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

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