Does this represent the state of philosophy of mathematics, because I find this view quite naive. Mathematics is in the business of making a model of the real world and then making falsifiable predictions with it, just like science. Take Fermat&#x27;s last theorem: for all positive a,b,c and n&gt;2, the value a^n + b^n - c^n never comes out 0. This is an empirically falsifiable statement. You can even make it a statement about real world objects if you wish: represent a number by a jar of coins, and do addition C=A+B by filling jar C with the coins in jar A and jar B together, multiplication AB by taking a whole jar B for each coin in A, etc.  Rules of mathematical deduction are just devices for making predictions. So mathematical objects are neither &quot;real&quot; as in platonism, nor meaningless as in fictionalism.