Add to ORKGIn his correspondence with Grigory Mints, the famous logician Georg Kreisel noticed that many results of constructive mathematics seem easier-to-prove than the corresponding classical (non-constructive) results -- although he noted that these results are still far from being simple and the corresponding open problems are challenging. In this paper, we provide a possible explanation for this empirical observation
We report on our efforts to explore geometry using constructive mathematics and intuitionistic logic...
The thesis examines two dimensions of constructivity that manifest themselves within foundational s...
AbstractThis paper introduces Bishop's constructive mathematics, which can be regarded as the constr...
In his correspondence with Grigory Mints, the famous logician Georg Kreisel noticed that many result...
Constructive mathematics, mathematics in which the existence of an object means that that we can act...
Constructive mathematics, mathematics in which the existence of an object means that that we can act...
The problem was solved by Artin in 1927, [2], using the typical non-constructive machinery of modern...
Abstract. A number of classical theories are interpreted in analogous theories that are based on int...
Kurt Gödel (1906–1978) shook the mathematical world in 1931 by a result that has become an icon of 2...
The central dierence between working in constructive rather than classical mathematics is the meanin...
The point of using constructive methods in mathematics is to explicitly exhibit any object or algor...
The traditional method of doing mathematics is primarily based on classical logic. By doing mathemat...
• Many processes from the physical world are described by mathematical equations. • Traditional (non...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
It is well known that classical theorems, when viewed from a constructive perspective, come apart a...
We report on our efforts to explore geometry using constructive mathematics and intuitionistic logic...
The thesis examines two dimensions of constructivity that manifest themselves within foundational s...
AbstractThis paper introduces Bishop's constructive mathematics, which can be regarded as the constr...
In his correspondence with Grigory Mints, the famous logician Georg Kreisel noticed that many result...
Constructive mathematics, mathematics in which the existence of an object means that that we can act...
Constructive mathematics, mathematics in which the existence of an object means that that we can act...
The problem was solved by Artin in 1927, [2], using the typical non-constructive machinery of modern...
Abstract. A number of classical theories are interpreted in analogous theories that are based on int...
Kurt Gödel (1906–1978) shook the mathematical world in 1931 by a result that has become an icon of 2...
The central dierence between working in constructive rather than classical mathematics is the meanin...
The point of using constructive methods in mathematics is to explicitly exhibit any object or algor...
The traditional method of doing mathematics is primarily based on classical logic. By doing mathemat...
• Many processes from the physical world are described by mathematical equations. • Traditional (non...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
It is well known that classical theorems, when viewed from a constructive perspective, come apart a...
We report on our efforts to explore geometry using constructive mathematics and intuitionistic logic...
The thesis examines two dimensions of constructivity that manifest themselves within foundational s...
AbstractThis paper introduces Bishop's constructive mathematics, which can be regarded as the constr...
