Is Math Universal? Humans Bet 50,000 Years That It Is
Is Math Universal? Humans Bet 50,000 Years That It Is
My father taught science. My mother taught music. My wife teaches high school math right now, today, this year. I'm not bragging about any of it — because I was never good at math myself. I still don't love it, and every time I watch my son struggle with a worksheet, I think: he takes after me.
And yet. If intelligent life exists somewhere out there, I think it has math.
Not because I'm any kind of mathematician. Because the process seems inevitable: add, subtract, divide, multiply, and eventually the thinking deepens on its own, toward natural numbers, toward primes, toward strange things like imaginary numbers. If a civilization exists anywhere in this universe, can its evolution really be separated from math?
Maybe not. But right now, there's no evidence for any of it, not the civilization and not the math.
- The Assumption Hiding Inside Every Message We've Sent
- The Message We Carved Into Binary for a 50,000-Year Wait
- A Golden Record Betting Everything on Hydrogen and Pulsars
- Counting Before You Ever Get to Numbers
- What the "Math Is Universal" Claim Actually Gets Wrong
The Assumption Hiding Inside Every Message We've Sent
Every time humans have tried to talk to whoever might be out there, we've reached for math first, as if it were the one language guaranteed to translate.
Is math a universal language that aliens would share with us? Not necessarily. Interstellar-communication researchers, including NASA and the SETI Institute, treat counting, ratio, and periodicity as plausible shared ground for any technological civilization, a working assumption rather than a settled finding. The full symbolic system humans call math has no confirmed universal status.
Mathematicians have never agreed on where math comes from in the first place. One camp treats numbers and geometric relationships as things that exist whether anyone finds them or not, the way an uncharted island waits regardless of who sails past it. That's math as discovery. The other camp treats math as something built: axioms, symbols, and proof systems assembled by human minds in specific historical periods.
SETI Institute mathematician Carl DeVito split the difference in a way that matters here. He argued natural numbers (the simple act of counting) might exist independent of any one species, while the rest of math may be closer to a human artifact. It's a philosophical position, not a tested finding about how any other mind would think.
That distinction changes the whole question. "Math exists somewhere else" and "our math exists somewhere else" are not the same claim, and that gap is exactly where the confident version of this idea runs into trouble. NASA's 1976 report on recognizing extraterrestrial intelligence, along with Gérard Lemarchand's 2008 paper on interstellar communication, both lean on the first claim without ever proving the second. It's hard not to read that as the real finding here — not that math is universal, but that we've been quietly assuming the one part we can't test.
The Message We Carved Into Binary for a 50,000-Year Wait
In November 1974, humans did something almost absurd: we sent a message we knew wouldn't get an answer within any living reader's lifetime, or their great-great-grandchildren's either.
The Arecibo message packed almost nothing into almost everything. Its total length was 1,679 binary digits. That number was chosen on purpose. Because 1,679 is the product of two primes, 23 and 73, the bits can be arranged into a 23-by-73 rectangular grid. Laid out that way and read as pixels, the pattern resolves into the numbers one through ten, the atomic numbers of hydrogen, carbon, nitrogen, oxygen, and phosphorus, a strand of DNA, a stick figure of a human, the layout of the solar system, and a sketch of the telescope that sent it.
The bet built into that design is enormous. It assumes whoever receives it recognizes binary counting, works out the prime factorization on their own, and reads the resulting shape as information rather than noise. NASA describes the November 16, 1974 transmission (aimed at the globular cluster M13) as largely ceremonial. There's a practical reason: M13 sits roughly 25,000 light-years away, so the message alone needs about 25,000 years just to arrive. Even an immediate reply couldn't reach Earth until roughly 50,000 years after the original transmission.
The message itself is 1,679 bits, smaller than a single blurry photo today. The round trip to get a reply back is roughly 50,000 years.
Fifty thousand years isn't a research timeline. It's closer to a message in a bottle thrown off a cliff, toward an ocean, by someone who already knows they won't see where it lands. Maybe that's the more honest way to describe what Arecibo actually was: not a conversation, but a rehearsal for one, built on the most obvious shared ground humans had to start from.
A Golden Record Betting Everything on Hydrogen and Pulsars
Three years after Arecibo, humans tried again, this time sending actual objects off the solar system entirely.
The cover of the Voyager Golden Record is itself an instruction manual, written in diagrams instead of words. One symbol uses binary arithmetic to show how long the record takes to play, measured against roughly 0.70 nanoseconds, the timescale tied to a basic transition in the hydrogen atom. Another shows a full side running about an hour. A pulsar map marks fourteen pulsars around the sun, each one's spin rate doubling as both a compass and a calendar for whoever finds it.
Tucked among the more than 100 photographs pressed onto the record is one NASA simply calls the "mathematical definitions" image: counting, binary notation, addition, fractions, multiplication, laid out like a silent primer for a reader who has never seen an equals sign.
None of this has actually been confirmed to work. It depends entirely on a receiver who already knows what hydrogen is, what binary means, how to read a pulsar's period as a coordinate rather than a curiosity, and how to unfold a still image out of a sequence of lines. The Golden Record isn't proof that math translates across a civilization gap. It reads more like a record of how much humans were willing to bet that it might.
Counting Before You Ever Get to Numbers
Long before any civilization writes down a proof, something more basic has to be there first: a sense that three is more than two.
The evolutionary lineages leading to birds and primates diverged more than 300 million years ago, yet a 2017 study in Philosophical Transactions of the Royal Society B found rhesus macaques and carrion crows carry something like a shared toolkit for quantity: neurons that fire for specific amounts, representations that scale logarithmically, the same rough architecture showing up twice, independently.
That's not the whole story. A 2020 comparison of humans, macaques, and crows on matched tasks turned up real gaps: not every animal handles abstract quantity with the same flexibility, and the differences didn't line up neatly by how intelligent each one is usually assumed to be. It turns out crows and monkeys don't even agree with each other on this, never mind agreeing with us. That's not disagreement in any human sense; it's a difference in task performance and in the cognitive strategies each brain has on hand.
What that leaves is a strange middle ground. A basic sense of quantity may be common across very different brains, wired in more than once by evolution. But the leap from noticing "more" and "fewer" to building a proof (or arguing over whether infinity comes in more than one size) is a separate achievement, and nothing here says it happens the same way twice. If a sense of number is this uneven among creatures sharing one planet, it's hard to assume it lands identically on a planet we've never visited.
What the "Math Is Universal" Claim Actually Gets Wrong
So does math exist for whatever, if anything, is out there?
The honest answer needs a beat before it lands, because the popular version of this claim quietly stacks two different ideas into one. The first idea (that the physical universe follows patterns humans describe with math) has plenty of support. The second idea (that any intelligence encountering those same patterns would conceptualize them the way we do, with our symbols, our proofs, our choice of geometry) has none.
Every message humans have sent leans on the first idea alone. Arecibo, the Golden Record, and NASA's 1976 report on recognizing extraterrestrial intelligence (which discussed math and physics as possible common reference points) all assume shared physics translates into shared math. Lemarchand's 2008 paper is more careful than most on this point, noting that the assumption of a universal "language of nature" may itself smuggle in one very particular, very human way of conceptualizing that nature.
That's the part worth sitting with. Math is supposed to be the least cultural language humans have: stripped of accent, grammar, metaphor. And yet the case for its universality still starts from inside a human head, built from a human nervous system's specific way of noticing quantity, counting on fingers, and building school systems around it.
None of this makes the search pointless, or math a bad candidate for a first message. It's still probably the best one humans have. It just isn't the sure thing the phrase "universal language" makes it sound like. Maybe that gap, between our confidence and our evidence, is the more interesting discovery here. One that has nothing to do with aliens at all.
If you've read anything else I've written, you probably already know where I land on this. Whatever might be out there evolved too, most likely — which means a head, and eyes and ears sitting wherever they're most exposed to catch a signal first. Evolution rewards bonding with the group about as much as it rewards good eyesight, so maybe there's something out there with its own version of a drink shared among friends, its own version of play.
I still don't like math. I don't think that's going to change. But after all of this, I keep landing in the same place: I don't think any civilization invents math so much as it eventually bumps into it. The same way it eventually bumps into gravity, or fire, or the fact that its own eyes work better toward the front of its head. Discovery, not invention. At least the beginning of it.
Sources & References
- NASA, The Recognition of Extraterrestrial Intelligence (1976). ntrs.nasa.gov
- SETI Institute, Carl L. DeVito materials (2004). communicating.seti.org
- Lemarchand, "Counting on Beauty" (2008). arxiv.org
- Nieder et al., Philosophical Transactions of the Royal Society B (2017). pubmed.ncbi.nlm.nih.gov
- Nieder et al., Nature Communications (2020). pubmed.ncbi.nlm.nih.gov
- NASA APOD, "A Message from Earth" (2026). apod.nasa.gov
- NASA, "Golden Record Cover" / "Mathematical Definitions" (2024). science.nasa.gov
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