Geometry | Topology

Space

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. (Wikipedia).

Space
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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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A01 An introduction to a series on space medicine

A new series on space medicine.

From playlist Space Medicine

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What is spacetime?

"Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu"

From playlist Science Unplugged: Special Relativity

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Ask the Space Lab Expert: What is Space?

Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!

From playlist What is Space? YouTube Space Lab with Liam and Brad

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What Is Nothing?

Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?

From playlist Guide to Space

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Astronomy - Ch. 31: What is Space Made of? (6 of 15) Einstein Quotes & Other Thoughts

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn some of Michel van Biezen, Einstein, and other thoughts of What is Space Made of? Next video in this series can be see

From playlist ASTRONOMY 31 WHAT IS SPACE MADE OF?

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The Human Body in Space

The Human Body in Space - What happens to your body in space? Start learning with Brilliant today for FREE: http://brilliant.org/aperture Follow me on Instagram: https://www.instagram.com/mcewen/ Space is the final frontier. But you know, it’s not like space has a lot going on. There is q

From playlist Science & Technology 🚀

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Interstellar flight: 10 Hard Facts

We can build powerful rockets able to carry people and machines into orbit, or even vault them to the moon. But our fastest spacecraft don't hold a candle to the distances that define Interstellar Flight. So what's on the drawing boards? What futuristic designs and fuel options promise to

From playlist Spaceten

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EARTH FROM SPACE: Like You've Never Seen Before

Showing cities all over the world from orbit from North America to India with a dramatic Beethoven soundtrack.

From playlist Space Videos

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CGSR Seminar Series | War in Space: Strategy, Spacepower, Geopolitics

Speaker Biography Bleddyn Bowen primary research interests concern modern warfare, politics, and security in outer space, as well as classical strategic theory. Dr. Bowen provides research-led teaching in his 3rd year specialist module PL3144 Politics and War in Outer Space. He is the au

From playlist Center for Global Security Research

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10. The Four Fundamental Subspaces

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 10. The Four Fundamental Subspaces License: Creative Commons BY-NC-SA More information at http

From playlist MIT 18.06 Linear Algebra, Spring 2005

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[Lesson 11] QED Prerequisites - Tensor Product Spaces

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From playlist QED- Prerequisite Topics

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Nicolò Zava (3/17/23): Every stable invariant of finite metric spaces produces false positives

In computational topology and geometry, the Gromov-Hausdorff distance between metric spaces provides a theoretical framework to tackle the problem of shape recognition and comparison. However, the direct computation of the Gromov-Hausdorff distance between finite metric spaces is known to

From playlist Vietoris-Rips Seminar

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CGSR Seminar Series | U.S. National Security Space Strategy: The Cold War to the Present

Talk Abstract At the present time, U.S. government officials are faced with the increasingly complex task of protecting critical national security space infrastructure in a rapidly evolving threat environment. When placed in a historical context, we find that anxiety about space security

From playlist Center for Global Security Research

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Vice President Pence Calls for Human Missions to Moon, Mars at National Space Council

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From playlist Return to the Moon Playlist

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Sanjay Mishra: Preservation of Properties during Topological Equivalence of Function Space

Sanjay Mishra, Lovely Professional University Title: Preservation of Properties during Topological Equivalence of Function Space The study of convergence of sequence of functions is the most important and active area of research in theoretical mathematics that solve several problems of app

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Marvels of Space-Time | Episode 705 | Closer To Truth

Einstein showed that space and time are essentially the same thing-a single entity, space-time. But space and time seem so radically different. How could space and time be literally the same thing? Featuring interviews with Max Tegmark, J. Gott, Juan Maldacena, Fotini Markopoulou, and Joh

From playlist Closer To Truth | Season 7

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CS224W: Machine Learning with Graphs | 2021 | Lecture 19.2 - Hyperbolic Graph Embeddings

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Brc7vN Jure Leskovec Computer Science, PhD In previous lectures, we focused on graph representation learning in Euclidean embedding spaces. In this lecture, we in

From playlist Stanford CS224W: Machine Learning with Graphs

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Can You Believe It? #36 What is Space? (1 of TBD) Introduction

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn what is in the “space” in between our space. Previous video in this series can be seen at: https://youtu.be/zB-UTf8bP8

From playlist CAN YOU BELIEVE IT?

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What is a Tensor 13: Realization of a Vector Space

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From playlist What is a Tensor?

Related pages

Topological space | Euclidean geometry | Sphere-world | Vector space | Albert Einstein | Distance | Length contraction | Time | Carl Friedrich Gauss | Binary pulsar | Spatial analysis | Position (geometry) | Triangulation | Dimension | Three-dimensional space | Hulse–Taylor binary | Circumference | Imaginary number | Hyperbolic geometry | George Berkeley | Minkowski space | Parallel postulate | Spatial–temporal reasoning | Set (mathematics) | René Descartes | Pi | Function space | Henri Poincaré | Euclidean space | Infinity | Non-Euclidean geometry | Diameter | Shape of the universe | Manifold | Metric tensor | Principia Mathematica | Bernhard Riemann | State space (physics) | Isaac Newton | Circle | János Bolyai | Speed of light