1) Some (people) argue/claim/believe/hold that... But others set (put) forth a different argument about/oppositive views on the matter in question.
(e.g. Some claim that setting off firecrackers is a good practice of celebrating the Spring Festival. ...But others put forth opposite views on the problem. )

2) Some (people) advocate/endorse/favor/are for (或oppose/object to/are against)... Yet others stick to/hold on to/cling to the opposite views/argument/points.
(e.g. Some advocate changes intended to modernize the building code. ...Yet others hold on to the opposite views.)

3) To some people's mind/From some people's point of view/In the eye(s) o f some people, the matter in question is/seems/should be/means...But to others' mind/from others' point of view/in others' eyes, it is just/quite the other way around/contrary/opposite(或the opposite/reverse is the case/true.)
(e.g. To some people's mind, reading should be done in a selective way. ...But to others', it is just the other way around.)

4) Some (people) respond/react to...by...But others behave/act in the other direction/in the opposite way.
(e.g. Some people respond to failure by remaining inactive or avoiding it...But others behave in the opposite way.)

5) Some take the view that...And/But on the other hand, others argue for the opposite view that...
(e.g. Some are of the view that institutions mould characters. ...And on the other hand, others argue for the opposite view that characters transform institutions.)