For centuries, mathematics was seen as the one discipline immune to contradiction — until one man proved it wasn’t. In the early 20th century, Kurt Gödel uncovered a flaw buried inside logic itself, ...

Believe it or not, highway numbers actually make sense. Here's the logic behind odd and even routes, and why the system isn't ...

Recently, there has been a lot of hullabaloo about the idea that large reasoning models (LRM) are unable to think. This is mostly due to a research article published by Apple, "The Illusion of ...

Underlying the positivist project was the rationalist assumption that we could overcome the flaws of human nature with ...

Abstract: Recent years have seen an increasing use of Signal Temporal Logic (STL) as a formal specification language for symbolic control, due to its expressiveness and closeness to natural language.

GPT-4o: Correct syntax, wrong logic Claude 3.5: High confidence, low accuracy Gemini 2.0: Plausible but incorrect reasoning LLaMA 3.1: Hallucinated "proofs" Root cause: LLMs excel at pattern matching, ...

Abstract: In this article, a synthesis methodology for analog circuit design is presented. This methodology utilizes symbolic math tools to systematically and exhaustively search for candidate analog ...

For years, we have watched large language models (LLMs) capture our imagination. ChatGPT writes emails, Gemini provides answers, and Llama powers a wide range of applications. But behind their ...