kartezyen

Kartezyen is a term that can refer to several related concepts, primarily stemming from the work of the 17th-century philosopher and mathematician René Descartes. The most common association is with the Cartesian coordinate system, also known as the Cartesian plane. This system uses two perpendicular lines, called axes, to define the position of any point in a two-dimensional space. The horizontal axis is typically called the x-axis, and the vertical axis is the y-axis. A point's location is given by an ordered pair of numbers, (x, y), representing its distance from the origin along each axis.

Beyond the coordinate system, "Kartezyen" can also allude to Cartesian philosophy, which emphasizes reason and deduction. Descartes' famous dictum, "Cogito, ergo sum" (I think, therefore I am), is a cornerstone of his rationalist philosophy, seeking to establish a foundation of certainty through introspection. His method of systematic doubt aimed to strip away all beliefs that could be questioned, leaving only undeniable truths.

In some contexts, "Kartezyen" might also refer to Cartesian products in set theory. A Cartesian product of two sets A and B is the set of all ordered pairs (a, b) where 'a' is an element of A and 'b' is an element of B. This concept is fundamental in various areas of mathematics and computer science, extending the idea of pairing elements from different collections. The name "Kartezyen" thus encapsulates a range of foundational ideas originating from Descartes' influential contributions to thought and mathematics.