Or economically.
In which case you might also want to ask how Russia can afford that.
The country is almost bankrupt and depends on us buying its gas. On the other hand we depend on Russia delivering said gas, especially during winter. And that's just one area of trade and business cooperation. If Putin attacks Latvia or Estonia and doesn't even hide it, he attacks the EU and then we either do something or risk the EU completely falling apart. If there were to be an actual war between Russia and the EU, I'd guess all bets are off. Whether the British would just want to sit there and do nothing, EU membership or not, is a debatable question and Poland has quite a sizeable army, too. It's not just France and Germany, especially Poland would probably want to stop Russia sooner rather than later.
But that war is not just a military thing, because what happens after it? Imagine Putin wins and the armies of Germany, France, the UK and Poland plus a few others are all in shambles. Then what? He probably just lost all income from trade with the EU, his army probably took an enormous amount of losses and several EU countries such as Greece, Italy, Netherlands, Belgium, Czechoslovakia, Sweden, Norway, Finland, Spain, Portugal are still left with their armies. Does he go on and conquer more or just wait until the hurt kicks in because he just lost his biggest trade partner and made 500 million people very angry? http://www.bbc.com/news/world-europe-26436291
Also consider the scenario where the EU actually does stand together and Russia is not the superpower it once was anymore, the armies of Europe combined would not only rather large in size, but also comparatively more modern and actually quite varied. In a scenario where the EU would actually fight back I don't quite see what Putin could gain, especially since even Trump may get into trouble for just watching that from a distance.
The other option is that the EU falls apart and we start WW3 sooner or later. The End.
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