The grammatical morphemes of the English language can be shown to display a matrix of submorphemic constituents which invariably refer to elementary cognitive processes or cognemes. This study presents an introductory overview of the system and examines the parameters which determine the conversion of semiological units into meaningful submorphemes in grammaticalized environments, the role played by constructional syntax, the interactions with phonaesthemes and the status of cogneme in relation to utterance and interpretation within speech acts.