Idle/Random/whatever Thoughts of a Demented/Idle/Whatever Mind

1.  The Illusion of Thinking  - A recent paper from Apple's Machine Learning Research team challenges the idea that Large Reasoning Models (LRMs) can truly "think." The researchers argue that current methods for evaluating these models, which often use standard math and coding problems, are flawed due to potential data contamination and a focus on final answers rather than the reasoning process. Using controllable puzzles to test the models, the study found that even the most advanced LRMs experience a complete collapse in accuracy when the problem's complexity passes a certain point. Counterintuitively, as problems became more difficult, the models' "thinking" effort decreased, suggesting they "give up" rather than reason more deeply. The research identifies a significant gap between mimicking thought-like patterns and genuine, scalable reasoning, questioning the true capabilities of current AI.   My Take : Thinking is a complex p...

  1. How Many Decimals of Pi Do We Really Need? - This article explains that even for NASA's highest accuracy calculations, such as interplanetary navigation, only a small number of pi's decimals are needed. For example, JPL uses pi to the 15th decimal place (3.141592653589793). The article illustrates this by calculating the circumference of Voyager 1's distance from Earth, the circumference of Earth, and even the circumference of the known universe, demonstrating that only a limited number of decimal places are necessary for accurate calculations, even at vast scales. My Take : We often get super excited about accuracy and going to crazy lengths to achieve it. But, honestly, for any everyday functional use of pi, having 3 digits after the decimal gives you really good accuracy, which is usually within the range of error from other stuff anyway. In fact, that article mentions 37 decimals would be enough to calculate the circumference of the observable universe with the ac...