Since campaigning began, the main point that Alexis Tsipras has vowed to fight for is the renegotiation of Greece's debt. Syriza wants to write off a large chunk of the public debt, most of which is now owed to other governments within the European Union. Such a policy is one Tsipras cannot tackle alone, he has stood strong in the face of European pressure during the elections, but must now do so as the country's leader, an entirely different perspective.
For several years the overall view in Europe has been that Greece would never take a gamble with the radical left party.
However, the events of the past few days have overturned many assumptions that people had with regards to Greece and Europe. Many have claimed that Syriza's leaders are preaching an impossible doctrine and that they have deluded ambitions. Now of course, the same people that have uttered those views are going to have to think about the effects this election victory might have and how real Syriza's ambitions are.
Of course, this is not a one way streak. Greeks voted for Syriza and Tsipras for one reason, the party for the first time in a long time, offered hope to the people, and hope is often all that is needed to start any sort of movement. Now, Tsipras is in power and talking will no longer suffice.
The Greek people have listened and chosen him, but he will need to meet their expectations, certainly no easy feat. Syriza too is bound to face some difficult times ahead as it comes to terms with the hardships of governing a country in deep crisis, that often feels as though it has the world against it.