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Mathematical Emotions: Ambivalence
Notebook LM talks about this blog. 20250718 "Partly happy because it is the same as it ever was, and partly sad because it is the same as it ever was." Notebook LM talks about this blog. An intriguing phrase. A mathematical model? How would you? WHY would you? Curiosity: Binary State Model Define two emotional states: H : Happiness, triggered by “it is the same as it ever was.” S : Sadness, triggered by the same phrase. Let X be the state of the world (“it is the same as it ever was”). Then: P ( H | X ) > 0 P ( S | X ) > 0 The probability of being happy or sad, given the state X, are both nonzero. In short: Modeled mathematically, this phrase is a beautiful example of how the same input can yield multiple, even contradictory, outputs—a concept that appears in probability, logic, psychology, and philosophy. "Ambivalence" is most commonly used in psychology and everyday language to describe mixed feelings, the mathematical ...
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