Space

**Philosophical Perspectives on Space:**
– Debates on the nature and existence of space date back to antiquity.
– Classical philosophical questions on space were discussed in the Renaissance and 17th century.
– Newton’s view of space as absolute, existing independently of matter.
– Leibniz’s belief that space was a collection of relations between objects.
– Differing views on space by Berkeley and Kant.
– Descartes’ Cartesian space being infinite, uniform, and flat.
– Cartesian dualism distinguishing between body and mind.

**Scientific Contributions on Space:**
– Galileo’s support for the heliocentric theory and challenge to Aristotelian beliefs.
– Galileo’s foundational work influencing the Scientific Revolution.
– Leibniz’s perspective on space as a collection of spatial relations.
– Newton’s concept of absolute space distinct from relative motion.
– Einstein’s theory of general relativity describing deviations from Euclidean space.
– Kant’s theory on space as a synthetic and imposed human construct.

**Mathematical and Geometrical Concepts of Space:**
– Non-Euclidean geometries providing better models for space around gravitational fields.
– Spherical, hyperbolic, and elliptical geometries.
– Manifolds as spaces locally approximating Euclidean space.
– Vector spaces with infinite dimensions.
– Topological spaces replacing distance with the idea of nearness.

**Relativity and Spacetime:**
– Einstein’s special and general theories of relativity combining space and time.
– Distances in Minkowski space along spacetime intervals being invariant.
– Einsteins’ work changing the view of time and space due to relativity.
– The mathematical combination of space and time in relativistic physics.
– The influence of relativity theory on cosmology and the universe’s origin.

**Applications of Space in Various Fields:**
– Spatial measurement using the International System of Units.
– Geography involving identifying and describing Earth’s places.
– Space perception in psychology and its impact on survival.
– Social sciences analyzing space through various theoretical perspectives.
– Spatial planning, cartography, and geostatistics in geographical space.

Space (Wikipedia)

Space is a three-dimensional continuum containing positions and directions. In classical physics, physical space is often conceived in three linear dimensions. Modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework.

A right-handed three-dimensional Cartesian coordinate system used to indicate positions in space

In the 19th and 20th centuries mathematicians began to examine geometries that are non-Euclidean, in which space is conceived as curved, rather than flat, as in the Euclidean space. According to Albert Einstein's theory of general relativity, space around gravitational fields deviates from Euclidean space. Experimental tests of general relativity have confirmed that non-Euclidean geometries provide a better model for the shape of space.