Add to ORKGWith this text, we will first of all discuss a distinction, internal to mathematics, between "construction principles " and "proof principles " (see [Longo, 1999], [Longo, 2002]). In short, it will be a question of grasping the difference between the construction of mathematical concepts and structures and the role of proof, more or less formalised. The objective is also to analyse th
This thesis consists of three overlapping parts, where the first one centers around the possibility ...
The paper examines the interrelationship between mathematics and logic, arguing that a central chara...
Most philosophers still tend to believe that mathematics is basically about producing formal proofs....
The main intention of this book is to describe and develop the conceptual, structural and abstract t...
This paper briefly reviews some epistemological perspectives on the foundation of mathematical conce...
Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and trut...
(1991), and elsewhere offers the most plausible philosophy of mathematics: Mathematics is about stru...
The concept of proof is briefly illuminated from mathematical, philosophical and historical perspect...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Informally, structural properties of mathematical objects are usually characterized in one of two wa...
This paper shows how the debate about whether mathematics is a science of objects or structures is c...
I respond to the frequent objection that structural realism fails to sharply state an alternative to...
The paper proposes to amend structuralism in mathematics by saying what places in a structure and th...
The article analyzes the role of the concept of understanding in mathematical proof. Understanding ...
Informally, structural properties of mathematical objects are usually characterized in one of two wa...
This thesis consists of three overlapping parts, where the first one centers around the possibility ...
The paper examines the interrelationship between mathematics and logic, arguing that a central chara...
Most philosophers still tend to believe that mathematics is basically about producing formal proofs....
The main intention of this book is to describe and develop the conceptual, structural and abstract t...
This paper briefly reviews some epistemological perspectives on the foundation of mathematical conce...
Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and trut...
(1991), and elsewhere offers the most plausible philosophy of mathematics: Mathematics is about stru...
The concept of proof is briefly illuminated from mathematical, philosophical and historical perspect...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Informally, structural properties of mathematical objects are usually characterized in one of two wa...
This paper shows how the debate about whether mathematics is a science of objects or structures is c...
I respond to the frequent objection that structural realism fails to sharply state an alternative to...
The paper proposes to amend structuralism in mathematics by saying what places in a structure and th...
The article analyzes the role of the concept of understanding in mathematical proof. Understanding ...
Informally, structural properties of mathematical objects are usually characterized in one of two wa...
This thesis consists of three overlapping parts, where the first one centers around the possibility ...
The paper examines the interrelationship between mathematics and logic, arguing that a central chara...
Most philosophers still tend to believe that mathematics is basically about producing formal proofs....