👉 Synthetic mathematics is an approach that aims to build mathematical theories and systems from first principles, often by starting with basic logical and computational foundations. It involves creating new mathematical structures and operations that can be rigorously defined and analyzed, sometimes using computer science techniques like formal verification and automated theorem proving. This method seeks to ensure that mathematical results are not only logically sound but also computationally efficient and applicable in practical scenarios, bridging the gap between abstract theory and real-world applications. By focusing on the underlying principles and mechanisms, synthetic mathematics provides a deeper understanding of mathematical concepts and can lead to innovations in areas like cryptography, algorithm design, and computational complexity.
