I've published a new article on Scholardarity, A Primer on Logic: Part 4.1, the latest installment of my introduction to formal logic. In it I address some preliminaries to Predicate Logic.
Also,
  in case you missed Parts 1, 2, 3, and the Interlude, which respectively cover   
logical  preliminaries, propositional logic, Aristotelian logic, and the inadequacies of Aristotelian logic, you
 can  check them out   here:
Part 1 
Part 2
  
Part 3
Interlude 
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