Why is infinity not possible?
Aristotle postulated that an actual infinity was impossible, because if it were possible, then something would have attained infinite magnitude, and would be "bigger than the heavens." However, he said, mathematics relating to infinity was not deprived of its applicability by this impossibility, because mathematicians ...
Up to now, all the uses of infinity in physics have de facto been of the first rather than the second kind. Physicists have found it convenient to use the concept as a mathematical idealization where infinity occurs as a limit of large numbers, even though in physical reality there is no infinity of anything.
In summary there is as yet no consensus as to whether infinities exist in the physical world. In the absence of concrete scientific answers it makes sense to turn to philosophers. "I think it's very important to get physicists and philosophers together," says Aguirre.
Infinity is unlimited and does not end. You would not be able to plot infinity on a number line so, therefore, it is not real. Another example of an imaginary number is the square root of -1.
Imagining “infinity” in our minds is certainly no simple task, but it can't be deemed as impossible since there are many different ways of thinking about it and envisioning it.
The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655.
If a set is too large to be put in one-to-one correspondence with the positive integers, it is called uncountable. Cantor's views prevailed and modern mathematics accepts actual infinity as part of a consistent and coherent theory.
The paradox arises from one of the most mind-bending concepts in math: infinity. Infinity feels like a number, yet it doesn't behave like one. You can add or subtract any finite number to infinity and the result is still the same infinity you started with.
Infinity has no end
So we imagine traveling on and on, trying hard to get there, but that is not actually infinity. So don't think like that (it just hurts your brain!). Just think "endless", or "boundless". If there is no reason something should stop, then it is infinite.
Briefly, two infinite beings can not coexist because the infinity of one would be a limitation of the other. Aquinas, from what I remember, perhaps from commentaries, also argues in this vein that only in an infinite being could essence and existence be the same.
What is behind infinity?
Not only is the infinity of decimals bigger than that of the counting numbers – there is no biggest infinity. Beyond infinity is another infinity, and beyond that is yet another… and even after you've reached an infinity of infinities, there's still another infinity beyond that.
Abstract. The fundamental principle of the philosophy of Benedict de Spinoza is the necessary and absolute infinity of God. He defined God as an absolutely infinite being. This concept is the starting point of his philosophy.
The eight subsets are A, B, C, AB, AC, BC, ABC and the null set. So a higher infinity than ℵn is the set of all subsets of ℵn . ℵn+1 is equal to 2 raised to the power of ℵn. So there is no biggest infinity!
If the “number before infinity” makes sense at all, the answer is “infinity”. When you add 1 to any infinity, you wind up with the same infinity.
: The ideal point at the right end of the number line. With this definition, there is nothing (meaning: no real numbers) larger than infinity.
So, infinity is not real in the scientific sense. Nevertheless, physicists use infinity all the time. Take for example the size of the universe. In most contemporary models, the universe is infinitely large.
The human mind has infinite potential. I do mean infinite. There is no limit to the number of ways that we could organize our lives and society. The average human brain contains approximately 100 billion nerve cells or neurons.
It is 1729. Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.
. If you add one to infinity, you still have infinity; you don't have a bigger number.
Mathematically, if we see infinity is the unimaginable end of the number line. As no number is imagined beyond it(no real number is larger than infinity). The symbol (∞) sets the limit or unboundedness in calculus.
Is Omega bigger than infinity?
INFINITY IS THE BIGGEST NUMBER FOLLOWED BY OMEGA (even though they are not real numbers) thats the answer to your question.
Summary: Albert Einstein accepted the modern cosmological view that the universe is expanding long after many of his contemporaries. Until 1931, physicist Albert Einstein believed that the universe was static.
Infinity squared equals infinity, for most means and purposes. And annoyingly, it's the same infinity.
So in summary, a paradox cannot exist in a given body of logic unless it is the trivial one. Since humans tend not to believe that every statement is true, we believe that there are no paradoxes in our reality.
Infinity has no beginning, no beginning can have no end. Considering infinity is an idea, something without an end, how do you get one infinity bigger than another?
Despite having more numbers than atoms in the universe, trying to prove that your integer is bigger than anyone else's integer has continued through the centuries. The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100.
Google is the word that is more common to us now, and so it is sometimes mistakenly used as a noun to refer to the number 10100. That number is a googol, so named by Milton Sirotta, the nephew of the American mathematician Edward Kasner, who was working with large numbers like 10100.
Many others such as Bertrand Russell doubted the existence of infinity in various forms and fought against the axioms of the mainstream mathematical community which were in flux at that time. Once, the existence of infinity was one of the biggest debates in the mathematical community.
The universe we live in may not be the only one out there. In fact, our universe could be just one of an infinite number of universes making up a "multiverse." Though the concept may stretch credulity, there's good physics behind it. The universe we live in may not be the only one out there.
If the universe is infinite, does that mean there is an infinite number of "me"? No. Because the universe is infinite there is a possibility that there are more of you,but not necessarily. If so that would mean that there would be an infinite number of everything and never just one.
Is Pi bigger than infinity?
Q: Is pi bigger than infinity? A: No. Infinity is a value greater than any countable number. π is somewhat greater than 3, and smaller than 4, and both 3 and 4 are definitely countable.
Answer: 1,000,000,000,000,000,000,000,000,000,000. Step-by-step explanation: this number is sepbrillion.
Everyone loves to pull out infinity, or the fabled “infinity plus one.” Maybe if you were inclined to do so, you pulled out the googol or the googolplex. Smaller than infinity, but really big numbers each.
“Infinity” in the Bible
The Lord God, the maker of heaven and earth, repeatedly describes Himself as infinite in power (almighty), dominion (everywhere-present), and understanding (everything-knowing). These terms speak of His infinite sovereignty, authority, grandeur, and majesty.
There is no biggest, last number … except infinity. Except infinity isn't a number. But some infinities are literally bigger than others.
It's something that characterises things that never end. The list of natural numbers 1, 2, 3, 4, ...., for example, or an infinitely long straight line that starts at a point just in front of you and stretches on forever, straight ahead.
1% of infinity as the same kind of infinity from which you made 1% of. Infinity/100=infinity.
Eternity vs Infinity
While infinity is something that cannot be expressed or measured in units or measurement, eternity is something that is present at all times, something that has no end or beginning.
Googolplex may well designate the largest number named with a single word, but of course that doesn't make it the biggest number. In a last-ditch effort to hold onto the hope that there is indeed such a thing as the largest number… Child: Infinity! Nothing is larger than infinity!
| Name | The Number | Symbol |
|---|---|---|
| septillion | 1,000,000,000,000,000,000,000,000 | Y |
| sextillion | 1,000,000,000,000,000,000,000 | Z |
| quintillion | 1,000,000,000,000,000,000 | E |
| quadrillion | 1,000,000,000,000,000 | P |
What number is after trillion?
After a billion, of course, is trillion. Then comes quadrillion, quintrillion, sextillion, septillion, octillion, nonillion, and decillion.
Googol? Notice how it's spelled: G-O-O-G-O-L, not G-O-O-G-L-E. The number googol is a one with a hundred zeros.
In the Ordinals or in the Cardinals (used extensively in set theory), infinity isn't just a number, it is an entire range of numbers. And yes, in all of these systems, infinity is greater than one.
There are all sorts of thinkable things beyond, or larger than, this set. Consider, for example, the set of rational numbers. But the elements of these two sets can be put in one-to-one correspondence. In that sense, their sizes are equally infinite, so we have not actually gone to a larger infinity.
There's a limit to how much of the universe we can see. The observable universe is finite in that it hasn't existed forever. It extends 46 billion light years in every direction from us. (While our universe is 13.8 billion years old, the observable universe reaches further since the universe is expanding).
Not only is the infinity of decimals bigger than that of the counting numbers – there is no biggest infinity. Beyond infinity is another infinity, and beyond that is yet another… and even after you've reached an infinity of infinities, there's still another infinity beyond that.
The sidewise eight, ∞, is not infinity. As commonly used in math, it means “increasing without bound.” A number can get bigger and bigger and eventually get to one followed by a trillion zeros. Even though this is a really big number, it is not even close to infinity. There is still an infinite number of numbers to go.
Different infinite sets can have different cardinalities, and some are larger than others. Beyond the infinity known as ℵ0 (the cardinality of the natural numbers) there is ℵ1 (which is larger) … ℵ2 (which is larger still) … and, in fact, an infinite variety of different infinities.
In the beginning, there was an infinitely dense, tiny ball of matter. Then, it all went bang, giving rise to the atoms, molecules, stars and galaxies we see today.
The simple answer is, "Yes, it is possible to stop time. All you need to do is travel at light speed." The practice is, admittedly, a bit more difficult. Addressing this issue requires a more thorough exposition on Special Relativity, the first of Einstein's two Relativity Theories.
Does space have an end?
No, they don't believe there's an end to space. However, we can only see a certain volume of all that's out there. Since the universe is 13.8 billion years old, light from a galaxy more than 13.8 billion light-years away hasn't had time to reach us yet, so we have no way of knowing such a galaxy exists.
Mathematically, if we see infinity is the unimaginable end of the number line. As no number is imagined beyond it(no real number is larger than infinity).
...
Limits Approaching Infinity.
| x | y=2x |
|---|---|
| 10 | 20 |
| 100 | 200 |
| ... | ... |
: The ideal point at the right end of the number line. With this definition, there is nothing (meaning: no real numbers) larger than infinity.
Answer and Explanation: There is no number before infinity. It is possible to represent infinity minus one as a mathematical expression, but it does not actually equal anything or have any real mathematical value.
Yet even this relatively modest version of infinity has many bizarre properties, including being so vast that it remains the same, no matter how big a number is added to it (including another infinity). So infinity plus one is still infinity.
