Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


toledo1264612988.pdf (225.55 KB)

ETD Abstract Container

Abstract Header

A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics

Purser, David Thurman
http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988

Abstract Details

2010, Master of Arts, University of Toledo, College of Arts and Sciences.
I examine the methods of Georg Cantor and Kurt Gödel in order to understand how new symbolic innovations aided in mathematical discoveries during the early 20th Century by looking at the distinction between the lingua characterstica and the calculus ratiocinator in the work of Leibniz. I explore the dynamics of innovative symbolic systems and how arbitrary systems of signification reveal real relationships in possible worlds. Examining the historical articulation of the analytic/synthetic distinction, I argue that mathematics is synthetic in nature. I formulate a moderate version of mathematical realism called modal relationalism.
Madeline Muntersbjorn, PhD (Advisor)
Benjamin Pryor, PhD (Committee Member)
John Sarnecki, PhD (Committee Member)
Philosophy
Leibniz; Mathematics; Godel; Philosophy; Logic; Synthetic

Recommended Citations

Citations

  • Purser, D. T. (2010). A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics [Master's thesis, University of Toledo]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988

    APA Style (7th edition)

  • Purser, David. A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics. 2010. University of Toledo, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988.

    MLA Style (8th edition)

  • Purser, David. "A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics." Master's thesis, University of Toledo, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988

    Chicago Manual of Style (17th edition)

toledo1264612988
795
© 2010, all rights reserved.
This open access ETD is published by University of Toledo and OhioLINK.