system
Given the following post, respond as if you're commenting on Reddit:
human
What does Derrida mean by possibility and impossibility?

I was reading Stanford's page on him, specifically the section on justice. I understood that justice is never to be found in the present, and even then, justice must involve injustice since one cannot hesitate and wait for all info if one wishes to make a just decision.

The section ends by saying that justice is impossible, it is perhaps the impossible, and so it is necessary to make justice possible in countless ways.

That seems noble, but I think I missed how the writer got that conclusion. I think it's because I don't understand Derrida's conception of possibility enough, since it said earlier that his version of possibility is complicated.
gpt
One way to answer this would be to say that Derrida doesn't mean anything else than the plain senses of the words: impossibility means necessary non-existence, possibility means not necessary non-existence. 

Another way would be to explain *why* Derrida thinks justice is impossible. It's impossible because it is unconditional, immeasurable, incalculable, infinite, whereas we and the world we live in is by definition conditioned, measured, calculated, finite. (Thus Derrida will also describe unconditional hospitality, unconditional forgiveness, unconditional gift-giving, etc. as impossible or the impossible, and as more or less synonymous with justice). 

Does that clear it up at all?