Mathematicians Bridge Finite-Infinite Divide

Mathematicians Bridge Finite-Infinite Divide

8/16/2017

link

https://www.quantamagazine.org/mathematicians-bridge-finite-infinite-divide-20160524/

summary

In this article, mathematicians discuss their efforts to bridge the divide between the finite and the infinite. They explore the concept of infinity and how it has historically challenged mathematicians. The article highlights the work of several mathematicians who have made significant contributions in this area, including Maryanthe Malliaris and Saharon Shelah. Malliaris and Shelah's work involves understanding the properties of large sets of mathematical objects and finding ways to generalize results from finite mathematics to infinite structures. The article delves into the challenges, breakthroughs, and implications of their research in bridging the gap between the finite and the infinite.

tags

mathematics ꞏ infinite ꞏ finite ꞏ mathematical concepts ꞏ number theory ꞏ mathematical objects ꞏ mathematical proofs ꞏ mathematics research ꞏ mathematical exploration ꞏ mathematical boundaries ꞏ math theory ꞏ mathematics philosophy ꞏ mathematical infinity ꞏ mathematical finitude ꞏ mathematics history ꞏ mathematical principles ꞏ mathematical structures ꞏ real numbers ꞏ integers ꞏ rational numbers ꞏ irrational numbers ꞏ mathematical analysis ꞏ mathematical reasoning ꞏ mathematical precision ꞏ calculus ꞏ mathematical limits ꞏ mathematical notation ꞏ mathematical models ꞏ mathematical equations ꞏ mathematical paradoxes ꞏ mathematical puzzles ꞏ mathematical abstraction ꞏ mathematical discoveries ꞏ mathematical beauty ꞏ mathematical patterns ꞏ mathematical thinking ꞏ mathematical foundations ꞏ mathematical ideas ꞏ mathematics education ꞏ mathematics problem-solving ꞏ abstract mathematics ꞏ applied mathematics ꞏ mathematical universe ꞏ mathematics exploration