The Subway Series is a major event in New York baseball that takes place twice a year. Every year each team gets amped up and fans go crazy for these six games. There is trash talking between Mets fans and Yankees fans, and the two teams battle for bragging rights.
But what else is there really? Yes the two teams get excited to play each other and yes the fans love it. But what impact do the Mets and Yankees have on each other? They play each other six times a year, and that's it. They are not in the same division, and they aren't even in the same league.
The truth is, as much as the media hates to see it, there is no rivalry between the Mets and the Yankees. There might be a rivalry between fans, but out on the field it's still the same game with a little more excitement.
The Yankees are not the Phillies, Braves, or hell, even the Marlins. Those games are the ones that really matter. How the Mets play and how the Yankees play have no impact on each other. Sure the media will compare the two and the Mets will always be the other team in New York, but out on the field it's just six more games played to a team not in the Mets division.
Don't get me wrong, the games are fun to watch and I enjoy the sitting down with my Yankees fan friends and trash talking each other. But there is no rivalry. The only reason this is a big event is because the hype the media puts on these games. The level of play is also under a much finer microscope because the entire state is focused on this one game; and that's a lot of media coverage.
Do you think if Castillo's dropped ball happened against the Arizona Diamondbacks it would have been made into such a big deal? Not at all. If it happened against the Philadelphia Phillies would it have mattered more? Absolutely.
Looking at the season as a whole, these are just six more games. Of course they want to win these game, like they should every game, but it really doesn't have a big impact on season or the standings.
These Met/Yankee games are fun. But to suggest that there is a rivalry between two teams that play each other six times a year, and are in different leagues, is a ridiculous thought.

Hisanori Takahashi started the game and pitched outstanding. He threw 101 pitches in six innings of work, giving up no runs on five hits, one walk, and five strikeouts. He pitched great, keeping the Yankees off balance all night, and working out of jams in the third and fourth inning.
In the ninth inning Mo "The Best Pitcher Ever" Rivera came in and got the first two out. Bay then hit a double off The Great Wall of Flushing, a ball that would have been a home run in most ballparks. Davis then doubled to right center field, to score Bay from second. Wright then came up and swung at the first pitch, and grounded out to the second baseman to end the game.