That is one fine essay -- yes "it is a matter of seeing differently". I love how you point out that science is more like sociology there is a herd mentality.
For example "Your new theory disagrees with our current theory which we know is incomplete yet we will dismiss your new ideas out of hand" ISN'T that the problem -- we know we don't know yet we know enough to say it isn't your ideas that are correct -- a bit circular since they cannot really know what is "the problem" in the first place.
Thank you for reading my essay and you identify the problem here it is maths that is wrong not so much are intuitions in this case.
I feel intuitions come from our evolutionary past and the categories that "our minds" have imposed on "nature" or what is out there.
A fabulous read well done. I have scored you very highly indeed since you made me think a lo. Harri