This chapter discusses cognitive psychology as the science of thought, language and thought, the fallacy of the mind behind the mind, the brain behind the mind. It aims to follow Wittgenstein as he unravels the complexities of the way the words 'thinking,' 'thought' and 'understanding' actually are used. Psychology is presented to us as the science of thinking, feeling, acting and perceiving. These are among a certain group of characteristic activities that distinguish human beings from all other types of entities, inorganic or organic. Many cognitive practices are carried through by the public use of words and other symbols in social and material contexts. The very same cognitive tools can be used for private and personal acts of thinking. Rightly understood, cognitive psychology is the study of the instrument by means of which people accomplish discursive acts. Neuroscience could never replace cognitive psychology because it depends on cognitive psychology.