The world's oldest known botanical art, from the Halafian culture of northern Mesopotamia around 6000 BCE, hides fascinating ...

Halafian pottery shows that early agricultural societies practiced advanced mathematical thinking through plant-based art long before writing.

Long before anyone wrote down a number, early villagers were painting flowers with a precision that looks suspiciously like ...

Over 8,000 years ago, early farming communities in northern Mesopotamia were already thinking mathematically—long before numbers were written down. By closely studying Halafian pottery, researchers ...

RLVR amplifies reasoning patterns that already exist. Qwen2.5-Math can uniquely do “code reasoning”-solving math by writing Python💻 (without execution). Code reasoning correlates with correctness (64 ...

Mathematicians excel at handling complexity and uncertainty. Mathematical reasoning strategies aren't just useful for dilemmas involving numbers. We can apply math mindsets to improve our approach to ...

Building upon the foundational insights from Unlocking Complexity: From Math Constants to Modern Games, this article delves into how intricate mathematical patterns manifest within the realm of modern ...