Necessary and sufficient conditions in theorems
Articles
Edmundas Mazėtis
Vilnius University
Grigorijus Melničenko
Vytautas Magnus University
Published 2024-12-10
https://doi.org/10.15388/LMD.2024.38089
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Keywords

theorem
conditions and conclusions of a theorem
necessary and sufficient conditions
equivalence of statements
implication
logical conjunction
logical disjunction

How to Cite

Mazėtis, E. and Melničenko, G. (2024) “Necessary and sufficient conditions in theorems”, Lietuvos matematikos rinkinys, 65(B), pp. 34–44. doi:10.15388/LMD.2024.38089.

Abstract

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.

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