infinite_series_when_the_sum_of_all_positive_integers_is_a_small_negative.html

infinite_series_when_the_sum_of_all_positive_integers_is_a_small_negative.html

6/29/2014

link

http://www.slate.com/blogs/bad_astronomy/2014/01/17/infinite_series_when_the_sum_of_all_positive_integers_is_a_small_negative.html

summary

This blog post from Slate's Bad Astronomy explores the concept of infinite series and the surprising result that arises when summing all positive integers. The post discusses the famous paradox known as the 'sum of all positive integers equals a negative fraction' and explains how this seemingly counterintuitive result is derived mathematically using a technique called regularization. It goes on to explain the significance of the result in the field of mathematics and highlights the importance of rigorous mathematical reasoning. Overall, the post offers a fascinating exploration of a counterintuitive mathematical concept and its implications.

tags

mathematical logic ꞏ mathematical proofs ꞏ mathematical patterns ꞏ mathematical properties ꞏ mathematical insights ꞏ mathematical puzzles ꞏ mathematics education ꞏ mathematical reasoning ꞏ mathematical thinking ꞏ number systems ꞏ number sequences ꞏ mathematics philosophy ꞏ paradox ꞏ divergent series ꞏ sum of positive integers ꞏ mathematics history ꞏ mathematical formulas ꞏ mathematical concepts ꞏ infinite series ꞏ mathematical discoveries ꞏ mathematics ꞏ number theory ꞏ mathematical equations ꞏ mathematical paradoxes ꞏ mathematical computations