Mathematical Thinking. An Involution for Architects
The two most predominant characteristics of mathematical thinking are abstraction and diachronic validity. The currently dominant division between pure and applied mathematics eradicates both— how abstraction always guides method, and how the universality that pertains to mathematics constitutes tra...
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| मुख्य लेखक: | |
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| स्वरूप: | Online |
| भाषा: | अंग्रेज़ी |
| प्रकाशित: |
TU Wien Academic Press
2025
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| विषय: | |
| ऑनलाइन पहुंच: | ONIX_20251107T141951_9783854480754_3 |
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कोई टैग नहीं, इस रिकॉर्ड को टैग करने वाले पहले व्यक्ति बनें!
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| _version_ | 1869521297320443904 |
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| author | Zafiris, Elias |
| author_browse | Zafiris, Elias |
| author_facet | Zafiris, Elias |
| author_sort | Zafiris, Elias |
| collection | Directory of Open Access Books |
| description | The two most predominant characteristics of mathematical thinking are abstraction and diachronic validity. The currently dominant division between pure and applied mathematics eradicates both— how abstraction always guides method, and how the universality that pertains to mathematics constitutes transhistorical and transcultural validity. By the method guided by abstraction, this book understands a process of percolation which allows the filtering out of all irrelevant details pertaining to a particular problem, so that the invariants of this problem can be revealed, exposed, communicated, and translated to help coping with a similar problem in another situation. It is through the finding of such invariances that the diachronic validity of mathematical thinking can be enunciated beyond the writing of a linearly progressing ‘history of mathematics’, and also beyond the analytical fixation with axiomatics and foundation in a-historical manner. The proposed view on mathematical thinking, and the creativity and inventiveness inherent to it, can connect in a surprising manner current physics with computation and the rich legacy of thinking the cosmos architectonically, in philosophy and in the arts. This book guides in an introductory manner through some of the many implications that come with this proposed “involution”. |
| format | Online |
| id | doab-20.500.12854ir-168834 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | TU Wien Academic Press |
| publisherStr | TU Wien Academic Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1688342025-11-08T05:19:38Z Mathematical Thinking. An Involution for Architects Zafiris, Elias Architecture Mathematics Philosophy History Architectural theory Architectronics Mathematical thinking thema EDItEUR::A The Arts::AM Architecture::AMA Theory of architecture thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics The two most predominant characteristics of mathematical thinking are abstraction and diachronic validity. The currently dominant division between pure and applied mathematics eradicates both— how abstraction always guides method, and how the universality that pertains to mathematics constitutes transhistorical and transcultural validity. By the method guided by abstraction, this book understands a process of percolation which allows the filtering out of all irrelevant details pertaining to a particular problem, so that the invariants of this problem can be revealed, exposed, communicated, and translated to help coping with a similar problem in another situation. It is through the finding of such invariances that the diachronic validity of mathematical thinking can be enunciated beyond the writing of a linearly progressing ‘history of mathematics’, and also beyond the analytical fixation with axiomatics and foundation in a-historical manner. The proposed view on mathematical thinking, and the creativity and inventiveness inherent to it, can connect in a surprising manner current physics with computation and the rich legacy of thinking the cosmos architectonically, in philosophy and in the arts. This book guides in an introductory manner through some of the many implications that come with this proposed “involution”. 2025-11-08T05:19:37Z 2025-11-08T05:19:37Z 2025-11-07T13:22:20Z 2025 book ONIX_20251107T141951_9783854480754_3 2960-5342 https://library.oapen.org/handle/20.500.12657/108027 9783854480754 https://directory.doabooks.org/handle/20.500.12854/168834 eng Meridian Architectonics open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/108027/1/9783854480754.pdf TU Wien Academic Press 10.34727/2025/isbn.978-3-85448-075-4 10.34727/2025/isbn.978-3-85448-075-4 d5d39cb5-47fb-4fe7-a7da-f356ab83484d 9783854480754 388 Vienna open access |
| spellingShingle | Architecture Mathematics Philosophy History Architectural theory Architectronics Mathematical thinking thema EDItEUR::A The Arts::AM Architecture::AMA Theory of architecture thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Zafiris, Elias Mathematical Thinking. An Involution for Architects |
| title | Mathematical Thinking. An Involution for Architects |
| title_full | Mathematical Thinking. An Involution for Architects |
| title_fullStr | Mathematical Thinking. An Involution for Architects |
| title_full_unstemmed | Mathematical Thinking. An Involution for Architects |
| title_short | Mathematical Thinking. An Involution for Architects |
| title_sort | mathematical thinking an involution for architects |
| topic | Architecture Mathematics Philosophy History Architectural theory Architectronics Mathematical thinking thema EDItEUR::A The Arts::AM Architecture::AMA Theory of architecture thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| topic_facet | Architecture Mathematics Philosophy History Architectural theory Architectronics Mathematical thinking thema EDItEUR::A The Arts::AM Architecture::AMA Theory of architecture thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| url | ONIX_20251107T141951_9783854480754_3 |
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