Your connecting and comparing 'the sixth sense' with the other five, is excellent Jason.

We all learn that some of our senses are stronger, more refined, or more important to us than the others. But few of us would believe that their weaker senses do not exist.

Our profession has created highly refined analytical tools for some purposes, while using primitive measures for the overwhelming uncertainty of the 'real' world. Probability distributions and parameters that are crude approximations, are used because they are convenient.

May allowing and accepting intuition help us see more truth accurately.

Since you drew Einstein into this, I will quote Galileo writing about Aristotle. "... he first procured, by the help of the senses, such experiments and observations as he could, to assure him as much as was possible of the conclusion, and that he afterwards sought out the means how to demonstrate it; for this is the usual course in demonstrative sciences. And the reason thereof is, because when the conclusion is true, by the help of the resolutive method, one may hit upon some proposition before demonstrated, or come to some principle known per se; but if the conclusion be false, a man may proceed in infinitum, and never meet with any truth already known."