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