In world of mathematics, countless brilliant minds dedicate their lives in an effort to prove the seemingly impossible. Interestingly enough, through the plethora of established proofs which has tremendously impacted the scientific world, a few false proofs have also survived the scrutiny of mathematicians. However, rather than simply dismissing such fallacy proofs as unfortunate mistakes, equally valuable lessons can be learned through the understanding of why such fallacy proofs were able to take on the façade of a real proof. In this paper, I aim to explore a few of such fallacy proofs and the lessons that may be extracted from their presence
Mathematical proof lies at the foundations of mathematics, but there are several notions of what mat...
The notion of proof is central to mathematics yet it is one of the most difficult aspects of the sub...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms...
This project has two goals: (1) to analyze the claims of mathematical fallibilism in order to show t...
According to the received view, genuine mathematical justification derives from proofs. In this arti...
Mathematics seems to have a special status when compared to other areas of human knowledge. This spe...
ABSTRACT: Mathematics seems to have a special status when compared to other areas of human knowledge...
This paper explores applications of concepts from argumentation theory to mathematical proofs. Note ...
A widely circulated list of spurious proof types may help to clarify our understanding of informal m...
Response to Fallacies, Flaws, and Flimflam by Ed Barbeau in The College Mathematics Journal, Vol. ...
This text explores the many transformations that the mathematical proof has undergone from its incep...
Mathematicians only use deductive proofs to establish that mathematical claims are true. They never ...
Some knowledge of what it means to construct a proof is an extremely important part of mathematics. ...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
Mathematical proof lies at the foundations of mathematics, but there are several notions of what mat...
The notion of proof is central to mathematics yet it is one of the most difficult aspects of the sub...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms...
This project has two goals: (1) to analyze the claims of mathematical fallibilism in order to show t...
According to the received view, genuine mathematical justification derives from proofs. In this arti...
Mathematics seems to have a special status when compared to other areas of human knowledge. This spe...
ABSTRACT: Mathematics seems to have a special status when compared to other areas of human knowledge...
This paper explores applications of concepts from argumentation theory to mathematical proofs. Note ...
A widely circulated list of spurious proof types may help to clarify our understanding of informal m...
Response to Fallacies, Flaws, and Flimflam by Ed Barbeau in The College Mathematics Journal, Vol. ...
This text explores the many transformations that the mathematical proof has undergone from its incep...
Mathematicians only use deductive proofs to establish that mathematical claims are true. They never ...
Some knowledge of what it means to construct a proof is an extremely important part of mathematics. ...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
Mathematical proof lies at the foundations of mathematics, but there are several notions of what mat...
The notion of proof is central to mathematics yet it is one of the most difficult aspects of the sub...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...