logical consequence: meaning, definition, pronunciation and examples

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UK/ˈlɒdʒɪkəl ˈkɒnsɪkwəns/US/ˈlɑːdʒɪkəl ˈkɑːnsəkwens/

Formal, academic, technical

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Quick answer

What does “logical consequence” mean?

A conclusion that necessarily follows from given premises or facts according to the rules of logic.

Audio

Pronunciation

Definition

Meaning and Definition

A conclusion that necessarily follows from given premises or facts according to the rules of logic.

An inevitable result or outcome that can be deduced from a situation, argument, or set of conditions.

Dialectal Variation

British vs American Usage

Differences

No significant lexical differences; usage patterns identical across varieties.

Connotations

Slightly more common in British academic philosophy discourse historically, but negligible difference today.

Frequency

Equal frequency in academic/professional contexts; rare in casual speech in both varieties.

Grammar

How to Use “logical consequence” in a Sentence

X is a logical consequence of YIt follows as a logical consequence that...The logical consequence of X is Y

Vocabulary

Collocations

strong
inevitable logical consequencenecessary logical consequencedirect logical consequence
medium
follow as a logical consequencedraw logical consequenceslogical consequence of
weak
obvious logical consequenceclear logical consequenceimmediate logical consequence

Examples

Examples of “logical consequence” in a Sentence

verb

British English

  • This logically consequates from the premises.
  • The theory consequates several predictions.

American English

  • This logically follows from the premises.
  • The theory entails several predictions.

adverb

British English

  • The conclusion followed logically consequently.
  • She reasoned logically consequentially.

American English

  • The conclusion followed logically as a consequence.
  • She reasoned with logical consequence.

adjective

British English

  • The consequentially logical step was unavoidable.
  • His argument was consequentially flawed.

American English

  • The logically consequential step was unavoidable.
  • His argument was consequentially flawed.

Usage

Meaning in Context

Business

Rare; might appear in strategic planning: 'The logical consequence of this merger would be market dominance.'

Academic

Common in philosophy, mathematics, computer science: 'Modus ponens shows Q is a logical consequence of P and P→Q.'

Everyday

Very rare; simplified as 'that makes sense' or 'so that means...'

Technical

Core term in formal logic, AI, and legal reasoning with precise definitions.

Vocabulary

Synonyms of “logical consequence”

Strong

necessary conclusioninevitable resultentailment

Vocabulary

Antonyms of “logical consequence”

Watch out

Common Mistakes When Using “logical consequence”

  • Using 'logical consequence' for probable outcomes (should be 'likely outcome')
  • Confusing with 'cause and effect' (which is empirical, not purely logical)

FAQ

Frequently Asked Questions

No. Cause and effect describes empirical relationships in the real world. Logical consequence describes deductive relationships between statements, independent of real-world facts.

It's very formal. In casual speech, people say 'that means...', 'so then...', or 'it follows that...' instead.

In formal logic, they're often synonymous. In general usage, 'implication' can be weaker or more suggestive, while 'logical consequence' emphasizes deductive certainty.

Use it when demonstrating deductive reasoning: 'The logical consequence of these two premises is that the policy must be revised.' Avoid using it for probabilistic outcomes.

A conclusion that necessarily follows from given premises or facts according to the rules of logic.

Logical consequence is usually formal, academic, technical in register.

Logical consequence: in British English it is pronounced /ˈlɒdʒɪkəl ˈkɒnsɪkwəns/, and in American English it is pronounced /ˈlɑːdʒɪkəl ˈkɑːnsəkwens/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • Follow as night follows day (similar concept)

Learning

Memory Aids

Mnemonic

LOGICAL CONSEQUENCE = LOGIC + AL + CON + SEQUENCE (a sequence that follows logically)

Conceptual Metaphor

LOGICAL REASONING IS A PATH (consequences are destinations reached by following the path)

Practice

Quiz

Fill in the gap
If all humans are mortal and Socrates is human, then mortality is a of Socrates being human.
Multiple Choice

Which field uses 'logical consequence' as a technical term with precise formal definition?