This intuitive concept is formalized by a function whose domain is the Cartesian product of two or more sets.

A few configurations are simple enough, however, that they could be designed starting from a few intuitive concepts.

Unlike most mathematical models of the intuitive concept of 'number', this structure allows division by zero:

The notion of a formal grammar may be closer to the intuitive concept of a "language," one described by syntactic rules.

These ideas of proximity and height form the intuitive concept of the "fitness landscape".

Force can also be described by intuitive concepts such as a push or a pull.

This intuitive concept can be extended to orders on other sets of numbers, such as the integers and the reals.

However, this intuitive concept has some logical subtleties that need clarification.

The bad news is that our classical "intuitive" concepts like "size" lose their meaning.

According to this view, our intuitive concept of risk is fundamentally asymmetric in nature.