'non-algorithmic' originates from the prefix 'non-' meaning 'not' and 'algorithmic,' which is derived from 'algorithm,' a term that traces back to the name of the Persian mathematician Al-Khwarizmi.

'Algorithmic' evolved from the Latin 'algorismus,' which was derived from the name 'Al-Khwarizmi,' and the prefix 'non-' was added to form 'non-algorithmic.'

Initially, 'algorithmic' referred to a systematic procedure, and 'non-algorithmic' was coined to describe processes that do not follow such procedures.