Math as game

Welcome to online math help,

One of the things it took me a long time to realize was that math is
largely a game, and the game works this way: We make up a set of rules,
and then we try to see what consequences follow from the rules.

For example, one game is called 'arithmetic'. We define what it means
to be a number, i.e., the first number is zero, similar examples on online math forum;
and if we have any
number, we can define another number by adding 1 to it:

0 + 1 = 1
1 + 1 = 2
2 + 1 = 3

Of course, to do this, we also have to define what we mean by
'addition'. Now, having made up these rules, we start playing with
them to see what happens. One thing that happens is that we notice
certain patterns, and we use these patterns to add new rules.
Now let us understand math with free math tutor.