Bishop's mathematics

Bishop's mathematics emphasizes a constructive approach, focusing on explicitly building mathematical objects rather than assuming their existence by non-constructive means. It prioritizes clarity and computational content, ensuring that proofs provide concrete methods for constructing functions, numbers, or sets. This philosophy aims to align mathematics with computational reality, fostering a deeper understanding of algorithms and constructive reasoning, and avoiding reliance on abstract, non-constructive principles often used in classical mathematics. Overall, Bishop’s approach seeks to develop mathematics that is both rigorous and directly linked to practical, computational applications.