Axiom and Negation

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Axiom and Negation

Axiom vs. Negation

An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬P), which is interpreted intuitively as being true when P is false, and false when P is true.

Similarities between Axiom and Negation

Axiom and Negation have 5 things in common (in Unionpedia): Boolean algebra, Logic, Logical connective, Logical consequence, Modus ponens.

Boolean algebra

In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Logical connective

In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.

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Logical consequence

Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statements.

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Modus ponens

In propositional logic, modus ponens (MP; also modus ponendo ponens (Latin for "mode that affirms by affirming") or implication elimination) is a rule of inference.

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The list above answers the following questions

What Axiom and Negation have in common
What are the similarities between Axiom and Negation

Axiom and Negation Comparison

Axiom has 146 relations, while Negation has 77. As they have in common 5, the Jaccard index is 2.24% = 5 / (146 + 77).

References

This article shows the relationship between Axiom and Negation. To access each article from which the information was extracted, please visit:

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