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Primitive notions

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Concept

Concept that is not defined in terms of previously defined concepts

Geometric mathematics

Methodologies, philosophy, and formal systems, a concept called a primitive notion is one that is not determined by concepts that have already been defined. Typically, informally motivating involves appealing to intuition and everyday experience. In an axiomatic theory, axioms define the relationship between basic concepts. Although some authors use the term ‘defining’ basic concepts by one or more axioms, this can be misleading. If formal theories lack basic notions, they can be at risk of infinite regress according to the regress problem.

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Intuition

Capability of acquiring knowledge without repetition. Capability of acquiring knowledge without having to think about it or need an explanation.

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Intuition is utilized in various disciplines in diverse ways, such as accessing unconscious knowledge, cognition, gut feelings, inner sensing, inner insight into unconscious pattern recognition, and the capacity to comprehend something instinctively without the need for conscious reasoning. Intuitive knowledge has a tendency to be approximate.

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• "intuition". Oxford Dictionaries. Archived from the original on July 19, 2012. Retrieved 22 December 2014. • Epstein, Seymour (30 November 2010). "Demystifying Intuition: What It Is, What It Does, and How It Does It". Psychological Inquiry. 21 (4): 295–312. doi:10.1080/1047840X.2010.523875. S2CID 145683932.