Reviews main topics from high school Algebra I and Algebra II emphasizing functions and problem solving. Other concepts and skills covered include algebraic operations, factoring, linear equations, graphs, exponents, radicals, complex numbers, quadratic equations, radical equations, inequalities, systems of equations, compound inequalities, absolute value in equations and inequalities. Primarily for students in Humanities and Social Sciences.
And so we try to answer it scientifically.
In order to do that, we want to start with a scientific definition of nothing. In our nearby Universe, nothing is hard to come by. We are surrounded by matter, radiation, and energy everywhere we look. We would still exist in curved spacetime.
The very presence of nearby objects with mass or energy distorts the very fabric of the Universe, meaning that if we want to truly achieve a state of physical nothingness, we cannot have anything in our Universe at all. Physically, that ideal case would be true nothingness.
No matter, no radiation, no energy, no spatial curvature. We can imagine existing in completely empty, void space, infinitely far away from the nearest star, galaxy, atom or photon. The spacetime around us, rather than having curvature to it, would appear as completely flat.
The only physical freedom that such nothingness could have is the freedom to expand or contract, depending on the nature of this nothingness. Recently, Edward Feser picked on me — among others such as Hawking, but me in particular — for using this scientific definition of nothing.
Yet it is a form of this very nothingness that I have just imagined with you that — to the best of our scientific knowledge — the entire Universe is born from, and that it will return to in the distant future.
You removed all the matter, energy, and sources of curvature from your Universe. You are left with empty spacetime. But if you start looking at ever smaller scales, this picture breaks down. Empty space itself vibrates and curves, and there is a fundamental uncertainty in the energy content — at any given time — of nothingness.
This quantum vacuum — on these very small scales — manifests this fundamental uncertainty by spontaneously creating pairs of particles-and-antiparticles for very brief amounts of time.
Even in empty space. This is not merely some theoretical quantum prediction. This is experimental fact. Take a vacuum, and inside of it, place two parallel, uncharged metal plates. In the absence of these vacuum fluctuations, you would expect the force between the plates to be dominated by gravitation.
But if you bring these plates close enough together, you find that these vacuum fluctuations cause the plates to attract one another!
Now, combine this with the one thing this empty spacetime is allowed to do: Flickr user Absolute Chaos; apologies that the animation is so large!
These fluctuations — if the Universe is expanding quickly enough — can get caught up in the expansion of spacetime so thoroughly that they do not re-annihilate, but instead get stretched across the empty spacetime of your Universe!
If the Early Universe existed in a metastable, or false vacuumstate, it would continue to stretch these quantum fluctuations across the Universe — on all scales — for as long as you remained in that state.
Ned Wright, and see his cosmology tutorial for more details on this. But this state does not last forever; there is a more stable state that the Universe will eventually find, just as a ball placed atop the hill above will eventually roll down into the valley below.
When this happens, matter and energy spontaneously generate during the transition from the metastable state to the more stable state, through a process known as reheating.
And as the Universe ages, the more dense regions grow and grow — under the influence of gravity and over many millions and then billions of years — into the stars, galaxies and clusters that fill our Universe today.Symbolic logic is by far the simplest kind of logic—it is a great time-saver in argumentation.
Additionally, it helps prevent logical confusion. The modern development begin with George Boole in the 19th century. Health Analytics (BS), 4-Year. Learn the analytical, technical, and healthcare knowledge and skills you need to improve healthcare quality, delivery, and efficiency using Big Data.
This course is a study of formal reasoning methods through informal fallacies, class logic and introduction to propositional logic.
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Ashford PHI Week 3 Complete PHI Week 3 DQ 1 Considering the fallacies discussed in Chapter Four of an Introduction to Logic, construct three . ACCOUNTING [back to top]. ACC Essentials of Accounting 3 cr.
Covers reading and understanding financial statements, internal control requirements for safeguarding assets, and accounting procedures necessary to complete the entire accounting cycle, including journals, ledgers, and financial statements.