no need
you said -
I apologize for my stupidity
.. only for not reading me carefully enough - intelligence or stupidity doesn't come into it IMO.
I'm not some inflated intellectual egoist (that's the hope & plan - to avoid that), just someone who likes being incisive or mentally aggressive. That last only needs even basic common sense - the spirit & passion of the curious soul .. intelligence can then be developed through training (self and/or institution) & discipline & a lot of setbacks (in my case)
.. just a diversion .. thanks.