Two Crosses One Way, Liberty & Responsibility in Christian Ethics

In Light of the New Covenant which Jesus established what are the dogmatic beliefs that are non-negotiable, and what is the difference between Christian Liberty and Christian Responsibility?

We look at the essentials and then begin to break down the Shoulds and the Oughts.
‎Here lies the problem, how do we live that out in the light of adiaphora.
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‎Every Christian has to deal with areas in the daily Christian life that are affected by the process of living.
‎This is why it is so important to learn the Biblical Principle of Balance.
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‎There are going to be area's that are not essentially Christian doctrine or dogma. There will be opinions about what is good, better or best.
‎This leads us into a discussion of Shoulds and Oughts.
‎‎Things which we should or should not do.
‎Things which we Ought or Ought not do.
‎So what is the difference between a should and an ought?
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‎A "should" is an opinion about that which a person "Ought" or "Ought not" do.
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‎An "Ought" indicates obligation, duty, or correctness, in a legal sense.
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‎In other words, when we say a person Ought to obey the law, we are making a moral claim.‎
‎But if I declare that a person "should" do something, that may or may not force the person into something they "Ought" to do.