Necessary and sufficient conditions in theorems

When students and professional mathematicians are asked what the difference between necessary and sufficient conditions is, they often have difficulty answering the question. Even when presented with concrete formulations of state and asked what the difference between necessary and sufficient condi...

Full description

Saved in:
Bibliographic Details
Main Authors: Edmundas Mazėtis, Grigorijus Melničenko
Format: Article
Language:English
Published: Vilnius University Press 2024-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://ojs.test/index.php/LMR/article/view/38089
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:When students and professional mathematicians are asked what the difference between necessary and sufficient conditions is, they often have difficulty answering the question. Even when presented with concrete formulations of state and asked what the difference between necessary and sufficient conditions means, the answer is not always correct. Meanwhile, these two notions are widespread in modern mathematics. This article attempts to consider necessary and sufficient conditions, hoping to increase the mathematical culture of both readers and their authors.
ISSN:0132-2818
2335-898X