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Theory that some of our sense-data can accurately represent external objects
In the philosophy of perception, critical realism is the theory that some of our sense-data (for example, those of primary qualities) can and do accurately represent external objects, properties, and events, while other of our sense-data (for example, those of secondary qualities and perceptual illusions) do not accurately represent any external objects, properties, and events. Put simply, critical realism highlights a mind-dependent aspect of the world that reaches to understand (and comes to an understanding of) the mind-independent world.
Some precursors
Locke
According to Locke—following a tradition which can be traced back to the ancient (Democritus) and modern (Galileo Galilei, Isaac Newton) atomism—some sense-data, namely the sense-data of secondary qualities (i.e. colours, tastes, smells, sounds), do not represent anything in the external world, even if they are caused by external qualities (primary qualities). By its talk of sense-data and representation, this theory depends on or presupposes the truth of representationalism.
Descartes
René Descartes developed the theory that, since we could not definitely prove anything we experienced, the only thing which is sure to exist is our mind. He explains this by stating that in order to experience anything—real or fake—we first have to exist at all. That led to his famous saying "Cogito, ergo sum." (I think, therefore I am.).