'philosophically' originates from Greek via Latin and Middle English, specifically from the Greek word 'philosophia', where 'philo-' meant 'love' and 'sophia' meant 'wisdom'.

'philosophia' passed into Latin as 'philosophia', into Old French as 'philosophie', and into Middle English as 'philosophy'; the adjective 'philosophical' was then formed with the suffix '-ical', and the adverb 'philosophically' was formed by adding '-ly'.

Initially it referred to 'love of wisdom' (the concept of 'philosophy'); over time it evolved to mean 'relating to philosophy' and, as an adverb, 'in a philosophical manner' or 'in a calm, reflective way'.