Similarly, you may ask, what do the white and black squares mean in The Witness?
Black & White Squares
The edge of the grid counts as part of the "wall" you're drawing. Squares don't have to be paired with all the squares of their same color, meaning it's okay to isolate them by themselves if necessary. Squares just can't occupy the same space as a different color.
Likewise, what do the stars mean in The Witness? These puzzles feature starbursts that share the same color as one of the dot sets. If there are enough starbursts to form a pair, then they cannot be grouped with dots of the same color. However, if there is only one starburst, it must be paired with at least one dot of the same color.
Secondly, what does the ending of The Witness mean?
A rather literal way of saying that the value of The Witness is in the journey, not the end – that figuring out these puzzles doesn't give a single concrete Truth. This ending says that what's important isn't the 'meaning' of the puzzles, but what one can take outside of the game into real life.
What does the black and white square mean?
Now I found in Mathematical Logic for Computer Science by Mordechai Ben-Ari that black square is used to indicate the end a proof and white square to indicate the end of an example/definition.