. By considering Boolean standpoint, and Modern Square of Opposition methods, defend your answer by determining specific rules and giving the names with justification of the logical relations that hold between the following pairs of corresponding categorical statements.

• All roses are red flowers. / No roses are red flowers.
• All souls are immortal substances. / Some souls are immortal substances.
• Some people are jerks. / Some people are not jerks. 
• No Apaches are Shawnees. / Some Apaches are Shawnees.
• No emeralds are plants. / Some emeralds are not plants.
• Some people who believe in ghosts are smart people. / Some people who believe in ghosts are not smart people.
• Some radical skeptics are profoundly miserable people. / All radical skeptics are profoundly miserable people.
• No truths are statements worth dying for. / All truths are statements worth dying for.
• All atoms are physical objects. / Some atoms are not physical objects.
• Some odd numbers are numbers that can be divided by 2 (without remainder). / Some odd numbers are not numbers that can be divided by 2 (without remainder).
• Some gems are not amethysts. / Some gems are amethysts.
•  All liars are harmful people. / No liars are harmful people.