Mantiq is the Arabic equivalent of "logic". It points to the practice of defending the tenets of Islam through rational argument.

Logic (Mantiq) – This book is designed in order to ensure that students are not deprived of the knowledge of terminologies that the Qur’an commentators have used. Usually in the Alimiyyah course a guide on Mantiq for beginners is taught before Mirqaat. However many students fail to understand the topics covered in these books.  

Al-Jami’ li’Ilm al-Mantiq covers almost 90% of mirqaat using tables and flowcharts format which should make it easier to learn an teach.