As the french historian Max Gallo said : "La Turquie, ce n'est pas l'Europe. L'histoire à cet égard est sans appel." "Turkey it's not Europe. On that account, history is non-appealable".
Mr. Giscard d'Estaing also had similar opinions. However, Turkey is extremely similar to Western Europe, in some ways far more than the former Soviet bloc countries of the EU 10.
However, Europe's history does make Turkey seem very much part of your continent.
P.S. in France, are the Americas split up into North and South America, or a both continents considered one? it would be absurd for that to be the case and Europe and Asia to be two separate continents. North and South America are as separated as Eurasia and Africa.