- #1
firelavarock
- 5
- 0
if I'm not mistaken, an infinitesimal is .000000...1
is this true?
is this true?
The infinitesimal problem is a mathematical concept that deals with the notion of infinitely small numbers. It arises when trying to divide a finite quantity into infinitely small parts, which can lead to paradoxes and inconsistencies in mathematical calculations.
The concept of the infinitesimal problem was first introduced by the ancient Greek philosopher Zeno of Elea in the 5th century BC. He used it to argue against the idea of motion and to challenge the foundations of calculus.
The infinitesimal problem was solved by the development of calculus in the 17th century by mathematicians such as Isaac Newton and Gottfried Leibniz. They introduced the concept of limits and infinite series, which allowed for the manipulation of infinitely small quantities without causing paradoxes.
The concept of the infinitesimal problem has many applications in fields such as physics, engineering, and economics. It is used to model and analyze continuous processes, such as motion, growth, and optimization, and to make accurate predictions and calculations in these fields.
Yes, the infinitesimal problem is still relevant today and remains a topic of discussion and research in mathematics. It has also been expanded upon and applied in other areas of study, such as non-standard analysis and computer science, leading to further developments and applications of this concept.