Alexis Sanchez may be the best player in the Premier League
That's high praise, but Arsenal forked out £32m to sign the Chilean with the idea of him being the difference in attack for them. So far, he's repaying that outlay. Sanchez was influential throughout today, scoring another two goals but also creating chances for his team mates and working hard throughout. He's providing Arsenal with the star power needed to win games that the Gunners have previously struggled in.
Nacho Monreal isn't a centre back
This isn't so much something that we learned, but rather something that was reinforced. With injuries in defence, Monreal has been forced to play at centre back, a position he has rarely featured in - and today, it showed. The pae of Burnley duo Danny Ings and Marvin Sordell caused problems all afternoon on the counter attack, and whilst the Clarets couldn't capitalise, Monreal was left trailing too often.
Santi Cazorla continues to struggle
With no goal since January, Cazorla is having real issues in front of goal. The Spaniard fired another blank today despite having a number of chances, and actually didn't offer much outside of that either. Lukas Podolski came on and offered more, and amid rumours of interest from Atletico Madrid, Cazorla needs to improve soon or risk being sold in January or next summer.
Playing two holding midfielders against lower opposition is redundant
Burnley have offered a threat on the counter but with Mathieu Flamini and Mikel Arteta both playing reserved holding roles, there was nobody breaking forward through the centre of midfield, leaving Sanchez to occupy a number of different roles. In games against lesser opposition, playing someone like Aaron Ramsey may be better, and would have made Arsenal even more dominant.
Arsenal are starting to click
It's taking a little longer than anticipated, but Arsenal are finally looking like a top side. The late shows against Hull and Anderlecht seem to have spurred the Gunners on, and with two successive clean sheets and Sanchez in fine form, things are starting to click - without Mesut Ozil. Make of that what you will...