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First-order logic and Modus ponens

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

Difference between First-order logic and Modus ponens

First-order logic vs. Modus ponens

First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. 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.

Similarities between First-order logic and Modus ponens

First-order logic and Modus ponens have 11 things in common (in Unionpedia): Formal system, Logical consequence, Logical disjunction, Material conditional, Metalogic, Propositional calculus, Rule of inference, Sequent calculus, Stanford Encyclopedia of Philosophy, Tautology (logic), Truth table.

Formal system

A formal system is the name of a logic system usually defined in the mathematical way.

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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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Logical disjunction

In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.

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Material conditional

The material conditional (also known as material implication, material consequence, or simply implication, implies, or conditional) is a logical connective (or a binary operator) that is often symbolized by a forward arrow "→".

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Metalogic

Metalogic is the study of the metatheory of logic.

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Propositional calculus

Propositional calculus is a branch of logic.

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Rule of inference

In logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions).

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Sequent calculus

Sequent calculus is, in essence, a style of formal logical argumentation where every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology.

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Stanford Encyclopedia of Philosophy

The Stanford Encyclopedia of Philosophy (SEP) combines an online encyclopedia of philosophy with peer-reviewed publication of original papers in philosophy, freely accessible to Internet users.

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Tautology (logic)

In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation.

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Truth table

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (Enderton, 2001).

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The list above answers the following questions

First-order logic and Modus ponens Comparison

First-order logic has 207 relations, while Modus ponens has 47. As they have in common 11, the Jaccard index is 4.33% = 11 / (207 + 47).

References

This article shows the relationship between First-order logic and Modus ponens. To access each article from which the information was extracted, please visit:

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