logicism: meaning, definition, pronunciation and examples

Low / Specialized
UK/ˈlɒdʒ.ɪ.sɪ.zəm/US/ˈlɑː.dʒɪ.sɪ.zəm/

Academic / Technical / Philosophical

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Quick answer

What does “logicism” mean?

The philosophical doctrine that mathematics, or at least some significant part of it, is reducible to or an extension of formal logic.

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Pronunciation

Definition

Meaning and Definition

The philosophical doctrine that mathematics, or at least some significant part of it, is reducible to or an extension of formal logic.

In broader terms, an excessive reliance on or adherence to logical or formal reasoning, often at the expense of other considerations like intuition, context, or empirical observation. Can imply a rigid, rule-bound approach.

Dialectal Variation

British vs American Usage

Differences

No significant difference in meaning or spelling. Usage is uniformly academic and specialized.

Connotations

In philosophical contexts, neutral. In extended critical use, can carry a negative connotation of inflexibility or oversimplification.

Frequency

Extremely rare in general discourse in both regions. Usage confined almost entirely to academic philosophy departments.

Grammar

How to Use “logicism” in a Sentence

Logicism holds that...The central tenet of logicism is...He argued against logicism on the grounds that...A proponent of logicism

Vocabulary

Collocations

strong
Frege's logicismneo-logicismcritique of logicismdefend logicism
medium
philosophy of logicismlogicism thesislogicism program
weak
pure logicismmathematical logicismstrict logicism

Examples

Examples of “logicism” in a Sentence

verb

British English

  • The project aims to logicise arithmetic.

American English

  • He sought to logicize the foundations of mathematics.

adverb

British English

  • [No standard adverbial form]

American English

  • [No standard adverbial form]

adjective

British English

  • The logicist programme faced significant obstacles.

American English

  • Her logicist arguments were met with rigorous criticism.

Usage

Meaning in Context

Business

Virtually never used.

Academic

Core usage. Found in philosophy of mathematics, logic, and history of analytic philosophy journals and texts.

Everyday

Not used.

Technical

Used precisely within the technical vocabulary of mathematical philosophy.

Vocabulary

Synonyms of “logicism”

Strong

logical reductionism (in mathematics)

Neutral

logicist doctrinelogicist thesis

Weak

formalist approach (context-dependent)deductivism

Vocabulary

Antonyms of “logicism”

intuitionismformalism (in a different philosophical sense)empiricismconstructivism

Watch out

Common Mistakes When Using “logicism”

  • Confusing 'logicism' with being 'logical' in the everyday sense.
  • Using it to describe a person who is merely rational instead of referencing the philosophical doctrine.
  • Misspelling as 'logicistism'.

FAQ

Frequently Asked Questions

No. 'Logicism' is a specific philosophical thesis about the foundation of mathematics. Being 'logical' is a general trait of reasoning correctly.

Gottlob Frege and Bertrand Russell (in his early work with Alfred North Whitehead on 'Principia Mathematica') are the central figures.

Most philosophers and logicians agree that pure logicism, as originally conceived, failed. Kurt Gödel's incompleteness theorems and other issues showed that not all of mathematics can be reduced to logic alone.

Yes, but it's rare and metaphorical. It might be used critically to describe an overly rigid, rule-based approach that ignores nuance, intuition, or practical context (e.g., 'The manager's logicism stifled creative solutions').

The philosophical doctrine that mathematics, or at least some significant part of it, is reducible to or an extension of formal logic.

Logicism is usually academic / technical / philosophical in register.

Logicism: in British English it is pronounced /ˈlɒdʒ.ɪ.sɪ.zəm/, and in American English it is pronounced /ˈlɑː.dʒɪ.sɪ.zəm/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • [No common idioms for this specialized term]

Learning

Memory Aids

Mnemonic

LOGICism: It's the ISM (doctrine) that says LOGIC is the foundation of Mathematics.

Conceptual Metaphor

MATHEMATICS IS LOGIC; FOUNDATIONALISM AS A BUILDING (with logic as the foundation).

Practice

Quiz

Fill in the gap
The philosophical doctrine that reduces mathematics to the principles of logic is known as .
Multiple Choice

In which academic field is the term 'logicism' primarily used?

logicism: meaning, definition, pronunciation and examples | Lingvocore