Larger than infinity
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 beyondfinity, to contrast it with infinity.
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A NASA astronomer explains how astronauts dispose of their, uh, dark matter.
- When nature calls in micro-gravity, astronauts must answer. Space agencies have developed suction-based toilets – with a camera built in to ensure all the waste is contained before "flushing".
- Yes, there have been floaters in space. The early days of space exploration were a learning curve!
- Amazingly, you don't need gravity to digest food. Peristalsis, the process by which your throat and intestines squeeze themselves, actually moves food and water through your digestive system without gravity at all.
She met mere mortals with and without the Vatican's approval.
- For centuries, the Virgin Mary has appeared to the faithful, requesting devotion and promising comfort.
- These maps show the geography of Marian apparitions – the handful approved by the Vatican, and many others.
- Historically, Europe is where most apparitions have been reported, but the U.S. is pretty fertile ground too.
A growing body of research shows promising signs that the keto diet might be able to improve mental health.
- The keto diet is known to be an effective tool for weight loss, however its effects on mental health remain largely unclear.
- Recent studies suggests that the keto diet might be an effective tool for treating depression, and clearing up so-called "brain fog," though scientists caution more research is necessary before it can be recommended as a treatment.
- Any experiments with the keto diet are best done in conjunction with a doctor, considering some people face problems when transitioning to the low-carb diet.
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