Does the cosmos go on forever, or is outer space finite? We unite these two finite things, matter and universe, by realising that matter, as a spherical standing wave formed by other matter's out waves, determines the size of our finite spherical universe. It may be expanding in time, but the geometry of space, at any given time, is Euclidean. It is often said that space is infinite, but that isn’t always meant literally. "The universe is immensely large and possibly infinite in volume. Explore this age-old question. In the finite-dimensional case this is true in ZF and it's not necessary to get into the set-theoretic weeds like this. Here he clarifies the concept of 'flatness', and explains why we may never get to know whether the Universe is finite or infinite. Isaiah 55v9 As the heavens are higher than the earth, so are my ways higher than your ways and my thoughts than your thoughts **Cue answers saying you can't use the bible as a science book**. By providing a definition, you really helped to give a meaningful answer. Similar constructions are possible in three dimensions, although they are harder to visualize. In that case, space would after all be infinite, not finite. Using logic, argue whether space is finite or infinite. Alright, in a box of space about yay big (show with hands), there’s a finite number of particles that can possibly exist in that region, and those particles can have a finite number of configurations considering their spin, charge, position, velocity and so on. The illusion is that of an infinite hyperbolic space, even though this universe is really finite. Is the universe infinite? A vector space that is not of infinite dimension is said to be of finite dimension or finite dimensional. Opposite, an infinite model is one where the number of inputs grow infinite. For example, sometimes we use "space" to mean a finite volume. But it could be finite, merely giving the illusion of infinity Is Space Finite? However, there are lots of scientists who are working on what COULD have been "before" the Planck Time, and their ideas require that the universe be finite. Matter is finite. While topology has mainly been developed for infinite spaces, finite topological spaces are often used to provide examples of interesting phenomena or counterexamples to plausible sounding conjectures. If we look at the ancient saying as above so below. The universe is immense (functionally infinite); therefore, God is infinite. The universe is comprised of three primary aspects: Space, Time, and Matter. The question of whether the universe is finite or infinite is an antinomy, an expression that contains its own contradiction. Cite The argument works fine in infinite dimensions except that you need the axiom of choice to guarantee that infinite-dimensional vector spaces have bases, and in fact "every vector space has a basis" is equivalent to the axiom of choice; this is due to Blass.. Space is comprised of height, width, and depth–a trinity–but each aspect is by nature space. The space-finite versus space-infinite issue is undecided among cosmologists at present and there is some controversy about this heating up. Hawking's model is finite; it proposed limits. a planet forming around a star, or a galaxy forming), then in an infinite universe there will be an infinite number of that thing. Many cosmologists prefer to assume space-infinite because it simplifies the math or for various other reasons. In a cubic meter (or yard) of space. If there is a finite probability of something happening (ie. Explore this age-old question. eternal return). This interview was conducted in 2001 at ESA's European Space Technology Centre (ESTEC) in Noordwijk, the Netherlands, during an international workshop to discuss the scientific programme of the Planck satellite. An infinite universe (unbounded metric space) means that there are points arbitrarily far apart: for any distance d, there are points that are of a distance at least d apart. Having no boundary (as a sphere) is not the same as having no limits (as the same sphere). “Whether space is finite is something people have been asking since ancient times, and probably before that,” says mathematician Jeffrey Weeks from Canton, New York. BY JEAN-PIERRE LUMINET, GLENN D. STARKMAN AND JEFFREY R. WEEKS Illustrations by Bryan Christie Design STRUCTURE COPYRIGHT 2002 SCIENTIFIC AMERICAN, INC. It would also imply that the "singularity" applied to everywhere in an infinite space. Is outer space finite or infinite? Infinite time is a very different kettle of fish from infinite space. Hawking on a finite universe. For example, one could send the space The "Macro-cosmos" is boundless, borderless and eternal a combination of space and energy in its multiple forms. This is an opinion based question, but use facts as much as possible to support your argument. The answer to the biggest of all questions, of whether the Universe is finite or infinite, might be encoded in the Universe itself, but we can't access enough of it to know. And there's times we use space to mean an infinite expanse: "Beyond the atmosphere, and solar system, space stretches out forever!" a) Space is Infinite (one thing existing must be infinite) but our spherical universe is finite. We know the universe changes over time (you only have to know there was a big bang to realise this). So by Occam’s razor, i.e., the parsimony of assumptions, we can conclude that in the absence of evidence to the contrary, the universe appears infinite." In mathematics, a finite topological space is a topological space for which the underlying point set is finite.That is, it is a topological space for which there are only finitely many points. This paradox was only answered in the nineteenth century with the development of non-Euclidean geometry: a sphere, for example, is a space which is finite but has no edge. If there's infinite space, I'd assume there's infinite matter unless given a very good reason to think otherwise. Is space and time infinite? is infinite. The answer to the biggest of all questions, of whether the Universe is finite or infinite, might be encoded in the Universe itself, but we can’t access enough of it to know. Isaiah 55v9 indicates that it is infinite. It would mean this Universe is revolving around something on the outside of it. That is not, by itself, proof that it is infinite (there are finite figures that are geometrically flat, even in 2-dimensions) but an infinite universe would be the easiest explanation. However, being infinite, an infinite number of universes would be identical to ours, even down to the last atom, obeying the same physical laws. If I now define a vector space to be finite-dimensional if it satisifes $(f)$ and infinite dimensional if it satifies $(i)$, I definitely need to make sure that every vector space is either finite-dimensional or infinite-dimensional and cannot be both. There has to be an end to this universe. Consider this. When it happens again, it is then merely a new observation of the same event and this is called the Eternal Reccurence (a.k.a. For example, if we consider the vector space consisting of only the polynomials in \(x\) with degree at most \(k\), then it is spanned by the finite set of vectors \(\{1,x,x^2,\ldots, x^k\}\). Temporal finitism. Infinite space is boundless, borderless and eternal. Is the universe infinite? Temporal finitism is the doctrine that time is finite … Time and space are infinite. The simplest topology that corresponds to Euclidean geometry is that of flat, infinite space. When approaching the concept of finite or infinite, our dimensional reality in existence of SpaceTime defines the realization of these concepts. Time is comprised of past, present, and future–a trinity–but each aspect is by nature time. Currently we don't know if space is curved and finite or infinite and without end, we are not able to observe beyond our visible horizon but there is no known reason why the Universe can't be bigger or even infinite in size. The concept of an infinite universe would also imply an infinite number of us (you, me, and everyone else) … Well since I think their is a multitude of other universes if not an infinite amount. Is the universe infinite? But if they are, what can happen, will happen again and not only once but an infinite number of times. So there would be an infinite number of galaxies and planets in an infinite universe. If it is infinite now, then it was already infinite at the Planck Time. "There's a lot of space in my garage!" A finite universe is a bounded metric space, where there is some distance d such that all points are within distance d of each other. Finite space —finite energy As for which of those three options is correct, there is insufficient information. Because we cannot observe space beyond the edge of the observable universe, it is unknown whether the size of the Universe in its totality is finite or infinite. I think the last possibility could be checked out, because there should be further tests of whether space conforms to Euclid's geometry rather than to Riemann's in which the straight line returns upon itself.