What was the most important discovery made in the field of mathematics?

A. Mitropolsky). In my understanding, the proof of the Poincare Conjecture by the Russian mathematician Grigory Perelman (2002-2003) is the greatest mathematical discovery in the modern era. This happened almost 100 years after Henri Poincaré formulated this hypothesis in 1904.

What was the first mathematical proof?

The first proof in the history of mathematics is considered to be when Thales proved that the diameter of a circle divides a circle into two equal parts. This is the earliest known recorded attempt at proving mathematical concepts.

What is a good mathematical proof?

A mathematical proof is an argument which convinces other people that something is true. Math isn’t a court of law, so a “preponderance of the evidence” or “beyond any reasonable doubt” isn’t good enough.

Who is the most important mathematician?

The 10 best mathematicians

• Girolamo Cardano (1501-1576), mathematician, astrologer and physician.
• Leonhard Euler (1707-1783).
• Carl Friedrich Gauss (1777-1855).
• Georg Ferdinand Cantor (1845-1918), German mathematician.
• Paul Erdos (1913-96).
• John Horton Conway.
• Russian mathematician Grigory Perelman.
• Terry Tao.

Who discovered the mathematical proof?

Euclid of Alexandria
It was Euclid of Alexandria who first formalized the way that we now think about mathematics. Euclid had definitions and axioms and then theorems—in that order. There is no gainsaying the assertion that Euclid set the paradigm by which we have been practicing mathematics for 2300 years.

What is the most advanced mathematical proofs use in reasoning?

Proof by induction is a more advanced method of proving things, and to be honest, something that took me a while to really grasp. This method is used to show that all elements in an infinite set have a certain property. For example, we may want to prove that 1 + 2 + 3 + … + n = n (n + 1)/2.

Why are mathematical proofs important?

According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.

What is a computer aided proof of a theorem?

Most computer-aided proofs to date have been implementations of large proofs-by-exhaustion of a mathematical theorem. The idea is to use a computer program to perform lengthy computations, and to provide a proof that the result of these computations implies the given theorem.

What is the first mathematical theorem verified by a computer?

In 1976, the four color theorem was the first major theorem to be verified using a computer program . Attempts have also been made in the area of artificial intelligence research to create smaller, explicit, new proofs of mathematical theorems from the bottom up using machine reasoning techniques such as heuristic search.

What is a proof in math?

A proof is a rhetorical device for convincing another mathematician that a given statement (the theorem) is true. Thus a proof can take many different forms. The most traditional form of mathematical proof is that it is a tightly knit sequence of statements linked together by strict rules of logic.

What is the greatest mathematical discovery in the modern era?

In my understanding, the proof of the Poincare Conjecture by the Russian mathematician Grigory Perelman (2002-2003) is the greatest mathematical discovery in the modern era. This happened almost 100 years after Henri Poincaré formulated this hypothesis in 1904.