Monad vs. Monoid — What's the Difference?

(Philosophy) An indivisible, impenetrable unit of substance viewed as the basic constituent element of physical reality in the metaphysics of Leibniz.

In abstract algebra, a branch of mathematics, a monoid is a set equipped with an associative binary operation and an identity element. Monoids are semigroups with identity.

(Biology) A single-celled microorganism, especially a flagellate protozoan formerly classified in the taxonomic group Monadina.

(mathematics) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.

(philosophy) An ultimate atom, or simple, unextended point; something ultimate and indivisible.

(prosody) Containing only one kind of metrical foot.

(botany) A single individual (such as a pollen grain) that is free from others, not united in a group.

A single-celled organism.

(category theory) A monoid object in the category of endofunctors of a fixed category.

A data type which represents a specific form of computation, along with the operations "return" and "bind".

An ultimate atom, or simple, unextended point; something ultimate and indivisible.

The elementary and indestructible units which were conceived of as endowed with the power to produce all the changes they undergo, and thus determine all physical and spiritual phenomena.

One of the smallest flagellate Infusoria; esp., the species of the genus Monas, and allied genera.

A simple, minute organism; a primary cell, germ, or plastid.

An atom or radical whose valence is one, or which can combine with, be replaced by, or exchanged for, one atom of hydrogen.

An atom having a valence of one

A singular metaphysical entity from which material properties are said to derive