The Measure of Complexity

“Would you agree,” Pablo asked, “there are some simple problems that most people can easily solve?”

I nodded, “yes.”

“And, would agree that as problems become more complex, some people struggle?”

Again, I nodded, “yes.”

“So, how do we measure the complexity of any decision, the complexity of any problem?”

“I suppose,” I started, “it would have to do with the number of variables in the decision, difficult enough for those variables we know about, even more so for those variables we do not know about.”

“And, how would you define a variable, start with one we know about,” Pablo prompted.

“A variable would be something we anticipate, and we don’t know for sure which way it’s going to go,” I replied.

“Like the weather,” Pablo stated. “We anticipate it is going to be cloudy, but we don’t know for sure if it is going to rain.”

“Yes,” I said, not sure where Pablo was taking me.

“And, how do you know it’s cloudy?” he asked.

“I looked outside, no sunshine. Observable, visual evidence, I can see it.”

“But, you don’t know if it is going to rain? Do you take an umbrella?”

“I suppose I might. A minor annoyance if it doesn’t rain, and a handy thing to have if it does,” I assumed it was a smart response.

“So, in the face of uncertainty, you make a decision based on something that is observable right now. Would you make the same decision a half-hour from now?” Pablo baited.

“It looks pretty cloudy, I believe a half-hour from now, I would still take an umbrella,” I hedged my bet.

“So, in a short timespan, you believe you have enough evidence, in spite of the uncertainty, to make a decision to take an umbrella?”

I nodded, “yes.”

“How about a week from now?” Pablo’s eyes shifted and he grinned.

“Well, who knows, a week from now if it will even be cloudy, much less rain?” I asked.

“So, one week from now is less certain than a half hour from now?”

Again, I nodded, “yes.”

“Is it possible to measure the uncertainty of any decision using timespan?” Pablo stopped and rested.

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