What is Space: Definition and 1000 Discussions

Space is the boundless three-dimensional extent in which objects and events have relative position and direction. In classical physics, physical space is often conceived in three linear dimensions, although 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.
Debates concerning the nature, essence and the mode of existence of space date back to antiquity; namely, to treatises like the Timaeus of Plato, or Socrates in his reflections on what the Greeks called khôra (i.e. "space"), or in the Physics of Aristotle (Book IV, Delta) in the definition of topos (i.e. place), or in the later "geometrical conception of place" as "space qua extension" in the Discourse on Place (Qawl fi al-Makan) of the 11th-century Arab polymath Alhazen. Many of these classical philosophical questions were discussed in the Renaissance and then reformulated in the 17th century, particularly during the early development of classical mechanics. In Isaac Newton's view, space was absolute—in the sense that it existed permanently and independently of whether there was any matter in the space. Other natural philosophers, notably Gottfried Leibniz, thought instead that space was in fact a collection of relations between objects, given by their distance and direction from one another. In the 18th century, the philosopher and theologian George Berkeley attempted to refute the "visibility of spatial depth" in his Essay Towards a New Theory of Vision. Later, the metaphysician Immanuel Kant said that the concepts of space and time are not empirical ones derived from experiences of the outside world—they are elements of an already given systematic framework that humans possess and use to structure all experiences. Kant referred to the experience of "space" in his Critique of Pure Reason as being a subjective "pure a priori form of intuition".
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. 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.

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  1. Mr Davis 97

    I Real function inner product space

    Wolfram says that an example of an inner product space is the vector space of real functions whose domain is an closed interval [a,b] with inner product ##\langle f, g\rangle = \int_a^b f(x) g(x) dx##. But ##1/x## is a real function, and ##\langle 1/x, 1/x\rangle## does not converge... So how is...
  2. V

    B Is space is continuous or discrete?

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  3. M

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  4. M

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  5. WeiShan Ng

    I Momentum/Position space wave function

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  6. J

    I Dynamical Casmir Effect in expanding space?

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  7. vysqn

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  8. e2m2a

    I Exploring Frame Dragging & Its Impact on Space: Q&A

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  9. S

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  10. G

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  11. R

    I What to do with unused space in a home freezer?

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  12. K

    I Perceived Speed of Objects in Space

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  13. I

    Determining if a subset W is a subspace of vector space V

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  14. N

    B Is there a way to measure gravity in a particular area of space

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  15. T

    I How can I go about making a "Space Proof" coating?

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  16. K

    A Vacuum in QFT: Fock space or effective potential?

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  17. Zafa Pi

    I Chaos like phenomena on a simple metric space?

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  18. M

    A How to determine constant to be in Hilbert space

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  19. R

    I Earth Between 2 Suns: Time & Space Questions

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  20. evinda

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  21. K

    I Constructing the Tangent Space to the Sphere: A Simple Case Study in Relativity

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  22. tma73

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  23. P

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  24. Lunct

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  25. facenian

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  26. I

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  27. S

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  28. pairofstrings

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  29. G

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  30. R

    I Do traditional particles occupy space

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  31. J

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  32. M

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  33. A

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  35. facenian

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  36. R

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  37. R

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  38. K

    I Expressing Locality in Vector Space for GR

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  39. Kenneth Boon Faker

    B What does the 'space' inside an atom consist of?

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  40. L

    MHB Question -Sample space in probability

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  41. Craftek_Ana

    B Traveling to Mars and time dilation

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  42. Sarina3003

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  43. mjda

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  44. N

    I Expanding math space implies expanding space?

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  45. Mr_Phil_Osophy

    B Object interactions in relation to space curvature....

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  46. M

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  47. Carson

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  48. R

    I Why does bent space set objects in motion?

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  49. N

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    A question arose over a simplification I wrote on another subject. My i information say's that matters antimatter pairs are generated in what is known to be very empty space such as the voids within the cosmic web. When I read about this it was considered anomalous but definitely verified. Now...
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