Can Modal Logic Unify with Topology, Complex Analysis, Probability and AI?

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The discussion explores the potential for unifying modal logic with fields like topology, complex analysis, and probability to advance artificial intelligence. It questions whether modal logic can be translated into computer language to create genuine AI and its applicability to Shor's algorithm and quantum encryption. Participants seek clarity on the definition of modal logic, emphasizing its focus on necessity and possibility. The conversation highlights a gap in current research on integrating these diverse fields. Overall, the thread raises intriguing questions about the intersection of logic, mathematics, and technology in AI development.
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How do we unify modal logic with topology or perhaps complex analysis/probability&random variables?

Provided the principles of modal logic, is it possible to translate philosophy into computer language and create the real AI?

Is it possible to apply modal logic to Shor's computational algorithm? How about quantum encryption? Is anyone doing any research on this field?
 
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Huh? What do you mean by modal logic? The logic that deals with necessity and possibility (modalities)? What does that have to do with complex analysis or topology?
 

Thread 'Area of Overlapping Squares'

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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