disjunctive

Meanings

• adjective, term

  The term 'disjunctive' refers to a logical operation that represents the 'OR' relationship between two or more propositions.

  - "In the logical statement 'A or B', the word 'or' is the disjunctive operator."
  - "The disjunctive proposition 'It is raining or the sun is shining' is true if either proposition is true."
  - "The logical expression '(A or B) and (C or D)' is equivalent to '(A or C or B or D)'."

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Antonyms

conjunctive

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Variants

List of all variants of disjunctive that leads to same result
disjunctive , disjunctively , disjunctives

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Etymology

origin and the way in which meanings have changed throughout history.

From Latin 'disjunctus', past participle of 'disjungere' which means 'to separate, disconnect'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The disjunctive proposition 'P or not P' is known as the law of excluded middle.

2. In Boolean algebra, the disjunction operation is represented by the '+' symbol.

3. The disjunctive proposition 'A or B' is true if either A or B (or both) is true.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Conjunction: A logical operation that represents the 'AND' relationship between two or more propositions. Conjunction and disjunction are the two primary logical operations.

2. Propositional logic: A branch of mathematical logic that deals with propositions and logical relationships between them. It is used to model arguments and make formal deductions.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics and logic, disjunctive propositions are used extensively in propositional logic and Boolean algebra. They have applications in computer science, particularly in digital electronics and database systems.

How to Memorize "disjunctive"

1. visualize
   

   - Imagine two interconnected switches. When one switch is on, the other switch can be on or off. This visual representation demonstrates the 'OR' relationship represented by the disjunctive operator.

2. associate
   

   - Associate the disjunctive operator with the 'OR' symbol, which is commonly used to represent the logical 'OR' operation.

3. mnemonics
   

   - Remember the phrase 'Disjunction is my OR friend'. This mnemonic helps you remember the meaning of disjunction and its relationship to the 'OR' operator.

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