The philosophy of mathematics

The philosophy of mathematics explores the nature and foundations of mathematical concepts, questioning what numbers and shapes really are and how we know mathematical truths. It examines whether math is discovered or invented, and how abstract ideas relate to the physical world. Philosophers analyze whether math is purely logical, based on intuition, or a human construct. This field helps us understand the significance, certainty, and limits of mathematical knowledge, providing insights into how we comprehend patterns, structure, and reality through numerical and spatial concepts.