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This paper aims to establish the problems of the Stoic concept of cognitive representation (καταληπτική φαντασία). So I intend to reconstruct the scholarly debate on this definition. For it, I state the debate around its two most conflictive terms: the participle ὑπάρχον and the preposition ἀπό. By analyzing the Stoic fragments in which these terms appear, I explore both textual and philosophical arguments in order to find the different senses of both. By doing so, my aim is highlighting the limits of those interpretations. My conclusion is proposing certain issues to constitute a research agenda on the Stoic definition of cognitive representation, in order to, to some extent, possible solutions might be discerned. [ABSTRACT FROM AUTHOR]