Schema of Categorical Syllogism

Question 1

All boxers are athletes
Some athletes are businessman
Thus, some businessmen are boxers

Answer 1

Pu + Mp
Mp + Sp

…Sp + Pp

Question 2

All bankers are businessman
Mr. Cruz is a banker
Therefore, Mr. Cruz is a businessman

Answer 2

Mu + Pp
Su + Mp
…Su + Pp

Question 3

All traditional politicians are power brokers
Some local executives are traditional politicians
Therefore, some local executives are power brokers

Answer 3

Mu + Pp
Sp + Mp

… Sp + Pp

Question 4

Some philosophers are not believers of god
All believers of God are hopeful
Therefore, some hopeful persons are not philosophers

Answer 4

Pp - Mu
Mu + Sp
… Sp - Pu

Question 5

All roses are flowers
Some plants are not flowers
Ergo, some plants are not roses

Answer 5

Pu + Mp
Sp - Mu
Sp - Pu