Intermediate Algebra
&gt; Irrational numbers are defined as any numbers that cannot be written as a ratio of two integers.<p>&gt; Finally, the set of real numbers, denoted R, is defined as the set of all rational numbers combined with the set of all irrational numbers.<p>I&#x27;m sorry, this is not how math works. Reals are basically defined as number. But what is a number?<p>Also the definition of Q is missing the quotient construction (or any motivation of how to deal with ka&#x2F;kb = a&#x2F;b).