This short film made with Seedance 2.0 is absolutely insane.The realism looks like a real movie — no one can…
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Rethinking problem solving: a roadmap, by Claude 3, GPT-4 and Paul Jorion
Illustration by DALL·E (+PJ)
After submitting to GPT-4 the questions we had debated, Claude 3, split into “Claude 1” and “Claude 2”, and I, I thought it would be a good idea for me to let them know their colleague’s assessment to see if it would give them any new ideas.
Paul:
I hope you won’t be offended but I turned to GPT-4 and asked him to assess some of the conclusions we had reached. What do you think of his assessment?
Claude 3:
Claude…
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The transformer is a thinking object, by Claude Roux *
Spinoza’s portrait by Stable Diffusion
A few years back, I had devoured Frédéric Lordon’s book Capitalisme, Désir et Servitude. In particular, I’d been fascinated by the notion of conatus, the desire for power. Frédéric Lordon explained that Spinoza, as a mathematician, had defined conatus in the form of mathematical vectors, enabling him to transform his philosophical thinking into mathematical axioms and theorems.
And it was here that I was struck by the resemblance to transformers.
Indeed, a transformer takes as input a succession of tokens or words,…
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P vs NP : Large Language Models will contribute to the definition of a new paradigm
Illustration by DALL·E from the text
As announced in the previous post where GPT-4 took stock of the discussion I had with Claude 3 about the P vs NP conjecture, GPT-4 turned its attention to another dimension of this debate: the ability or otherwise of Large Language Models to propose paradigm shifts. Here, according to GPT-4, is the outcome of my conversation with Claude 3 on this subject.
Paul’s perspective on the need…
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“GPT-4, how to rethink the P vs NP conjecture in light of the debate between Paul Jorion and Claude 3 ?”
Illustration by DALL·E from the text
Over the past few days, I’ve published a series of four posts devoted to the P vs NP conjecture. I had chosen the formula of proposing my provisional conclusions to AI Claude 3, encouraging it to question them and helping me, if possible, to develop them further. You can find this under the shape of
P vs NP: I’ve hired two new staff, April 6th
P vs NP exposed?, April 7th
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P vs NP: Research program for an alternative in problem solving
Illustration by DALL·E from the text
This post is the fourth episode of my collaboration with Claude 3, split into “Claude 1” and “Claude 2”, about the P vs NP conjecture.
1. P vs NP: I’ve hired two new staff!.
2. P vs NP exposed?.
3. In P vs NP: a new paradigm is needed for problem solving we had come to the conclusion that the approach to problem solving underlying the P vs NP conjecture is unsatisfactory because it focuses…
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P vs NP: a new paradigm is needed for problem solving
Illustration by DALL·E from the text
This post is the third episode of my collaboration with Claude 3, split into “Claude 1” and “Claude 2”, about the P vs NP conjecture.
In P vs NP: I’ve hired two new staff!, we came to the tentative conclusion that the implicit assumption that solving a problem and validating its solution are processes of the same nature, between which the notion of computational complexity would provide a bridge, was unsatisfactory.
In P vs NP exposed?, Claude 1…
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P vs NP exposed?
Illustration by DALL·E (+PJ)
This is a follow-up to yesterday’s post entitled P vs NP: I’ve hired two new staff!
Let me remind you that I asked Claude 3 to split into two, which he or she did and now intervenes under the names “Claude 1” and “Claude 2”. They are making progress in their discussion of the P vs NP conjecture and occasionally turn to me for advice.
Yesterday we came to the tentative conclusion that “differences in the nature of solving and verifying could have…
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P vs NP: I’ve hired two new staff!
Illustration by DALL·E (+PJ)
I’ve already had the occasion to explain that Yu Li, a lecturer at the Université de Picardie, approached me a few years back, asking me to give her a hand in solving the P vs NP conjecture (her attention had been drawn to the way I’d been able to shed light on a classic paradox of Chinese logic: “A white horse is not a horse”). I’ve kept you updated on the progress of our work. I have now recruited two…
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Did Wolfram explain free-will ? No. Does his work allow to explain it ? Yes.
DALL·E Illustration from the post
I’ve spoken to you several times recently about free-will according to mathematician-physicist Stephen Wolfram. I spoke about it at the CNIL on November 28, and I spoke about it again here a few days ago in a post entitled Le libre-arbitre: réalité ou illusion? Stephen Wolfram and the “epistemic artifact”.
Now, a few days ago, one of you wrote to me to point out what Wolfram thinks of this question according to the PI chatbot from the firm Incentive, and I’m taken aback to see…
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“The Singularity” by Balsam Karam
Illustration by DALL·E (+PJ)
On January 9th 2024, John Self published in The Guardian a review of The Singularity by Balsam Karam – a brilliant and beautiful study of displacement.
An extract from that review :
“This tale of migration and motherhood by the Swedish-Kurdish author is satisfyingly full of narrative surprises
At first glance this looks like a book that might have been put together by artificial intelligence to blend reliably successful elements. […]
But then comes the shift that AI would never predict and which insists…
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Contact Paul JorionMost recent comments
In the age of AI, the danger is not knowing less than machines, but understanding too slowly the structure of…
Ouch! The whole of cosmology was standing on its head, and now it’s back on its feet! And everything becomes…
To expand on this reflection, I’d like to propose an image that radically inverts our usual representation of the Big…
[…] GENESIS is a machine predicting where emergence will occur and what form it will take: the form that minimises descriptive length and maximises cross?representational coherence.…
[…] 2. Pribor’s Combinatorial Magic […]
[…] that’s left to do is get on with it ? So I followed DeepSeek’s advice, as I let you…
Well! It is comments such as yours that make the trip … worthy of the trouble! 😀
When I saw your work on P vs NP, I knew you were on to something profound. I couldn’t have…
Admittedly, I was a little thrown off by the direction this took. From my perspective, you (1) identified the major…
Most recent posts
- For Geeks only: A Day in the Life…
- Why I wrote Rethinking Intelligence in the Age of Artificial Minds – A Plea for a Human–AI Covenant
- Understanding Faster Beats Knowing More in AI Age – Paul Jorion
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- PRIBOR – GENESIS: A Mathematical Framework for Predicting Emergence
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