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

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

Bibliographic Details
Main Author: Purser, David Thurman
Language:English
Published: University of Toledo / OhioLINK 2010
Subjects:
Philosophy
Leibniz
Mathematics
Godel
Logic
Synthetic
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-toledo12646129882021-08-03T06:07:33Z A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics Purser, David Thurman Philosophy Leibniz Mathematics Godel Philosophy Logic Synthetic 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. 2010-01-27 English text University of Toledo / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988 http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Philosophy
Leibniz
Mathematics
Godel
Philosophy
Logic
Synthetic
spellingShingle Philosophy
Leibniz
Mathematics
Godel
Philosophy
Logic
Synthetic
Purser, David Thurman
A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics
author Purser, David Thurman
author_facet Purser, David Thurman
author_sort Purser, David Thurman
title A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics
title_short A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics
title_full A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics
title_fullStr A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics
title_full_unstemmed A Leibnizian Approach to Mathematical Relationships: A New Look at Synthetic Judgments in Mathematics
title_sort leibnizian approach to mathematical relationships: a new look at synthetic judgments in mathematics
publisher University of Toledo / OhioLINK
publishDate 2010
url http://rave.ohiolink.edu/etdc/view?acc_num=toledo1264612988
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AT purserdavidthurman leibnizianapproachtomathematicalrelationshipsanewlookatsyntheticjudgmentsinmathematics
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