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This is called procedural memory. In textbooks, memory is often broken down into a hierarchy of types. Note that this taxonomy is primarily a guide to language use - ie, how types of memory are labelled or referred to, not how memory is actually organised in the brain. In standard hierarchies, recalling a mathematical formula would fall under semantic ...


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You are right, procedural memory is defined as implicit. Semantic memory on the other hand is part of explicit memory. It includes declarative knowlegde (knowledge of facts or ideas) that can be made conscious. As far as I know there is no particular relationship between the two but they will definitely interact during cognitive processes. For example, ...


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