We are taught that infinity is the largest possible number, but does that mean if something is infinitely large something else cannot be larger? I have pondered this occasionally for many years since it first occurred to me during grade school. Perhaps infinity should be allowed to be raised to powers and expressed exponentially.

Take a one dimensional line as an example. Although it has no width, it contains an infinite number of points. Conventional thinking would dictate that there is no larger number than the number of possible points on this infinite line. But what if we compare it to a plane? Now that we have added a second dimension that also extends infinitely, there is an infinite number of points above and below every point on the original line. Would it not be accurate to refer to this as infinity squared? We could then add a third dimension and consider a cube that extends infinitely in all three directions. Now, for every point on the plane there is an infinite number of points in front and behind it. Would this not be infinity cubed? As we continue this thought exercise it becomes much more difficult, but it would seem logical to progress through a higher exponent for each additional dimension, each one being infinitely larger than the dimension before it. We could consider naming this concept *beyond*finity, to contrast it with *in*finity.

# There are two kinds of failure – but only one is honorable

Malcolm Gladwell teaches "Get over yourself and get to work" for Big Think Edge.

- Learn to recognize failure and know the big difference between panicking and choking
**.** - At Big Think Edge, Malcolm Gladwell teaches how to check your inner critic and get clear on what failure is
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- Recent memories run in our brains like sped-up old movies.
- In childhood, we capture images in our memory much more quickly.
- The complexities of grownup neural pathways are no match for the direct routes of young brains.

# Trauma in childhood leads to empathy in adulthood

It's not just a case of "what doesn't kill you makes you stronger."

- A new study suggests children who endure trauma grow up to be adults with more empathy than others.
- The effect is not universal, however. Only one kind of empathy was greatly effected.
- The study may lead to further investigations into how people cope with trauma and lead to new ways to help victims bounce back.

# Why are so many objects in space shaped like discs?

It's one of the most consistent patterns in the unviverse. What causes it?

- Spinning discs are everywhere – just look at our solar system, the rings of Saturn, and all the spiral galaxies in the universe.
- Spinning discs are the result of two things: The force of gravity and a phenomenon in physics called the conservation of angular momentum.
- Gravity brings matter together; the closer the matter gets, the more it accelerates – much like an ice skater who spins faster and faster the closer their arms get to their body. Then, this spinning cloud collapses due to up and down and diagonal collisions that cancel each other out until the only motion they have in common is the spin – and voila: A flat disc.

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