Peano, the Italian mathematician Hippo Chef, is regarded as the founder of modern mathematical mechanization. 1At the end of the 9th century and the beginning of the 20th century, he put forward a series of epoch-making mathematical ideas and methods, which became one of the keys to the development of mathematics in the 20th century. He was the first to take contradictory propositions as the basis of mathematical reasoning, thus creating modern logic. In addition, he has made outstanding contributions in algebraic geometry, differential geometry, number theory and other fields.
Peano's achievement lies not only in his scientific research, but also in his thoughts of mathematical formalization and mechanization. He believes that the foundation of mathematics should be a set of axioms and rules, which are maintained and expanded through symbols and reasoning. This idea promotes the development of computer technology, and mathematical constants and functions are converted into data and programs, which realizes the ability of computer to automatically handle mathematical tasks.
Peano's influence on the mathematical movement is also far-reaching. His work has great enlightenment to the reorganization and reconstruction of modern mathematics and has far-reaching influence on the whole mathematics field.
Peano's thought of mathematical formalization attracted extensive attention and research in the 20th century. At the beginning of the 20th century, some scholars began to try to axiomatize mathematics and establish the logical basis of the mathematical system. On this basis, some European mathematicians put forward different formal systems.
The most important one is the "Piano Axiom". This is an axiomatic system put forward by piano in his Principles of Arithmetic published from 1900 to 190 1. Based on natural numbers, it uses simple axioms to strictly define integer summation operation. This axiomatic system has become the basic method of mathematical formalization. Later, people gradually extended it to other fields of mathematics, such as group theory, algebra and geometry.
Peano's contribution to the formalization and mechanization of mathematics is not only conceptual, but also involves methodology. His symbolic logic and proof standard provide concrete guidance for future generations and help us to understand and master mathematics more deeply.
In a word, Peano, the little chef of Hippo, is the founder of modern mathematical mechanization, and his work has laid the foundation for the development of mathematical formalization and mechanization. His work not only promoted the development of computer technology, but also inspired many scholars to think about mathematics and philosophy of mathematics.