# Mathematical Beauty, Understanding, and Discovery

@article{Cellucci2015MathematicalBU, title={Mathematical Beauty, Understanding, and Discovery}, author={Carlo Cellucci}, journal={Foundations of Science}, year={2015}, volume={20}, pages={339-355} }

In a very influential paper Rota stresses the relevance of mathematical beauty to mathematical research, and claims that a piece of mathematics is beautiful when it is enlightening. He stops short, however, of explaining what he means by ‘enlightening’. This paper proposes an alternative approach, according to which a mathematical demonstration or theorem is beautiful when it provides understanding. Mathematical beauty thus considered can have a role in mathematical discovery because it can…

## 20 Citations

### The Importance of Surprise in Mathematical Beauty

- Education
- 2016

Synopsis Mathematicians, mathematics education researchers, and philosophers have written about mathematical beauty and many of the qualities commonly associated with it, such as simplicity, brevity,…

### Aesthetic Preferences in Mathematics: A Case Study

- Art, Philosophy
- 2018

Although mathematicians often use it, mathematical beauty is a philosophically challenging concept. How can abstract objects be evaluated as beautiful? Is this related to the way we visualise them?…

### Artistic Proofs: A Kantian Approach to Aesthetics in Mathematics

- Art, PhilosophyEstetika: The European Journal of Aesthetics
- 2019

This paper explores the nature of mathematical beauty from a Kantian perspective. According to Kant’s Critique of the Power of Judgment, satisfaction in beauty is subjective and non-conceptual, yet a…

### What is a Beautiful Experiment ? ( forthcoming in Erkenntnis )

- Art
- 2021

This article starts an engagement on the aesthetics of experiments and offers an account for analysing how aesthetics features in the design, evaluation and reception of experiments. I identify two…

### What is a Beautiful Experiment?

- ArtErkenntnis
- 2022

This article starts an engagement on the aesthetics of experiments and offers an account for analysing how aesthetics features in the design, evaluation and reception of experiments. I identify two…

### Beauty in Motion Through the Lens of Doppler’s Formula

- Physics
- 2020

Many founding fathers of science have underscored the importance of beauty in mathematical representations of natural phenomena and their connection with the beauty of the objects they represent.…

### Aesthetic values in science

- Philosophy
- 2017

Scientists often use aesthetic values in the evaluation and choice of theories. Aesthetic values are not only regarded as leading to practically more useful theories but are often taken to stand in a…

### MOTIVATED PROOFS: WHAT THEY ARE, WHY THEY MATTER AND HOW TO WRITE THEM

- PhilosophyThe Review of Symbolic Logic
- 2020

It is argued that motivated proofs promote understanding, convey new mathematical resources and stimulate new discoveries, thus have significant epistemic benefits and directly contribute to the efficient dissemination and advancement of mathematical knowledge.

### As Thurston says? On using quotations from famous mathematicians to make points about philosophy and education

- Mathematics
- 2020

It is commonplace in the educational literature on mathematical practice to argue for a general conclusion from isolated quotations from famous mathematicians. In this paper, we supply a critique of…

### Philosophy of mathematical practice: a primer for mathematics educators

- Philosophy
- 2020

In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice . In this paper we…

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