The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics

2000 ◽  
Vol 84 (499) ◽  
pp. 143
Author(s):  
A. Robert Pargeter ◽  
Ivars Peterson
Keyword(s):  
Mathematical Tourist ◽  
Modern Mathematics

The Mathematical Tourist-Snapshots of Modern Mathematics

1989 ◽  
Vol 73 (464) ◽  
pp. 147
Author(s):  
Gordon Habbishaw ◽  
I. Peterson
Keyword(s):  
Mathematical Tourist ◽  
Modern Mathematics

A Priority and Application: Philosophy of Mathematics in the Modern Period

2009 ◽  
Author(s):  
Lisa Shabel
Keyword(s):  
Early Modern ◽  
Mathematical Reasoning ◽  
Philosophy Of Mathematics ◽  
Mathematical Practice ◽  
Natural World ◽  
Pure Mathematics ◽  
Philosophical Account ◽  
Mathematical Ontology ◽  
To Come ◽  
Modern Mathematics

The state of modern mathematical practice called for a modern philosopher of mathematics to answer two interrelated questions. Given that mathematical ontology includes quantifiable empirical objects, how to explain the paradigmatic features of pure mathematical reasoning: universality, certainty, necessity. And, without giving up the special status of pure mathematical reasoning, how to explain the ability of pure mathematics to come into contact with and describe the empirically accessible natural world. The first question comes to a demand for apriority: a viable philosophical account of early modern mathematics must explain the apriority of mathematical reasoning. The second question comes to a demand for applicability: a viable philosophical account of early modern mathematics must explain the applicability of mathematical reasoning. This article begins by providing a brief account of a relevant aspect of early modern mathematical practice, in order to situate philosophers in their historical and mathematical context.

Lectures on Modern Mathematics. Volume 1

1964 ◽  
Vol 15 (3) ◽  
pp. 67-68
Author(s):  
R O Gibson
Keyword(s):  
Modern Mathematics
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