I think that if there are positions that you can't argue... then the responsibility is probably to resign. If one's own conscience is opposed to the requirements and responsibilities of the job, then it's time to leave the job.
Interpretation
It's important to align your job with your personal ethics; if you can't, it's best to resign.
Elena Kagan expresses the idea that individuals have a moral responsibility to be in roles that align with their conscience. If someone finds themselves unable to reconcile their personal beliefs with the requirements of their job, it is a sign that they should step away, as continuing in such a position could lead to personal conflict and a failure to fulfill their ethical obligations.
In practice
During a company meeting about ethical standards, one might use this quote to highlight the importance of aligning personal beliefs with professional conduct.
I owe a debt of gratitude to two other living Justices. Sandra Day O'Connor and Ruth Bader Ginsburg paved the way for me and so many other women in my generation. Their pioneering lives have created boundless possibilities for women in the law. I thank them for their inspiration and also for the personal kindnesses they have shown me.
To have the opportunity to lead the Solicitor General's office is the honor of a lifetime. As you know, this is an office with a long and rich tradition, not only of extraordinary legal skill but also of extraordinary professionalism and integrity. That is due, in large measure, to the people who have led it.
American radicals cannot afford to become their own worst enemies. In unity lies their only hope.
When the Senate ceases to engage nominees in meaningful discussion of legal issues, the confirmation process takes on an air of vacuity and farce, and the Senate becomes incapable of evaluating nominees or appropriately educating the public.
If there is an ‘overabundance’ of an idea in the absence of direct governmental action - which there well might be when compared with some ideal state of public debate - then action disfavoring that idea might ‘un-skew,’ rather than skew, public discourse.
It's not that there are no masters, but that there are many. And the job of the solicitor general is to balance those masters and to accommodate them all, each in their proper places, wisely and well and in so doing to represent the people of the United States.
To think that before the hills were formed, or the channels of the sea were scooped out, God loved me; that from everlasting to everlasting His mercy is upon His people. Is not that a consolation?
In the dark colony of night, when I consider man's magnificent capacity for malice, madness, folly, envy, rage, and destructiveness, and I wonder whether we shall not end up as breakfast for newts and polyps, I seem to hear the muffled cries of all the words in all the books with covers closed.
This is sweet to see your foe, perish and pay to justice all he owes.
It is an anxious, sometimes a dangerous thing to be a doll. Dolls cannot choose; they can only be chosen; they cannot 'do'; they can only be done by.
Who knows for what we live, and struggle, and die?... Wise men write many books, in words too hard to understand. But this, the purpose of our lives, the end of all our struggle, is beyond all human wisdom.
God does not know whether a skin is black or white, He sees only souls.
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