Great post! thanks to say it shortly...
I will only add that economy is a pyramidal control chain explained long ago by Bernard Mandeville...
( For the anecdote the inventor of cancer drug "snake oil" first original product method is the father of the first Rockfeller, the con artist William Avery "Bill" Rockefeller called "devil Bill", who educated his son in his own personal "economy" theory and Rockfeller history after that was key moment in the personal education of Bill Gates in alleged "philantropical economy" theory and they called their globalistic control method : Gates and Rockfeller foundations; this anecdote resume almost modern economy save for the banking system which is another story explained by the bank of international settlements history after world war one)
Logic is a mess in most brain because almost nobody can even figure out Aristotle tool value and his limit explicitly understood by Aristotle himself...His logic is related to his metaphysic and not reducible to any abstract formalization at all...
The working brain must work with logic yes but at a level way over logic to be effective in his reach...
Logic cannot teach us how to see a flower....And like Goethe demonstrated in his marvellous book about plant dynamical morphology, most people had never SEEN a plant and they are even not conscious of this fact for the rest of their life...Classifying something with a name by programmed HABIT is not an active perceptive seeing experience....
It is the same for acoustic: applying an equation will not solve a small acoustic room problem sorry...You must "see" the room and take the necessary listening experiments to solve the problem and tune the room...
Economics is what the super-rich tell the Government what it is ! NO JOKE ,
My first year at Uni I took both Econ 101 and Logic 101 .
I was going nuts as one totally made the other a lie .
Went up to Econ Prof and told him my thoughts .
He looked at me for about a minute and nicely said to me , ": Yes, Econ is a mess but one decided upon " .