"Logically equivalent statements" refer to two or more statements that have the same truth value in every possible scenario. If one statement is true, the other is also true, and if one is false, the other is likewise false. This phrase is primarily used in fields such as logic, mathematics, and philosophy. Its frequency of use is more common in written contexts, especially in academic papers and textbooks.
Логически эквивалентные утверждения могут быть важны в формальных доказательствах в математике.
Understanding logically equivalent statements is essential for students studying logic.
Понимание логически эквивалентных утверждений необходимо для студентов, изучающих логику.
The professor explained how logically equivalent statements demonstrate the same truth in different forms.
While "logically equivalent statements" is not commonly found in many idiomatic expressions, the concept of equivalence and logic does appear in various phrases. Here are some related idiomatic expressions:
Нам нужно убедиться, что мы на одной волне перед встречей.
Cut from the same cloth: Refers to things or people that are similar in nature or character.
Эти две теории сшиты из одной ткани, что приводит к одному и тому же выводу.
Two sides of the same coin: Suggests that two different things are closely related.
Страх и смелость часто рассматриваются как две стороны одной медали.
Seeing eye to eye: To agree with someone.
The term "logically equivalent statements" can be broken down into three parts: - "Logically" comes from "logic," derived from the Greek word "logikē," meaning skilled in reasoning. - "Equivalent" traces its origins to the Latin word "aequivalentem," meaning equal in force or value. - "Statements" originates from the Latin "statuere," which means to set down or state.
This combination of terms emphasizes the relationship of equality in truth values conveyed in a logical context.