🧐The widely shared belief that 1+2+3+... sums to -1/12 is incorrect
🤯The Numberphile video made incorrect calculations based on an incorrect assumption
✅The correct definition for summing an infinite series shows that the sum is infinite, not -1/12
💡Super summing can assign a value to some divergent series, but not all
🔍Super summing is a proper extension of normal summing, but has its own unique properties
Why do people believe that 1+2+3+... equals -1/12?
—The belief comes from a widely shared Numberphile video that made incorrect calculations and assumptions
What is the correct definition for summing an infinite series?
—The correct definition assigns a sum to a series only if it converges to a finite limit
What is super summing?
—Super summing is an extension of normal summing that assigns a value to some divergent series
Can super summing assign a value to any divergent series?
—No, not all divergent series have a super sum
What are the properties of super summing?
—Super summing is consistent with adding, shifting, and termwise multiplication by numbers
00:00Introduction to the video content - debunking the belief that 1+2+3+... equals -1/12
05:51Explanation of the correct definition for summing an infinite series
10:47Introduction to the concept of super summing as an extension of normal summing
15:18Demonstration of super summing on selected divergent series
20:17Discussion on the limitations and properties of super summing
