integers is smaller than the set of all reals, as proven by Georg Cantor in his Diagonal Proof :) Integer infinity is called countable infinity, aka aleph null. Infinity of the reals is called uncountable infinity. Countable because you can start with the smallest number and work your way to infinity. Uncountable because . ̅01 ("point zero repeating, with a 1 at the end") is not a valid number. You can't start with the smallest possible nonzero positive number. It's just not possible. Thus it's uncountable.
Is it bad I spent 10 minutes just trying to get the unicode to work for the overline? xD Even then not sure why it didn't parse correctly. less
They are the Platonic Solids, the tetrahedron, cube (hexahedron), octahedron, dodecahedron, and icosahedron, respectively. A Platonic Solid is a figure with all of its faces being ... moreThey are the Platonic Solids, the tetrahedron, cube (hexahedron), octahedron, dodecahedron, and icosahedron, respectively. A Platonic Solid is a figure with all of its faces being the same, all its edges being the same length, and all of its angles being the same. There are only five platonic solids in 3 dimensions. The dodecahedron is my favorite! It has pentagonal faces, which I find really interesting. Math! <3
You live in a society where the rules are clear and there is no wiggle room for protest or disagreement. You DARE NOT disagree.Your life is dictated to you so you never have to dec... moreYou live in a society where the rules are clear and there is no wiggle room for protest or disagreement. You DARE NOT disagree.Your life is dictated to you so you never have to decide anything. Everything is decided for you. You will get along as long as you comply/obey/agree. That kind of life might be comforting to some. Is it comforting to thee?
