is infinite. When approaching the concept of finite or infinite, our dimensional reality in existence of SpaceTime defines the realization of these concepts. Does the cosmos go on forever, or is outer space finite? 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. Cite It may be expanding in time, but the geometry of space, at any given time, is Euclidean. 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. eternal return). So there would be an infinite number of galaxies and planets in an infinite universe. For example, one could send the space Consider this. 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. 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. Temporal finitism. Similar constructions are possible in three dimensions, although they are harder to visualize. 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. Infinite space is boundless, borderless and eternal. Here he clarifies the concept of 'flatness', and explains why we may never get to know whether the Universe is finite or infinite. Time is comprised of past, present, and futureâa trinityâbut each aspect is by nature time. "The universe is immensely large and possibly infinite in volume. 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.. The "Macro-cosmos" is boundless, borderless and eternal a combination of space and energy in its multiple forms. Is the universe infinite? Having no boundary (as a sphere) is not the same as having no limits (as the same sphere). In the finite-dimensional case this is true in ZF and it's not necessary to get into the set-theoretic weeds like this. There has to be an end to this universe. The simplest topology that corresponds to Euclidean geometry is that of flat, infinite space. Using logic, argue whether space is finite or infinite. But it could be finite, merely giving the illusion of infinity Is Space Finite? 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. a planet forming around a star, or a galaxy forming), then in an infinite universe there will be an infinite number of that thing. But if they are, what can happen, will happen again and not only once but an infinite number of times. By providing a definition, you really helped to give a meaningful answer. However, being infinite, an infinite number of universes would be identical to ours, even down to the last atom, obeying the same physical laws. And there's times we use space to mean an infinite expanse: "Beyond the atmosphere, and solar system, space stretches out forever!" Hawking's model is finite; it proposed limits. Space is comprised of height, width, and depthâa trinityâbut each aspect is by nature space. The question of whether the universe is finite or infinite is an antinomy, an expression that contains its own contradiction. So by Occamâs razor, i.e., the parsimony of assumptions, we can conclude that in the absence of evidence to the contrary, the universe appears infinite." The space-finite versus space-infinite issue is undecided among cosmologists at present and there is some controversy about this heating up. In a cubic meter (or yard) of space. Alright, in a box of space about yay big (show with hands), thereâs 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 universe is comprised of three primary aspects: Space, Time, and Matter. 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 âfinite energy As for which of those three options is correct, there is insufficient information. Infinite time is a very different kettle of fish from infinite space. For example, sometimes we use "space" to mean a finite volume. Is space and time infinite? In that case, space would after all be infinite, not finite. 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. We know the universe changes over time (you only have to know there was a big bang to realise this). It would mean this Universe is revolving around something on the outside of it. If we look at the ancient saying as above so below. 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 \(\{1,x,x^2,\ldots, x^k\}\). 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 canât access enough of it to know. Hawking on a finite universe. 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. Is the universe infinite? It would also imply that the "singularity" applied to everywhere in an infinite space. Opposite, an infinite model is one where the number of inputs grow infinite. Is outer space finite or infinite? This is an opinion based question, but use facts as much as possible to support your argument. Well since I think their is a multitude of other universes if not an infinite amount. a) Space is Infinite (one thing existing must be infinite) but our spherical universe is finite. Explore this age-old question. BY JEAN-PIERRE LUMINET, GLENN D. STARKMAN AND JEFFREY R. WEEKS Illustrations by Bryan Christie Design STRUCTURE COPYRIGHT 2002 SCIENTIFIC AMERICAN, INC. Is the universe infinite? Matter is finite. 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 it is infinite now, then it was already infinite at the Planck Time. A vector space that is not of infinite dimension is said to be of finite dimension or finite dimensional. 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. The concept of an infinite universe would also imply an infinite number of us (you, me, and everyone else) â¦ 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. Time and space are infinite. If there is a finite probability of something happening (ie. 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. Many cosmologists prefer to assume space-infinite because it simplifies the math or for various other reasons. Isaiah 55v9 indicates that it is infinite. "There's a lot of space in my garage!" It is often said that space is infinite, but that isnât always meant literally. âWhether space is finite is something people have been asking since ancient times, and probably before that,â says mathematician Jeffrey Weeks from Canton, New York. 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. If there's infinite space, I'd assume there's infinite matter unless given a very good reason to think otherwise. 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. The illusion is that of an infinite hyperbolic space, even though this universe is really finite. Temporal finitism is the doctrine that time is finite â¦ 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**. The universe is immense (functionally infinite); therefore, God is infinite. Explore this age-old question. 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