专家老师：您好！

关于for all 含义，用法的疑惑：

1）马克吐温小说：原文如下：

https://www.gutenberg.org/files/3174/3174-h/3174-h.htm#ch2  《A DOG'S TALE》

When I was well grown, at last, I was sold and taken away, and I never saw her again. She was broken-hearted, and so was I, and we cried; but she comforted me as well as she could, and said we were sent into this world for a wise and good purpose, and must do our duties without repining, take our life as we might find it, live it for the best good of others, and never mind about the results; they were not our affair. She said men who did like this would have a noble and beautiful reward by and by in another world, and although we animals would not go there, to do well and right without reward would give to our brief lives a worthiness and dignity which in itself would be a reward. She had gathered these things from time to time when she had gone to the Sunday-school with the children, and had laid them up in her memory more carefully than she had done with those other words and phrases; and she had studied them deeply, for her good and ours. One may see by this that she had a wise and thoughtful head, for all there was so much lightness and vanity in it.

最后一句： for all there was so much lightness and vanity in it. - 这里的for all + 句子，是什么含义？用法？

2）对比：

有中国老师将马克吐温小说改写成：

And although we dogs would not go there，to do well and right without rewards would give our short lives worth and dignity，which in itself would be a reward.

She had gathered these things from time to time when she went to the Sunday-school with her children,and had laid those words and phrases up in her memory more carefully than ever.

And she had studied them deeply, for her good and ours. One may see from this that she had a wise and thoughtful head,

but for all there was so much lightness in it.

- 这里的but for all 中的for all 怎么分析和理解含义？用法？

3）另外，我还看到这样的而句子：

He may leave at once for all I care.

For all I care, you can throw it away.

You may go even now, for all I care.

You can go whenever you like for all I care.

He may be dead for all I know.

It might have been tomato soup for all we knew.

Richard Nixon sends me alone, cut off from communications. For all he knew, I was going to sell Alaska.

这里出现的for all I care, for all I know, for all we knew, for all he knew 中出现的for all: 又是什么含义？什么用法呢？

谢谢老师！