At risk of getting drawn in too far when I should be doing other things (which I suspect is the real objection), what are "issues 1 and 2 in Section 2".....?
On a quick look-back, I think it is here:
“For example, when someone proves that the number √ 2 is irrational, i.e., that it is not a fraction, this particular piece of knowledge, as well as the methods that produced it, lead to two important conclusions, one general and one specific: (1) Mathematics does not in principle depend on sensory experience. (2) Incommensurability gives support to the idea of infinite divisibility of line segments.”
[My brain is becoming creamed corn at this point. Never great even at the maths that I had to know and apply in economics.
]
____________________________
Note: I used the example of π rather than the √ 2. Both are irrational numbers (as is e). The reason I latched onto π is that I think it is useful to be able to estimate the circumference of a circle, even if there is no "perfect" circle.