'uncategorizable' originates from the prefix 'un-' meaning 'not' and the word 'categorizable', which comes from 'category', derived from the Greek word 'katēgoria', meaning 'statement' or 'accusation'.

'categorizable' evolved from the Greek 'katēgoria' through Latin 'categoria', and eventually became the modern English word 'category'. The prefix 'un-' was added to form 'uncategorizable'.

Initially, 'category' meant 'statement' or 'accusation', but over time it evolved to mean a class or division of people or things regarded as having particular shared characteristics.