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

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