- No one ever considers leaving their respective cities unless forced on an adventure.
- There's a suspicious lack of ponies outside the settlements.
With all this taken into account, we can presume the cities are the last remaining vestiges of each race and fled there after the war to protect themselves. This continued on for so long that everyone forgot there was a war and stayed there out of tradition and cultural habit.
However, two know about their history. Spike says upon meeting Rarity that she was far from home and it's interesting that he should know what a unicorn is when no one else did. However, it makes sense considering his sleep lasted a thousand years, so a time before the war.
The other is Kimono. As the resident wisest pony, it would make sense for her to have tales and legends about her history passed down over the generations. Not to mention that her toy mentions knowing of tales when unicorns roamed the forests of Ponyland, which is the name given to the ponies' home in G1.
- Nice, you just predicted the premise of Generation 5.
- The intro of Newborn Cuties shows Pinkie Pie looking at a photo album of her and her friends when they were babies though.
- Sure. Everything has changed, all with the Core 7 and generation 3.5 semi-reboots. (Oh, should we count New Born Cuties?)
- Isn't it canonically set when the Core 7 ponies were foals? At least the toys were supposed to. That doesn't explain the lack of adults, why everyone looks like a foal, or why there's a mayor so young.
None of the ponies have a known "royal family", which means no line of succession, and no monarchy (unless they decide to establish an actual line). Wysteria was chosen as princess because of a magic flower, and nobody knows what "family" Rarity came from (Cheerilee, Brights Brightly, and Whistle Wishes are pretty ambiguous on whether or not they're actually Rarity's older sisters or just her ladies-in-waiting). So they are technically "presidents", but live in a castle and have a nobility title cosmetically, because no little girl would see a "pony republic" as appealing.
She does have a verbal tic, which is whistling. This could be a sign that she has the syndrome.