[aposiopetic]

Could it be that the fault lies in our own arrogant preconceptions? Nah, couldn't be...

Of course not. Everything that can be known can be known through our senses. Including the truth [whatever that is] of that proposition itself :)

[Physicist]

Everything that can be known can be known through our senses.

How do we sense the non-factorability of the 100th Mersenne Prime? Or isn't that knowable?