Pinned Tweet
Ask me anything.
I will be happy to answer some of your questions, and will try to reply to a portion of your questions below in the coming days.
I will be happy to answer some of your questions, and will try to reply to a portion of your questions below in the coming days.
202
93
593
249,151
“You are an explorer, and you represent our species, and the greatest good you can do is to bring back a new idea, because our world is endangered by the absence of good ideas.”
- Terence McKenna
- Terence McKenna
0
1
4
690
“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.”
- John Von Neumann, speech at Association for Computing Machinery meeting, 1947. Image: tinyurl.com/mravc4vr
- John Von Neumann, speech at Association for Computing Machinery meeting, 1947. Image: tinyurl.com/mravc4vr
1
6
22
1,323
I wonder if any AI can decipher this message? I created it here: vikingsbrand.co/pages/rune-tra…
3
0
9
1,481
Astronomy, mathematics, science, the universe.
Centuries before Galileo, Al-Biruni (b. 973) described the movements of the sun, earth, and moon. Al-Biruni was a Khwarazmian Iranian scholar and polymath during the Islamic Golden Age. [British Library Or. 8349, f. 31v]
Centuries before Galileo, Al-Biruni (b. 973) described the movements of the sun, earth, and moon. Al-Biruni was a Khwarazmian Iranian scholar and polymath during the Islamic Golden Age. [British Library Or. 8349, f. 31v]
2
10
63
3,338
Math.
31415926535897932384626433833462648323979853562951413. Source: Prime Curios, t5k.org/curios/page.ph…
31415926535897932384626433833462648323979853562951413. Source: Prime Curios, t5k.org/curios/page.ph…
8
13
67
6,784
Math.
Which "God" decided this would be the best way to set up the universe?
Euler's Prime-Generating Polynomial seems like a divine gift for its creation of a super-long string of prime numbers. The equation is f(n) = n² + n + 41 (or the similar form f(n) = n² - n + 41), and for consecutive integer values of n, specifically from 0 to 39 for the first form, and 1 to 40 for the second. Alas, the flood of primes eventually dries up.
It feels like a gift, a polynomial sieve for infinity. Or maybe a tease, or an attempt at heavenly humor...
Which "God" decided this would be the best way to set up the universe?
Euler's Prime-Generating Polynomial seems like a divine gift for its creation of a super-long string of prime numbers. The equation is f(n) = n² + n + 41 (or the similar form f(n) = n² - n + 41), and for consecutive integer values of n, specifically from 0 to 39 for the first form, and 1 to 40 for the second. Alas, the flood of primes eventually dries up.
It feels like a gift, a polynomial sieve for infinity. Or maybe a tease, or an attempt at heavenly humor...
14
20
144
9,840
Curious....
100s of mathematicians have signed up for the AI-Free Caucus. The list grows here: ahmath.org/members
100s of mathematicians have signed up for the AI-Free Caucus. The list grows here: ahmath.org/members
2
0
13
2,693
Math.
A mathematician emerges from a cave, hands you the paper below, and says: "Is it possible for a line to avoid passing through any locations where x and y are both rational)? The line may not be horizontal or vertical." What is your response?
A mathematician emerges from a cave, hands you the paper below, and says: "Is it possible for a line to avoid passing through any locations where x and y are both rational)? The line may not be horizontal or vertical." What is your response?
37
8
111
47,718
Mathematics.
A mathematician emerges from a cave, hands you the slip of paper below, and says: "Do we have the technology or brainpower to determine if the value for this expression is positive or negative?" What is your response?
A mathematician emerges from a cave, hands you the slip of paper below, and says: "Do we have the technology or brainpower to determine if the value for this expression is positive or negative?" What is your response?
75
22
337
106,023
Mathematics, nature, fractals, the universe.
"Flow of the Universe 03 Golden Spiral"
Visualization by Matthias Hauser, @hauserfoto, matthias-hauser.pixels.com, Used with permission.
"Flow of the Universe 03 Golden Spiral"
Visualization by Matthias Hauser, @hauserfoto, matthias-hauser.pixels.com, Used with permission.
4
16
75
4,512
"Since we cannot change reality, let us change the eyes which see reality."
~Nikos Kazantzakis, Report to Greco, 1965
~Nikos Kazantzakis, Report to Greco, 1965
0
12
60
3,709
Physics. Reality Explained.
In superstring theory, the extra dimensions of spacetime are sometimes conjectured to take the form of a 6-dimensional Calabi–Yau manifold.
Image: A slice of a 6D Calabi–Yau quintic manifold, adapted from Andrew J. Hanson, tinyurl.com/4ssc4yzu
In superstring theory, the extra dimensions of spacetime are sometimes conjectured to take the form of a 6-dimensional Calabi–Yau manifold.
Image: A slice of a 6D Calabi–Yau quintic manifold, adapted from Andrew J. Hanson, tinyurl.com/4ssc4yzu
7
14
111
6,176
ChatGPT and mathematics.
I asked ChatGPT to plot
x = 16*sin^3(t); y = 13*cos(t) − 5*cos(2t) − 2*cos(3t) − cos(4t)
and it created this beauty to warm your heart and make you quiver.
I asked ChatGPT to plot
x = 16*sin^3(t); y = 13*cos(t) − 5*cos(2t) − 2*cos(3t) − cos(4t)
and it created this beauty to warm your heart and make you quiver.
8
9
82
5,010
AlphaGo Zero learned Go through self-play alone, and became extremely competent. If you let AlphaGo Zero continue with self-play for decades, would it discover any deep secrets about the universe or reality? Would it reveal exquisite, beautiful geometric patterns in abstract human minds could never fathom? tinyurl.com/4w5ysd5y
2
3
35
3,223
First-known modern example of an ANTI-acknowledgment in a serious technical paper. ui.adsabs.harvard.edu/scan/manifest/…
9
38
310
18,506
Mathematics, physics, astronomy.
It is very unlikely for a tweet on "Free Falling Objects" to be retweeted. It lacks the kind of excitement required for a tweet to become popular and beloved.
Source (NASA): www1.grc.nasa.gov/beginners-guid…
It is very unlikely for a tweet on "Free Falling Objects" to be retweeted. It lacks the kind of excitement required for a tweet to become popular and beloved.
Source (NASA): www1.grc.nasa.gov/beginners-guid…
4
6
29
3,994
“The purpose of computing is insight, not numbers.”
- Richard Hamming, Numerical Methods for Scientists and Engineers, 1962.
Image: A two-dimensional visualisation of the Hamming distance. The color of each pixel indicates the Hamming distance between the binary x and y coordinates, modulo 16, in the 16-color system. tinyurl.com/4ync9ktd
- Richard Hamming, Numerical Methods for Scientists and Engineers, 1962.
Image: A two-dimensional visualisation of the Hamming distance. The color of each pixel indicates the Hamming distance between the binary x and y coordinates, modulo 16, in the 16-color system. tinyurl.com/4ync9ktd
5
10
107
6,235