Okay, imagine we want to keep track of time and know what day it is. A long time ago, people would look at the sky and the moon to figure out when a month had passed, or how many times the moon had gone around the earth. They would do that for a whole year and determine how many days were in it. However, they soon found that trying to keep track of years using the moon phases was not entirely accurate, so they came up with something called a calendar, which is a system for dividing time into years, months, and days.
Now, a long time ago, many calendars were created which were different from each other. For example, in ancient Egypt, they had a solar calendar that depended on the movements of the sun. Meanwhile, in ancient Rome, they had a lunar calendar that depended on the movements of the moon. However, over time, a new calendar called the "Gregorian calendar" was developed. This calendar is named after Pope Gregory XIII, who introduced it in 1582.
The Gregorian calendar is different from other calendars because it takes into account the exact length of a year, which is around 365 and a quarter days. Therefore, it adds one extra day (a leap day) every four years to keep up with the natural cycle of time. However, this calendar only works from the year 1582 onwards. So, if we want to use the Gregorian calendar to determine the date for an event that occurred before 1582, we need to add or subtract days that would make up for the time gap. This process is called "proleptic Gregorian calendar," which means using the Gregorian calendar for a period before it was introduced.
In simpler terms, it's like pretending that a new calendar was already in place before it was actually invented. It's not entirely accurate, but it allows us to keep track of what day it is for events that occurred before the Gregorian calendar was introduced.