Abstract. What do mathematicians mean when they use terms such as ‘deep’, ‘ele-gant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians ’ appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics. 1
We investigated whether mathematicians typically agree about the qualities of mathematical proofs. B...
Everyone is familiar with the measure of beauty that has been proposed by Birkhoff, the famous formu...
This paper explores the role of aesthetic judgements in mathematics by focussing on the relationship...
What do mathematicians mean when they use terms such as 'deep', 'elegant', and 'beautiful'? By apply...
<p>Data from the study reported in: </p> <p>Inglis, M. & Aberdein, A. (2015). Beauty is not simplici...
The aim of this work is to account for expressions like “Cantor’s diagonal proof is elegant” or “Eul...
Recent attempts at defining mathematical beauty fall roughly into two schools of thought. One takes ...
Mathematicians often conduct aesthetic judgements to evaluate mathematical objects such as equations...
Many important statements have been made about the value of aesthetics and beauty in mathematics. ...
In this paper I reflect on the nature of mathematical beauty, and examine the connections between ma...
It is a common thought that mathematics can be not only true but also beautiful, and many of the gre...
summary:The first part deals with views on mathematical beauty by Russell, Hardy and Platon. In the ...
Although mathematicians often use it, mathematical beauty is a philosophically challenging concept. ...
Mathematicians sometimes judge a mathematical proof to be beautiful and in doing so seem to be makin...
We present two different proofs of Pick’s theorem and analyse in what ways might be perceived as bea...
We investigated whether mathematicians typically agree about the qualities of mathematical proofs. B...
Everyone is familiar with the measure of beauty that has been proposed by Birkhoff, the famous formu...
This paper explores the role of aesthetic judgements in mathematics by focussing on the relationship...
What do mathematicians mean when they use terms such as 'deep', 'elegant', and 'beautiful'? By apply...
<p>Data from the study reported in: </p> <p>Inglis, M. & Aberdein, A. (2015). Beauty is not simplici...
The aim of this work is to account for expressions like “Cantor’s diagonal proof is elegant” or “Eul...
Recent attempts at defining mathematical beauty fall roughly into two schools of thought. One takes ...
Mathematicians often conduct aesthetic judgements to evaluate mathematical objects such as equations...
Many important statements have been made about the value of aesthetics and beauty in mathematics. ...
In this paper I reflect on the nature of mathematical beauty, and examine the connections between ma...
It is a common thought that mathematics can be not only true but also beautiful, and many of the gre...
summary:The first part deals with views on mathematical beauty by Russell, Hardy and Platon. In the ...
Although mathematicians often use it, mathematical beauty is a philosophically challenging concept. ...
Mathematicians sometimes judge a mathematical proof to be beautiful and in doing so seem to be makin...
We present two different proofs of Pick’s theorem and analyse in what ways might be perceived as bea...
We investigated whether mathematicians typically agree about the qualities of mathematical proofs. B...
Everyone is familiar with the measure of beauty that has been proposed by Birkhoff, the famous formu...
This paper explores the role of aesthetic judgements in mathematics by focussing on the relationship...