Etymology
The term "monad" comes from the Greek word "μονάς" (monas), meaning "a single unit" or "an individual." It was first used in philosophy by the Greek philosopher Plato, who referred to the monad as a fundamental, indivisible, and unchanging entity.
Meaning
In mathematics, a monad is a mathematical structure that represents a single entity that can be composed with itself in various ways. In computer science, it is often used to represent a computation that takes a single input and produces a single output.
More generally, monads are used in various fields to represent abstract concepts that involve some kind of composition or transformation of a single item.
Origin
The concept of the monad originated in philosophy. In Plato's philosophy, the monad was considered the ultimate, indivisible, and perfect reality from which all other things are derived. The concept was later adopted by other philosophers, including Aristotle and the Neoplatonists.
In the 19th century, the mathematician Richard Dedekind introduced the term "monad" into mathematics to describe a type of number that can be constructed from a single operation. This definition was later generalized by the mathematician Georg Cantor, who defined a monad as any set that is a subset of itself.
In the 20th century, the concept of monads was further developed in category theory by mathematicians such as Alexander Grothendieck and Jean Bénabou. They introduced the idea of a monad as a functor that has a left and right adjoint. This definition is now commonly used in computer science and other fields that use category theory.
Etymology From Old English malm malmesy from Old French malvoisie from Medieval Lat
Etymology The term monad comes from the Greek word μονάς monas meaning a sin
Etymology From Late Latin monarchia from Ancient Greek μοναρχία monarchia a
Etymology From Late Latin monasterium from Ancient Greek μοναστήριον monas
Etymology The word monism comes from the Greek word mónos meaning single or one
Etymology The word monist is derived from the Greek word monos meaning one or sin
Etymology The word monk comes from the Greek word monos meaning alone Meaning
Etymology The word mono is derived from the Greek word monos meaning single or a
Etymology The word monoceros is derived from the Greek words mono meaning one and
Etymology The word monochrome is derived from the Greek words mono μόνο meani
Etymology The word monocle is derived from the Greek word monos meaning one or si
Etymology The word monocular originates from the Greek word monos μονός meani
Etymology The word monogram is derived from the Greek words mono meaning single a
Etymology From Greek μονόλιθος monolíthos from μόνος mónos single
Etymology of Monologue The word monologue is derived from the Greek words monos mean
Etymology From Greek monomanēs mad about one thing from monos single mania
Etymology The term Monophysite is derived from the Greek words mono meaning one
Etymology and Meaning The word monopoly is derived from two Greek words Mono meanin
Etymology The word monosyllable is derived from two Greek words monos meaning one
Etymology Latin monotonia Greek monos single sole tonos tone Meaning
Etymology Old English singel from Proto Germanic singlaz ultimately from Proto In
Etymology of Technology The word technology originates from two Greek words Techn
Etymology The word emblem is derived from the Greek word emblema meaning something
Etymology Latin resolutio Root re again back solvere to loosen release Mea
Etymology The word herald comes from the Old French word heraut which in turn comes
Etymology of Asthma Greek asthma meaning panting shortness of breath Meaning o
