excluded middle (english) - meaning, definition, translation, pronunciation

Part of Speech

Excluded Middle is a noun phrase.

Phonetic Transcription

/ɪkˈskluːdɪd ˈmɪdəl/

Meaning and Usage

The term "excluded middle" refers to a principle in logic known as the Law of Excluded Middle, which states that for any proposition, either that proposition is true, or its negation is true. It plays a crucial role in classical logic but is often challenged in alternative logical systems, such as intuitionistic logic.

In everyday usage, "excluded middle" is less frequently employed and is primarily found in academic or theoretical discourse, particularly in discussions concerning logic, philosophy, mathematics, and computer science.

Example Sentences

1. The philosopher debated the relevance of the excluded middle in contemporary discussions of truth.

2. Философ обсуждал значимость исключенного среднего в современных дискуссиях о правде.

3. In mathematics, the excluded middle leads to several powerful theorems that rely on binary truth values.

4. В математике исключённое среднее приводит к нескольким мощным теоремам, которые основываются на бинарных значениях истины.

5. Many modern logicians challenge the principle of the excluded middle, arguing for more nuanced truth values.

6. Многие современные логики оспаривают принцип исключенного среднего, утверждая о более тонких значениях истины.

Idiomatic Expressions

The term "excluded middle" does not have widely recognized idiomatic expressions in English. However, it is fundamental to discussions on dichotomies and logical frameworks, which can invoke certain expressions indirectly related to duality and extremes.

Example Sentences with Related Idiomatic Expressions

1. He believes in the idea that there is no middle ground when it comes to the excluded middle in philosophical debates.

2. Он верит в идею о том, что нет золотой середины, когда речь идет об исключённом среднем в философских дебатах.

3. The author explores the shades of gray in moral philosophy rather than just focusing on black and white views in the context of the excluded middle.

4. Автор исследует нюансы в моральной философии, а не только сосредоточен на черно-белых взглядах в контексте исключенного среднего.

5. In the political arena, the excluded middle often fails to capture the complexity of people's beliefs, leading to oversimplified narratives.

6. В политической арене исключённое среднее часто не может захватить сложность убеждений людей, что приводит к упрощённымNarratives.

Etymology

The term "excluded middle" derives from Latin roots and is rooted in the historical development of formal logic. The Law of Excluded Middle has origins in Aristotelian logic, which implies a binary system of truth: either a statement is true, or its negation is true.

Synonyms and Antonyms

Synonyms: - Law of Excluded Middle - Principle of Non-Contradiction (though not strictly the same, they are related concepts in classical logic)

Antonyms: - Fuzzy logic - Gray area - Non-binary logic (in some contexts)

This comprehensive breakdown of "excluded middle" emphasizes its logical significance and contextual relevance in both academic and philosophical discussions.