Why is infinity logically impossible?

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 ...

Why is infinity impossible?

Actual infinity is generally considered to be impossible because it goes against the laws of nature and our everyday experience. The set of natural numbers is infinite, a set that continues without termination. In other words, the task of counting all the natural numbers is endless.

Why is infinity so confusing?

Infinity isn't any ordinary number.

Equations have been manipulated so that infinity is used like other integers, Cheng writes in her book. But infinity is not an ordinary number and can't be treated as such, Cheng writes in her book. Adding, subtracting, or multiplying with infinity leads to a terribly confusing mess.

Is there a proof that infinity exists?

Although the concept of infinity has a mathematical basis, we have yet to perform an experiment that yields an infinite result. Even in maths, the idea that something could have no limit is paradoxical. For example, there is no largest counting number nor is there a biggest odd or even number.

Is an infinite universe impossible?

No. The universe may be infinite, but it has a finite number of elements. The rules of science mean that the number of elements that can be formed is finite, even if we have not formed all that are possible.

Is an Infinite Past Logically Absurd?

Do physicists think the universe is infinite?

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). The observable universe is centred on us.

Do scientists know if the universe is infinite?

Cosmologists aren't sure if the universe is infinitely big or just extremely large. To measure the universe, astronomers instead look at its curvature. The geometric curve on large scales of the universe tells us about its overall shape. If the universe is perfectly geometrically flat, then it can be infinite.

Can anything past infinity?

Infinity is a concept, not a number or a fixed boundary, and thus it cannot be passed. Infinity is the idea or concept of something that has no end. Infinity is endless and therefore cannot be reached. The expressions “beyond infinity” or “to infinity and beyond" simply represent limitless possibilities.

What's beyond the infinity?

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.

What is the paradox of infinity?

The paradox states that you can still fit another infinite number of guests in the hotel because of the infinite number of rooms. If the rooms were full, then there is a last room, which means that the number of rooms is countable. To solve this paradox, we must first make it clear that infinity is not a number.

What is 1% of infinity?

SO 1% of infinity is basically infinity.

Who said infinity does not exist?

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 ...

Who first thought of infinity?

Infinity is a mathematical concept originating from Zeno of Elia (~450 BC) who tried to show its “physical” impossibility. This resulted in the “arrow paradox”, but which was solved later on. Many mathematicians and physicists went on to try understanding infinity and to explain it by various theories and experiments.

How can a limit of infinity not exist?

tells us that whenever x is close to a, f(x) is a large negative number, and as x gets closer and closer to a, the value of f(x) decreases without bound. Warning: when we say a limit =∞, technically the limit doesn't exist. limx→af(x)=L makes sense (technically) only if L is a number.

Is there an edge to infinity?

And although our observable universe has an edge, the universe as a whole is infinite and has no edge. As time marches on, more and more points in space have had time for their light to reach us. Therefore, our observable universe is constantly increasing in size.

Does infinity have a beginning?

Infinity Math Symbol

As the number line is endless, it is infinite, but as it also does not have a beginning.

What is the biggest infinity called?

The Absolute Infinite (symbol: Ω) is an extension of the idea of infinity proposed by mathematician Georg Cantor. It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite.

What comes before infinity?

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.

What is the largest known infinity?

The eight subsets are A, B, C, AB, AC, BC, ABC and the null set. So a higher infinity than ℵ_n is the set of all subsets of ℵ_n . ℵ_n+1 is equal to 2 raised to the power of ℵ_n. So there is no biggest infinity!

Is 2 times infinity bigger than infinity?

The answer

The infinity of limits has no size concept, and the formula would be false. The infinity of set theory does have a size concept and the formula would be kind of true. Technically, statement 2^∞ > ∞ is neither true nor false.

What is the biggest number other than infinity?

There is no biggest, last number … except infinity. Except infinity isn't a number. But some infinities are literally bigger than others.

How many zeros are in infinity?

There are no zeros in infinity. There are no numbers in infinity because infinity is not a number. Infinity is an idea that represents something outside the bounds of our number system.

What was there before the universe?

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. Or at least, that's what we've been told by physicists for the past several decades.

Who created the universe?

Many religious persons, including many scientists, hold that God created the universe and the various processes driving physical and biological evolution and that these processes then resulted in the creation of galaxies, our solar system, and life on Earth.

What is outside of the universe?

The trite answer is that both space and time were created at the big bang about 14 billion years ago, so there is nothing beyond the universe. However, much of the universe exists beyond the observable universe, which is maybe about 90 billion light years across.