| 書目名稱 | Mathematical Intuitionism and Intersubjectivity |
| 副標(biāo)題 | A Critical Expositio |
| 編輯 | Tomasz Placek |
| 視頻video | http://file.papertrans.cn/627/626186/626186.mp4 |
| 叢書名稱 | Synthese Library |
| 圖書封面 |  |
| 描述 | In 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being. Brouwer attacked the main currents of the philosophy of mathematics: the formalists and the Platonists. In tum, both these schools began viewing intuitionism as the most harmful party among all known philosophies of mathematics. That was the origin of the now-90-year-old debate over intuitionism. As both sides have appealed in their arguments to philosophical propositions, the discussions have attracted the attention of philosophers as well. One might ask here what role a philosopher can play in controversies over mathematical intuitionism. Can he reasonably enter into disputes among mathematicians? I believe that these disputes call for intervention by a philo- sopher. The three best-known arguments for intuitionism, those of Brouwer, Heyting and Dummett, are based on ontological and epistemological claims, or appeal to theses that properly belong to a theory of meaning. Those lines of argument should be investigated in order to find what their assumptions are, whether intuitionistic consequenc |
| 出版日期 | Book 1999 |
| 關(guān)鍵詞 | Edmund Husserl; bibliography; foundation; knowledge; language; mathematics; philosophy; subject |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-015-9315-1 |
| isbn_softcover | 978-90-481-5187-5 |
| isbn_ebook | 978-94-015-9315-1Series ISSN 0166-6991 Series E-ISSN 2542-8292 |
| issn_series | 0166-6991 |
| copyright | Springer Science+Business Media Dordrecht 1999 |