Meaning & use

monad

noun·Advancedtechnical

Last updated

UK/ˈmɒnæd/
US/ˈmoʊnæd/

Meanings

  1. nouncountable

    In philosophy, a single, indivisible unit regarded as the basic element of existence, especially in the thought of Leibniz.

    Grammar: Used in philosophy: each monad is separate.

    Patterns

    • a monad of something

    Leibniz believed the universe is made of countless monads.

    Each monad, in his view, reflects the whole world from its own point of view.

    The professor spent a lecture on the idea of the monad.

  2. nouncountablecomputing

    In computer programming, a structure that wraps a value and lets operations be chained together while handling side effects such as errors.

    Grammar: Common in functional programming: the Maybe monad.

    Patterns

    • the something monad
    • a monad for something

    Haskell programmers use the Maybe monad to handle missing values.

    A monad makes it easier to chain steps that might fail.

    She wrote a blog post explaining monads in plain language.

  3. nouncountablearchaic

    The number one, or a single unit, as a first principle in ancient Greek thought.

    Grammar: Historical use, rare today.

    Patterns

    • the Pythagorean monad

    The Pythagoreans saw the monad as the source of all numbers.

    In the old system, the monad stood for unity.

Word forms

pluralmonads

Common combinations

Leibniz's monad
Leibniz's monad has no windows through which things can enter.
the Maybe monad
The Maybe monad wraps values that might be missing.
monad laws
Libraries are expected to obey the monad laws.
explain a monad
It is hard to explain a monad without examples.
philosophical monad
The philosophical monad differs from an atom.

Synonyms and how they differ

unit
Unit is a general word for a single thing, while monad is a specific philosophical or technical term.
atom
An atom in ancient philosophy is a physical particle, whereas a monad is non-physical and has an inner life.
entity
Entity is a broad word for anything that exists and does not suggest indivisibility.

Word family

monadic adjective
relating to a monad or to a single unit
monadology noun
the study or theory of monads, from Leibniz's work
monadism noun
the philosophy that reality is made of monads
monads noun
plural of monad

Commonly confused: monad or monoid? monad or nomad?

monad vs monoid

A monoid is a mathematical structure with a combining operation, and in programming it is a different idea from a monad.

monad vs nomad

A nomad is a person who moves from place to place, and the word is unrelated to monad despite the similar letters.

Practice

Who is most closely associated with the philosophical idea of the monad?

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