Moral attitudes are individual attitudes towards moral problems whereas political attitudes are individual attitudes towards political issues.
Attitude is all about your likes and morals and about what’s right or wrong (or what society thinks as). So Moral Disposition is the stance against social problems (where society is arguing what’s right or wrong).
For example – what is your attitude towards Euthanasia (mercy killing)? Do you think it as right?
There are many moral issues at the moment – reproductive cloning, surrogate childbearing, abortion, sex selection, pornography, prostitution, dance bars, euthanasia, the death penalty, homosexuality, live-in relationships, incest, divorce, honour killing, consumerism, personal weapons ownership, gambling, prohibition, etc. Your attitude to these matters falls within the broad category of a moral attitude.
The stance you keep about political problems or ideologies is political attitude.
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