Mathematical cognition and Quinian bootstrapping

2021 ◽  
pp. 106-123
Author(s):  
M. J. Cain
1989 ◽  
Vol 34 (3) ◽  
pp. 241-243
Author(s):  
Richard E. Mayer

2008 ◽  
Vol 100 (1) ◽  
pp. 30-47 ◽  
Author(s):  
Lynn S. Fuchs ◽  
Douglas Fuchs ◽  
Karla Stuebing ◽  
Jack M. Fletcher ◽  
Carol L. Hamlett ◽  
...  

2019 ◽  
Vol 55 ◽  
pp. 100683 ◽  
Author(s):  
Candace Walkington ◽  
Geoffrey Chelule ◽  
Dawn Woods ◽  
Mitchell J. Nathan

Author(s):  
Roi Wagner

This book examines the force of mathematics, what this force builds on, and how it works in practice by discussing mathematics not only from the point of view of applications but also from the point of view of its production. It explores the function of mathematical statements, their epistemological position, consensus in mathematics, and mathematical interpretation and semiosis. It also considers the notion of embodied mathematical cognition as well as the limitations of the cognitive theory of mathematical metaphor in accounting for the formation of actual historical mathematical life worlds. This introduction provides an overview of the current state of the philosophy of mathematics and presents a vignette on option pricing to give a concrete example of how mathematics relates to its wider scientific and practical context, with particular emphasis on the Black-Scholes formula.


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