What is the method for comprehensively studying Islamic creed, bearing in mind that reading specious arguments and their rebuttals reveals new matters concerning Islam and Islamic history?

Continuing to study and seek knowledge, and asking Allah Almighty for an increase in it, is the solution. For Allah commanded His Prophet to do so: "And say, 'My Lord, increase me in knowledge.'" And what the questioner discovered, matters he was ignorant of when reading responses to doubts, is not strange. For Imam Al-Shafi'i said: "The more time educated me... the more it showed me the deficiency of my intellect, and the more I increased in knowledge... the more it increased my knowledge of my ignorance." And Allah Almighty said: "We raise in degrees whom We will, and above every possessor of knowledge is a knower." Knowledge has no end, and the student of knowledge's habit is to seek more. For Imam Ahmad said: "With the inkwell to the grave."