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I think that a purpose of an apology is to show that you are being sincere and that you regret what you have done, you are trying to make up for what you have done, and assure that the person affected is fine after the incident. In this scenario, we see that Arthur had an apology, however it was not sincere and he immediately refused to continue with the apology, saying that he is "sorry, but..." which illustrates that he is just apologizing for the sake of doing so. The "But" Shows that he is not convinced with what the inspector said, and rejects the apology, probably since he does not seem to take any blames, and will never plead guilty, he cannot claim he is wrong so he doesn't take the apology.

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"I'm sorry but..." is such a rejection of an apology because you are trying to defend yourself or justify what you did when you should just take responsibility and know that you are wrong. Adding the 'but' makes the apology insulting and almost dismisses it as an apology.

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I feel that the words “I’m sorry but...” is a complete rejection of apology. The use of sorry is probably just used as a polite façade to how they actually feel. The ‘but’ nullifies the actual apology and gives way to whatever point the speaker is trying to prove

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Mr B's 'apology' comes across very half-hearted, and not genuine. His use of the word 'but' shows how he's trying to justify his wrongdoing, which again reminds us of how egoistic he is, by never taking the blame and acknowledging his mistake. Him disregarding the apology, by using the term 'but', almost takes away its role of being an apology, and makes it sound more insulting.

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Green- Saying ‘I’m sorry but’ removes the whole point of an apology, rather than admitting you did something wrong it’s coming up with an excuse to make yourself look better. The focus of the sentence is on the ‘but’ part of it, pretty much ignoring the apology and not fully admitting your in the wrong.

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Green
'i'm sorry but,' although you are providing an apology, it does not seem to be truthful since you go on and contradict what your apology is about; it shows that you do not fully agree with what the other person is saying and therefore do not feel like your apology needs to be sincere.

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Green - The saying ' I'm sorry but' means that you are asking for forgiveness but you aren't completely accepting that you are wrong because you said 'but'. That is why many people get angry when people say this

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Green - The phrase "I'm sorry, but..." is a rejection of an apology because of the way it starts with the acceptance that you are wrong and taking responsibility. However, the "but" shows that the person is going to defend/justify themselves and their actions, which takes the responsibility away from themselves.

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Green
'But' is offensive because even though you have accepted you are in the wrong, you are still trying to defend yourself. The but nulls the whole apology and in fact, some people may take it as a contradiction and get offended by it. This is the opposite of a apology. it shows that you are not fully accepting that you are in the wrong and still think that the other person is in the wrong. This makes the other person think that you still think they are in the wrong and might not accept your apology.

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Green:
'I'm sorry but...' is a rejection of an apology because the 'but' indicates that the person is not actually sorry. Instead, they are being defensive and trying to defend themselves by insinuating that they are not in the wrong, rather than owning up and taking responsibility for their mistakes, making the apology insulting.

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Green - I'm sorry but is an oxymoron because even though you are apologising, you are immediately backing it up with a word that tries to push away the accusation; saying that they have nothing to do with what has been said of them. So when Mr Birling says I'm sorry but, he is trying to say that the inspector is completely wrong and almost attempting to show that what has been accused of him is completely absurd and he had nothing to do with Eva Smith's suicide, pushing away the blame.

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Green
I feel like 'I'm sorry but' is a rejection of an apology because it starts with acceptance; the 'but' part would be a way to reject the original sorry and create reasons as to why you didn't commit the crime. You would be contradicting yourself buy apologizing, but then continue to explain why you didn't commit the crime. I think the addition of the but part is to softly add some reasoning, rather than completely rejecting the accusations; an attempt to control the situation in a way.

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green
I'm sorry but takes the responsibility away from the apologiser. He is saying 'i'm sorry' a sentence that means you are taking responsibility for your actions. however by saying but, you then take responsibility from yourself away, trying to find a reason or external motion that could've caused a situation or actions

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Green - The phrase "i'm sorry but..." isn't really an apology because when they add "but..." it shows that they are about to defend themself, trying to take the responsibility away from themself. The fact that they added the  "but..." to the end of their apology removes the whole purpose of apologising, as they are still trying to defend themself.

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Green:
The phrase "I'm sorry but..." is a massive rejection of an apology, as the main focus of the sentence is no longer the "I'm sorry", but it is the rest of the sentence after that. This completely nullifies the effects of apologizing, and the apology would not have an effect on the person who recieves the apology. It would be more likely to cause more insult.

Purple:
This links to AIC, as Mr B didn't care about the woman known as Eva Smith's death. The quote "Yes, yes. Horrid business. But I don't understand why you should come here, inspector -" shows that Birling does not care about the death of Eva Smith, but cares more about the reason the inspector is visiting the household. Another way to rewrite the quote is "I'm sorry about the death of Eva Smith, but why are you here?"

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Green:
The phrase "I'm sorry but..." is one that completely disregards the purpose of an apology and tries to turn it on its head. By apologising for something, you accept responsibility for your actions and that it is your fault, however by adding "but" at the end, you reject that notion and assume a defensive stance, as if you know they expect an apology, but you absolutely refuse to give you a proper one because they refuse to accept responsibility.

Purple:
The idea of an apology links to An Inspector Calls because of how Mr Birling fails to do just that. Throughout the opening act, he refuses to apologise for any of his actions or take responsibility for them. This becomes clear to the audience with how many problems are linked to Birling and how many he causes in real time but doesn't apologise for. Time after time we see openings for apologies and time after time we see Mr Birling and even Gerald (who mirrors Mr Birling in that sense) avoid apologising.

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Using 'but' in an apology is a rejection because, you are then taking the blame away from yourself. It could further anger the person because it becomes more of an insult and you're trying to contradict what you said

Pink - It is important to apologise because it shows the other person that even if you did something accidentally, you feel bad. It can also make you feel better since you let out the guilt. It's a way of saying that you will try to do better in the future and not make the same mistake.

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green - "I'm sorry" is a way of apologizing, but when he adds "but" he is contradicting what he said earlier about being sorry and completely removes the whole point of an apology; which means that Mr Birling believes he is right, that he thinks that he shouldn't be sorry for what happened and that he doesn't believe he could have been a cause to her suicide.