Many mathematicians have similar attitudes. The general philosophy is know as Constructivism[0]. Broadly, the idea is that we should only consider mathematical

Many mathematicians have similar attitudes. The general philosophy is know as Constructivism[0]. Broadly, the idea is that we should only consider mathematical objects that we can actually "get our hands on". [0] https://en.wikipedia.org/wiki/Constructivism_(mathematics) https://en.wikipedia.org/wiki/Constructivism_(mathematics)