The relationship between mathematics and physics has been the subject of the study of philosophers, mathematicians and physicists since ancient times, and more recently by historians and educators. Generally regarded as a great intimacy relationship, mathematics has been described as an "essential tool for physics" and physics has been described as "a rich source of inspiration and insight in mathematics".
In his Physics , one of the topics Aristotle deals with is how the study of mathematicians is different from that of a physicist. Consideration of mathematics being a natural language can be found in Pythagorean ideas: the belief that "Numbers rule the world" and "All are numbers", and two millennia later also expressed by Galileo Galilei: "The book of nature is written in the language of mathematics".
Prior to providing mathematical evidence for formulas for spherical volumes, Archimedes used physical reasoning to find solutions (imagining body balance on a scale). From the seventeenth century, many of the most important advances in mathematics emerged motivated by the study of physics, and this continued in the following centuries (though, it has been established that from the nineteenth century, mathematics began to become increasingly independent of physics). The creation and development of calculus is closely related to the needs of physics: There is a need for new mathematical languages ​​to deal with the new dynamics emerging from the work of scholars such as Galileo Galilei and Isaac Newton. During this period there was little difference between physics and mathematics; for example, Newton considers geometry as a branch of mechanics. As time went on, the more sophisticated mathematics began to be used in physics. The current situation is that the mathematical knowledge used in physics is becoming increasingly sophisticated, as in the case of superstring theory.
Video Relationship between mathematics and physics
Philosophical issues
Some of the issues considered in mathematical philosophy are as follows:
- Explain the effectiveness of mathematics in the study of the physical world: "At this point, a puzzle emerges by itself which in all ages has an uneasy and restless mind How can it be mathematics, which is the product of human Mind that is not depending on the experience, so admirable according to the objects of reality? "--Albert Einstein, in Geometry and Experience (1921).
- Clearly describes mathematics and physics: For some results or discoveries, it is difficult to say to which area they belong: to mathematics or physics.
- What is the geometry of physical space?
- What is the origin of mathematical axioms?
- What is the influence of existing mathematics in the manufacture and development of physical theories?
- Is arithmetic a priori or synthetic? (from Kant, see synthetic-Analytic differences)
- What basically differs between doing a physical experiment to see the result and making a mathematical calculation to see the result? (From the Turing-Wittgenstein debate)
- Does GÃÆ'¶del's incompleteness theory imply that physical theories will always be incomplete? (from Stephen Hawking)
- Is math found or discovered? (the millennium-old question, raised among others by Mario Livio)
Maps Relationship between mathematics and physics
Education
Source of the article : Wikipedia
0 Comments