Let’s learn about "조목조목" from Newspapers of Korea Economy

1. A의 주장을 조목조목 반박하며... means "refute A's argument one by one".

1) 반박[反駁]하다 : (formal) refutation, (formal) rebuttal, (formal) refute, (formal) rebut

2) 그는 나의 이론을 정면으로 반박했다 : He refuted my theory head-on. / He rebuted my theory head-on

2. B의 주장을 조목조목 따지며... means "argue about B's arguments one by one"

1) 따지다 : 

(1) [=캐묻다] nitpick, quibble over

- 시시콜콜 따지지 좀 마라 : Don't nitpick.

(2) [=계산하다] calculate

- 비용을 따지다 : calculate the cost (of)

(3) [=잘잘못을 가리다] determine, figure out; [=논쟁하다•언쟁하다] argue about

- 누가 잘못했는지 한번 따져 봅시다 : Let's figure out who's to blame here.

2) 논쟁[論爭]하다 : have an argument; dispute (about/over), argument (about/over), controversy, argue (about/over), have an argument (about/over)

- 논쟁에 끼어들다 : enter into[join in] a dispute

3) 언쟁[言爭]하다 : quarrel, argument, dispute; bickering, squabble

- 언쟁을 벌이다 : argue[quarrel] (with/about/over)

4) 조목조목[條目條目] : one by one

- 조목조목 따져 보다 : examine[check; figure out] sth one by one

5) 주장[主張] : [=의견] opinion; [=고집] insistence, assertion, (formal) contention; [=논점] argument; [근거가 없는] claim, insist, assert (that), argue, (formal) contend (that); [근거 없이(without proof)] claim

- 타당한 주장 

a rational argument

6) 주장[主將] : [운동경기(sports game)] captain, leader

- 나는 팀의 주장이 되었다 : I became the captain of our team.