Add to ORKGSome of the most beautiful proofs in mathematics are produced when a concept from one area is used to solve a problem in another area. Without giving away too much of the explanation of the title, we simply say that this type of process is used in this article to investigate a phenomenon that appears to be somewhat unexpected, and perhaps even counter-intuitive
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
In the mathematical writings that have come down to us from ancient China, proofs did not aim at est...
Batterman ([2010]) raises a number of concerns for the inferential conception of the applicability o...
Alan Baker argues that mathematical objects play an indispensable explanatory role in science. There...
Although there is a consensus among philosophers of mathematics and mathematicians that mathematical...
The notion of proof has long played a key role in the study of mathematics. It is in my opinion the ...
There are certain topics in mathematics where ‘philosophy’ (in the broadest sense) is likely to intr...
In many areas of mathematics, simpler-to-describe cases are often more difficult to prove. In this p...
This article continues the theme of offering multiple proofs of a single result, following entirely...
In his correspondence with Grigory Mints, the famous logician Georg Kreisel noticed that many result...
International audienceThis paper studies internal (or intra-)mathematical explanations, namely those...
The aim of the paper is to study the role and features of proofs in mathematics. Formal and informal...
In this paper we will begin with some general methodological remarks about mathematical explanations...
The literature on mathematical explanation contains numerous examples of explanatory, and not so exp...
We explore teaching mathematicians’ views on the benefits of studying proof in the basic university ...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
In the mathematical writings that have come down to us from ancient China, proofs did not aim at est...
Batterman ([2010]) raises a number of concerns for the inferential conception of the applicability o...
Alan Baker argues that mathematical objects play an indispensable explanatory role in science. There...
Although there is a consensus among philosophers of mathematics and mathematicians that mathematical...
The notion of proof has long played a key role in the study of mathematics. It is in my opinion the ...
There are certain topics in mathematics where ‘philosophy’ (in the broadest sense) is likely to intr...
In many areas of mathematics, simpler-to-describe cases are often more difficult to prove. In this p...
This article continues the theme of offering multiple proofs of a single result, following entirely...
In his correspondence with Grigory Mints, the famous logician Georg Kreisel noticed that many result...
International audienceThis paper studies internal (or intra-)mathematical explanations, namely those...
The aim of the paper is to study the role and features of proofs in mathematics. Formal and informal...
In this paper we will begin with some general methodological remarks about mathematical explanations...
The literature on mathematical explanation contains numerous examples of explanatory, and not so exp...
We explore teaching mathematicians’ views on the benefits of studying proof in the basic university ...
Without having a clear definition of what proof is, mathematicians distinguish proofs from other typ...
In the mathematical writings that have come down to us from ancient China, proofs did not aim at est...
Batterman ([2010]) raises a number of concerns for the inferential conception of the applicability o...