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## The Trouble with Kant

*Anthony Quinton*

### in Of Men and Manners: Essays Historical and Philosophical

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199694556
- eISBN:
- 9780191731938
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199694556.003.0006
- Subject:
- Philosophy, History of Philosophy

This chapter discusses a fundamental problem with Kant, which is that he is a wild and intellectually irresponsible arguer. It focuses on one particular example of this failing. It is the account he ... More

## Kant's Teachers in the Exact Sciences

*Manfred Kuehn*

### in Kant and the Sciences

- Published in print:
- 2001
- Published Online:
- February 2006
- ISBN:
- 9780195133059
- eISBN:
- 9780199786169
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195133056.003.0002
- Subject:
- Philosophy, Philosophy of Science

This paper describes the local context of Kant’s scientific education. It provides an informed sense of what Kant’s scientific training was like by presenting each relevant member of the philosophy ... More

## Graph Theory: A Look Back—The Road Ahead

*Arthur Benjamin, Gary Chartrand, and Ping Zhang*

### in The Fascinating World of Graph Theory

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175638
- eISBN:
- 9781400852000
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175638.003.0013
- Subject:
- Mathematics, Applied Mathematics

This book concludes with an epilogue, which traces the evolution of graph theory, from the conceptualization of the Königsberg Bridge Problem and its generalization by Leonhard Euler, whose solution ... More

## The bridges of Königsberg: Graph theory

*Iwo Białynicki-Birula and Iwona Białynicka-Birula*

### in Modeling Reality: How Computers Mirror Life

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198531005
- eISBN:
- 9780191713033
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198531005.003.0010
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

A simple idea of drawing crude sketches made of line segments to visualize the solutions of some problems has developed over the years into a sophisticated branch of mathematics: graph theory. Simple ... More

## Euler: The Mathematics of Musical Sadness

*Peter Pesic*

### in Music and the Making of Modern Science

- Published in print:
- 2014
- Published Online:
- May 2017
- ISBN:
- 9780262027274
- eISBN:
- 9780262324380
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262027274.003.0010
- Subject:
- Music, History, Western

Throughout his life, the great mathematician Leonhard Euler spent most of his free time on music, to which he devoted his first book. This chapter discusses how he reformulated the ordering of ... More

## Jews and Trade in the Estate Economy

*Adam Teller*

### in Money, Power, and Influence in Eighteenth-Century Lithuania: The Jews on the Radziwiłł Estates

- Published in print:
- 2016
- Published Online:
- May 2017
- ISBN:
- 9780804798440
- eISBN:
- 9780804799874
- Item type:
- chapter

- Publisher:
- Stanford University Press
- DOI:
- 10.11126/stanford/9780804798440.003.0007
- Subject:
- Society and Culture, Jewish Studies

Jewish merchants were, with Radziwiłł encouragement, the dominant force in local markets. They were particularly important in allowing the estate administration to take advantage of new opportunities ... More

## Introducing Graphs

*Arthur Benjamin, Gary Chartrand, and Ping Zhang*

### in The Fascinating World of Graph Theory

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175638
- eISBN:
- 9781400852000
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175638.003.0001
- Subject:
- Mathematics, Applied Mathematics

This chapter provides an introduction to graphs, a mathematical structure for visualizing, analyzing, and generalizing a situation or problem. It first consider four problems that have a distinct ... More

## Traversing Graphs

*Arthur Benjamin, Gary Chartrand, and Ping Zhang*

### in The Fascinating World of Graph Theory

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175638
- eISBN:
- 9781400852000
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175638.003.0005
- Subject:
- Mathematics, Applied Mathematics

This chapter considers Eulerian graphs, a class of graphs named for the Swiss mathematician Leonhard Euler. It begins with a discussion of the the Königsberg Bridge Problem and its connection to ... More

## Mathematical Chemistry, a New Discipline

*Guillermo Restrepo*

### in Essays in the Philosophy of Chemistry

- Published in print:
- 2016
- Published Online:
- November 2020
- ISBN:
- 9780190494599
- eISBN:
- 9780197559666
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190494599.003.0023
- Subject:
- Chemistry, Theoretical Chemistry

THE AIM OF THIS chapter is to ponder and discuss the relationship between chemistry and mathematics, taking into account some early research we have performed on the subject (Restrepo and Schummer ... More

## What Makes a Scientific Explanation Distinctively Mathematical?

*Marc Lange*

### in Because Without Cause: Non-Causal Explanations in Science and Mathematics

- Published in print:
- 2016
- Published Online:
- December 2016
- ISBN:
- 9780190269487
- eISBN:
- 9780190269500
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780190269487.003.0001
- Subject:
- Philosophy, Philosophy of Science, General

This chapter studies scientific explanations that are “distinctively mathematical” because they work by showing that (roughly) the phenomenon to be explained is mathematically necessary. Many ... More

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