This symposium brings together seven researchers from a diverse range of disciplines (cognitive science, psychology, computer science, neuroscience) and locations (US, England, Spain, Netherlands) to discuss a range of scaling laws (scaling relations, scale-free networks, power law distributions, long-range correlations a.k.a. 1/f noise, Lévy flights) from a number of empirical sources (episodic recall, language corpora, word naming, electroencephalogram i.e. EEG recordings, category member generation). Accounts of each particular scaling law will be discussed and compared. The overarching aims are to raise awareness of scaling laws in cognitive science, and to discuss their meaning for theories of memory, language, and cognition.