Today in Science: Bet you can't guess the largest number

July 13, 2023: Different types of infinity, spinning apes and the forgotten history of the world's first female anatomist. Enjoy!
Andrea Gawrylewski, Chief Newsletter Editor
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Different Infinities

The quick answer to the question "What is the largest number?" might be "infinity." But as with many things in mathematics, things are not that simple. You can always add 1 to infinity. AND there are different types of numbers (whole numbers, even numbers, integers), each with their own versions of infinity. "Real" numbers, for example, can be expanded infinitely by decimal values, and yet mathematicians cannot prove how many real numbers themselves truly exist

How it works: This all means that there are different kinds of infinities. You can reason it this way: if you count 1, 2, 3, 4 and so on, you certainly could go on infinitely. But the number set 1.1, 1.2, 1.3, 1.4 would have a higher total number count than the first set, so by comparison would have a larger infinity (send help).

Why this is cool: It took humanity millennia to figure out that normal rules of counting cannot be applied to infinity–and that it isn't, well, finite. The concept of infinity is unsettling by itself (at least for non-mathematicians like me) but the idea that different numbers have different sizes of infinity is diabolical. 

Let's Spin

One of the favorite types of play of wild chimpanzees and gorillas is spinning, usually by twirling around while holding onto a rope or vine. Gorillas in particular will spin themselves until they drop and fall over from dizziness. Examining video clips of 400 apes spinning, primatologists measured that the apes spun at 1.43 revolutions per second on average, and the fastest speed they reached was 3.3 turns per second.

Why this is cool: These spinning speeds could induce physiological "highs" in humans. So it's worth wondering if the apes spin for the same reason we do: to feel a little topsy-turvy for the fun of it.

What the experts say: "I can imagine this being sort of elaborated over millennia and over the course of human evolution," says Marcus Perlman, a linguist and researcher of communicative gesturing at the University of Birmingham in England. "That basic drive to seek altered perception and altered mental states could be common to our primate cousins." 
TODAY'S NEWS
• New tinnitus therapies that use acoustic and electrical stimulation are shown to reduce tinnitus by half. | 2 min read
• Was a 14th century teenager in Italy named Alessandra Giliani the western world's first female anatomist? Listen to the latest episode of The Lost Women of Science. | 8 min listen
• India is scheduled to launch its Chandrayaan-3 moon mission tomorrow morning. | 7 min read
Credit: Wirestock, Inc./Alamy Stock Photo
More News
EXPERT PERSPECTIVES
• People with dementia often experience paranoia and delusions as the disease progresses. Learning a new way to listen and interact with people with dementia helps the family cope with the disease, writes Steve Silberman, a journalist and author of a new book on neurodivergence. | 6 min read
More Opinion
I love the story of Alessandra Giliani. It's like if one of Shakespeare's heroines was a precocious young scientist. Check out some stories of other women researchers who have made big impacts on science (and didn't necessarily get much credit for it). 
I try to include discoveries from many branches of science in this newsletter. But tell me what you like or would like to see more of! Email me directly at newsletters@sciam.com. See you tomorrow!
—Andrea Gawrylewski, Chief Newsletter Editor
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