You've avoided parts of my question. When have we ever knocked out any of those teams? And you think we will this season?No you can't. Do you even understand basic statistical analysis? The Universe may be infinite.. Arsenals chances of Winning the Champions League are not.
The odds are currently at 28/1. - we were priced at 15/1 before our last two losses.
I should probably add Liverpool were priced at 33/1 the year they won the Champions League. By Half time against AC Milan in the final those odds had dropped to 100/1 - Yet they still won it.
Weaker teams than ours have won this competition.
And you're being pedantic anyway. Of course there's a chance Arsenal could win the CL this season. There's also a chance that Cheryl Cole will walk into my work tomorrow stark naked and ask me for a threesome with her and Scarlett Johansson. There both about as likely to happen. The odds are so infinitesimally small that you can pretty much assume they won't happen.
If you're going to base your blind hope of Arsenal winning things on the statistical fact that they have some sort of chance of winning it, while completely ignoring how close to 0% that chance is, then you go for it. But don't accuse those who aren't so myopic of being non-Arsenal fans.