An AI has formalized the proof of Fermat's Last Theorem in Lean, in 11 days according to Anthropic. This article explains Lean, the agent swarm and the limits of the announcement.
Highlights
More Posts
Personalized AI that runs locally lets you keep knowledge in your own documents, databases and work processes and stay in control of sensitive data. Unlike cloud AI such as ChatGPT or Copilot, local AI offers digital sovereignty, transparency and protection against unwanted data sharing. This approach is GDPR-compliant and gives companies a strategic competitive advantage through controlled knowledge processing.
AI databases use artificial intelligence to make company knowledge from many sources accessible: they understand documents and answer questions in natural language. Unlike conventional databases, search is based on semantic relationships and content instead of exact value matching. This gives you more intuitive access to information across the formats and systems of a company.
Modern AI can reliably read and structure image objects such as receipts, even when they are faded, tattered or poorly scanned – something classic OCR systems often fail at. Rule-based validation logic supports the quality of the analysis and ensures that a receipt is correct. The technology can be transferred to many applications, for example identifying objects in images.
AI-based image analysis can detect defects in components in real time with high accuracy, making manual quality checks almost unnecessary. A custom AI model trained on the customer's own data guarantees data security and independence from external cloud services. The technology can be transferred to many similar tasks by adapting the model with new training data.
An AI called Fable was effectively banned by the US government because it seemed too dangerous. Before that, an AI model called Mythos Preview discovered thousands of security vulnerabilities in software systems. The models learn through machine learning, analyzing data and correcting their mistakes, much like the human brain. Artificial intelligence ultimately rests on random processes, which enable variation and thus innovation.
Microsoft Copilot is an AI-powered assistant integrated into Microsoft applications that is meant to boost productivity. There are risks, however, such as AI hallucinations, data protection concerns and security risks from access to company data. Alternatives could be local, sovereign and open-source AI systems.
Artificial intelligence enables new methods in market research by simulating buyer types instead of surveying people. The AI solution Personas KI delivers fast, low-cost insights into how potential customers react and builds on a large data base of real marketing promotions. Sovereign AI ensures that companies keep control of their own data and can use it responsibly.
A step-by-step guide to building a local AI on your own computer that works with your own documents, with no external subscriptions or cloud services. It shows how to install Python, download an AI model and feed in your own documents to answer questions. This approach offers privacy and local control and is ideal for beginners without programming skills.
AI from Germany with an OpenAI-compatible API is available from Mittwald at a mini price with a fixed quota. Open-source models and pricing suit semi-professional projects.
The survey shows that companies above all look for secure, privacy-compliant AI systems. Using AI providers from the US carries security risks because of US surveillance laws, as data security is not guaranteed. Secure AI can only be operated locally to protect data as well as possible.











