“A mental state with respect to a situation composed by multiplying two situations equals the sum of mental states for each situation. A mental state with respect to a situation composed by dividing two situations equals the difference between mental states for each situation.”
So explain professor Changsoo Shin and colleagues at the Department of Energy Systems Engineering, of Seoul National University, South Korea. The team employ Heaviside step functions (θ) applied to parallel universe theories to explain why each person has different thoughts in a particular situation – for example in a situation such as when Jane, Paul, and Bill met a stray dog when they were out walking together – see table 2 below.
“Jane showed no interest in the dog because she has no meaningful experience related to a dog. Paul said that the dog is cute because he grew up with several pet dogs. On the other hand, Bill tried to stay away from the dog because a stray dog had bitten him during childhood.”
The paper also applies θ to explain remembering and forgetting – for full details See: ‘Unresolvable human mental states based on a parallel universe theory’ in: arXiv Journal-ref: Advancement and Developments in Applied Mathematics 1 (2012) 18-29.
Also see, from professor Shin : Is God dead? – the math(s)