Kant, infinity and his first antinomy
Kant's antinomies are exercises designed to illustrate the limits of human reasoning. He skillfully juxtaposes pairs of arguments and exposes the dangerous propensity for human reasoning to stretch beyond the conditioned and into the transcendental ideas of the unconditional. Kant believes this...
| Main Author: | |
|---|---|
| Language: | en_US |
| Published: |
2016
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/2144/14092 |
| id |
ndltd-bu.edu-oai-open.bu.edu-2144-14092 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-bu.edu-oai-open.bu.edu-2144-140922019-01-08T15:36:31Z Kant, infinity and his first antinomy Lincoln, James William Philosophy Antinomy Infinity Kant Set theory Kant's antinomies are exercises designed to illustrate the limits of human reasoning. He skillfully juxtaposes pairs of arguments and exposes the dangerous propensity for human reasoning to stretch beyond the conditioned and into the transcendental ideas of the unconditional. Kant believes this is a natural process and affirms the limits of pure reason in so much as they should prevent us from believing that we can truly know anything about the unconditional. His first antimony addresses the possibility of a beginning in time or no beginning in time. This thesis will focus on this first antinomy and critically assesses it in set theoretic terms. It is this author's belief that the mathematical nuances of infinite sets and the understanding of mathematical objects bear relevance to the proper interpretation of this antinomy. Ultimately, this composition will illustrate that Kant's argument in the first antinomy is flawed because it fails to account for infinite bounded sets and a conceptualization of the infinite as a mathematical object of reason. 2016-01-26T18:48:22Z 2016-01-26T18:48:22Z 2013 2016-01-22T18:53:43Z Thesis/Dissertation https://hdl.handle.net/2144/14092 en_US |
| collection |
NDLTD |
| language |
en_US |
| sources |
NDLTD |
| topic |
Philosophy Antinomy Infinity Kant Set theory |
| spellingShingle |
Philosophy Antinomy Infinity Kant Set theory Lincoln, James William Kant, infinity and his first antinomy |
| description |
Kant's antinomies are exercises designed to illustrate the limits of human reasoning. He skillfully juxtaposes pairs of arguments and exposes the dangerous propensity for human reasoning to stretch beyond the conditioned and into the transcendental ideas of the unconditional. Kant believes this is a natural process and affirms the limits of pure reason in so much as they should prevent us from believing that we can truly know anything about the unconditional. His first antimony addresses the possibility of a beginning in time or no beginning in time. This thesis will focus on this first antinomy and critically assesses it in set theoretic terms. It is this author's belief that the mathematical nuances of infinite sets and the understanding of mathematical objects bear relevance to the proper interpretation of this antinomy. Ultimately, this composition will illustrate that Kant's argument in the first antinomy is flawed because it fails to account for infinite bounded sets and a conceptualization of the infinite as a mathematical object of reason. |
| author |
Lincoln, James William |
| author_facet |
Lincoln, James William |
| author_sort |
Lincoln, James William |
| title |
Kant, infinity and his first antinomy |
| title_short |
Kant, infinity and his first antinomy |
| title_full |
Kant, infinity and his first antinomy |
| title_fullStr |
Kant, infinity and his first antinomy |
| title_full_unstemmed |
Kant, infinity and his first antinomy |
| title_sort |
kant, infinity and his first antinomy |
| publishDate |
2016 |
| url |
https://hdl.handle.net/2144/14092 |
| work_keys_str_mv |
AT lincolnjameswilliam kantinfinityandhisfirstantinomy |
| _version_ |
1718810991976775680 |