particularly in philosophy, have put forth radically different definitions. All proposed definitions are controversial in their own ways. Pythagoras stated "All...

two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that...

Mathematics is a field of study that investigates topics such as number, space, structure, and change. Definitions of mathematics – Mathematics has no...

ridge of the hip bone (see ). There are three main types of technical definitions.[definition needed] Power definitions Secondary definitions Extended...

intuitive definitions of the basic mathematical objects were insufficient for ensuring mathematical rigour. Examples of such intuitive definitions are "a...

Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities. Major...

In mathematics, a space is a set (sometimes known as a universe) with a definition (structure) of relationships among the elements of the set. While modern...

These are provable properties of rational numbers and positional number systems and are not used as definitions in mathematics. Irrational numbers can also...

formal mathematical system based on lambda abstraction and function application. Two definitions of the language are given here: a standard definition, and...

definition. These definitions are equivalent in the context of a given mathematical structure (Euclidean space, in this case). Second, a mathematical...