A very basic question: can the null set be the domain of a function?

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The discussion centers on whether the domain of a function can be the null set. It questions if a function must have a non-empty domain by definition. Participants explore the implications of defining a function from set A to set B when A is empty. The concept of the empty function is referenced, indicating that a function can exist even if its domain is empty. Ultimately, the consensus is that while a function can be defined with an empty domain, it may not align with traditional expectations of function behavior.
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In other words, is the domain of a function by definition non-empty? (If I define a function from A to B should I take care to ensure that A is non-empty?)
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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