[{"abstract":[{"lang":"eng","text":"\tSince the Tractarian ontology was only a formal presentation of our language and thinking (of everything intelligible), not metaphysics, its claims that the propositions are constructed (4.5), and that “a proposition constructs a world” (4.023) indicate the legitimacy of its reconstruction we are going to make in the present chapter. It discusses Wittgenstein’s constructivist ontology of ways. Wittgenstein’s ways are different both from modi and from tropes. In short, his ontology of ways explores the manners in which the elements of one basic ontological system can arranged to produce ontological systems of higher order. The advantage of this ontology is that it suggests an elegant solution to the problem of constructing ontological systems of new order, such as states of affairs, thinking, language, logic and works of art. "}],"publication":"Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein's Philosophy","type":"book_chapter","keyword":["Construction","Emergence","Modality","Tractatus","Ways","Wittgenstein"],"date_created":"2025-02-23T14:53:39Z","publication_status":"published","date_updated":"2025-02-23T15:39:43Z","author":[{"id":"357","last_name":"Milkov","first_name":"Nikolay","full_name":"Milkov, Nikolay"}],"publication_identifier":{"isbn":["978-3-030-27568-6","978-3-030-27569-3"]},"corporate_editor":["Shyam Wuppuluri"],"year":"2020","title":"Wittgenstein's Ways","doi":"10.1007/978-3-030-27569-3_2","language":[{"iso":"eng"}],"series_title":"The Frontiers Collection","citation":{"bibtex":"@inbook{Milkov_2020, place={Berlin}, edition={1}, series={The Frontiers Collection}, title={Wittgenstein’s Ways}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-27569-3_2\">10.1007/978-3-030-27569-3_2</a>}, booktitle={Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy}, publisher={Springer}, author={Milkov, Nikolay}, editor={Da Costa, Newton  and Shyam Wuppuluri}, year={2020}, pages={7–19}, collection={The Frontiers Collection} }","ama":"Milkov N. Wittgenstein’s Ways. In: Da Costa N, Shyam Wuppuluri, eds. <i>Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy</i>. 1st ed. The Frontiers Collection. Springer; 2020:7-19. doi:<a href=\"https://doi.org/10.1007/978-3-030-27569-3_2\">10.1007/978-3-030-27569-3_2</a>","mla":"Milkov, Nikolay. “Wittgenstein’s Ways.” <i>Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy</i>, edited by Newton  Da Costa and Shyam Wuppuluri, 1st ed., Springer, 2020, pp. 7–19, doi:<a href=\"https://doi.org/10.1007/978-3-030-27569-3_2\">10.1007/978-3-030-27569-3_2</a>.","chicago":"Milkov, Nikolay. “Wittgenstein’s Ways.” In <i>Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy</i>, edited by Newton  Da Costa and Shyam Wuppuluri, 1st ed., 7–19. The Frontiers Collection. Berlin: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-030-27569-3_2\">https://doi.org/10.1007/978-3-030-27569-3_2</a>.","short":"N. Milkov, in: N. Da Costa, Shyam Wuppuluri (Eds.), Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy, 1st ed., Springer, Berlin, 2020, pp. 7–19.","ieee":"N. Milkov, “Wittgenstein’s Ways,” in <i>Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy</i>, 1st ed., N. Da Costa and Shyam Wuppuluri, Eds. Berlin: Springer, 2020, pp. 7–19.","apa":"Milkov, N. (2020). Wittgenstein’s Ways. In N. Da Costa &#38; Shyam Wuppuluri (Eds.), <i>Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy</i> (1st ed., pp. 7–19). Springer. <a href=\"https://doi.org/10.1007/978-3-030-27569-3_2\">https://doi.org/10.1007/978-3-030-27569-3_2</a>"},"place":"Berlin","status":"public","editor":[{"full_name":"Da Costa, Newton ","last_name":"Da Costa","first_name":"Newton "}],"user_id":"357","_id":"58767","edition":"1","publisher":"Springer","page":"7-19"},{"publication":" WITTGENSTEINIAN (adj.) ","department":[{"_id":"14"}],"type":"book_chapter","date_created":"2025-02-23T15:06:05Z","publication_status":"published","date_updated":"2025-02-23T15:38:55Z","publication_identifier":{"isbn":["978-3-030-27568-6","978-3-030-27569-3"]},"author":[{"full_name":"Milkov, Nikolay","last_name":"Milkov","first_name":"Nikolay","id":"357"}],"corporate_editor":["Shyam Wuppuluri"],"year":"2020","title":"Essay in Formal Biology","doi":"10.1007/978-3-030-27569-3_25","language":[{"iso":"eng"}],"series_title":"The Frontiers Collection","citation":{"ieee":"N. Milkov, “Essay in Formal Biology,” in <i> WITTGENSTEINIAN (adj.) </i>, 1st ed., N. Da Costa and Shyam Wuppuluri, Eds. Cham: Springer, 2020, pp. 473–486.","apa":"Milkov, N. (2020). Essay in Formal Biology. In N. Da Costa &#38; Shyam Wuppuluri (Eds.), <i> WITTGENSTEINIAN (adj.) </i> (1st ed., pp. 473–486). 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Springer; 2020:473-486. doi:<a href=\"https://doi.org/10.1007/978-3-030-27569-3_25\">10.1007/978-3-030-27569-3_25</a>","short":"N. Milkov, in: N. Da Costa, Shyam Wuppuluri (Eds.),  WITTGENSTEINIAN (Adj.) , 1st ed., Springer, Cham, 2020, pp. 473–486.","chicago":"Milkov, Nikolay. “Essay in Formal Biology.” In <i> WITTGENSTEINIAN (Adj.) </i>, edited by Newton Da Costa and Shyam Wuppuluri, 1st ed., 473–86. The Frontiers Collection. Cham: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-030-27569-3_25\">https://doi.org/10.1007/978-3-030-27569-3_25</a>."},"place":"Cham","status":"public","editor":[{"last_name":"Da Costa","first_name":"Newton","full_name":"Da Costa, Newton"}],"user_id":"357","publisher":"Springer","_id":"58771","edition":"1","page":"473-486"},{"publication_identifier":{"eisbn":["978-3-030-27569-3"],"isbn":["978-3-030-27568-6"]},"author":[{"id":"357","full_name":"Milkov, Nikolay","first_name":"Nikolay","last_name":"Milkov"}],"corporate_editor":["Shyam Wuppuluri"],"title":"Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein","year":"2020","date_updated":"2025-02-23T15:48:05Z","publication_status":"published","series_title":"The Frontiers Collection","language":[{"iso":"eng"}],"doi":"10.1007/978-3-030-27569-3_27","publication":"WITTGENSTEINIAN (adj.)","date_created":"2025-02-23T15:47:57Z","type":"book_chapter","status":"public","edition":"1","_id":"58776","publisher":"Springer","page":"505-518","editor":[{"last_name":"Da Costa","first_name":"Newton","full_name":"Da Costa, Newton"}],"user_id":"357","citation":{"apa":"Milkov, N. (2020). Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein. In N. Da Costa &#38; Shyam Wuppuluri (Eds.), <i>WITTGENSTEINIAN (adj.)</i> (1st ed., pp. 505–518). Springer. <a href=\"https://doi.org/10.1007/978-3-030-27569-3_27\">https://doi.org/10.1007/978-3-030-27569-3_27</a>","ieee":"N. Milkov, “Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein,” in <i>WITTGENSTEINIAN (adj.)</i>, 1st ed., N. Da Costa and Shyam Wuppuluri, Eds. Cham: Springer, 2020, pp. 505–518.","short":"N. Milkov, in: N. Da Costa, Shyam Wuppuluri (Eds.), WITTGENSTEINIAN (Adj.), 1st ed., Springer, Cham, 2020, pp. 505–518.","chicago":"Milkov, Nikolay. “Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein.” In <i>WITTGENSTEINIAN (Adj.)</i>, edited by Newton Da Costa and Shyam Wuppuluri, 1st ed., 505–18. The Frontiers Collection. Cham: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-030-27569-3_27\">https://doi.org/10.1007/978-3-030-27569-3_27</a>.","mla":"Milkov, Nikolay. “Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein.” <i>WITTGENSTEINIAN (Adj.)</i>, edited by Newton Da Costa and Shyam Wuppuluri, 1st ed., Springer, 2020, pp. 505–18, doi:<a href=\"https://doi.org/10.1007/978-3-030-27569-3_27\">10.1007/978-3-030-27569-3_27</a>.","ama":"Milkov N. Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein. In: Da Costa N, Shyam Wuppuluri, eds. <i>WITTGENSTEINIAN (Adj.)</i>. 1st ed. The Frontiers Collection. Springer; 2020:505-518. doi:<a href=\"https://doi.org/10.1007/978-3-030-27569-3_27\">10.1007/978-3-030-27569-3_27</a>","bibtex":"@inbook{Milkov_2020, place={Cham}, edition={1}, series={The Frontiers Collection}, title={Aesthetic Gestures: Elements of a Philosophy of Art in Frege and Wittgenstein}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-27569-3_27\">10.1007/978-3-030-27569-3_27</a>}, booktitle={WITTGENSTEINIAN (adj.)}, publisher={Springer}, author={Milkov, Nikolay}, editor={Da Costa, Newton and Shyam Wuppuluri}, year={2020}, pages={505–518}, collection={The Frontiers Collection} }"},"place":"Cham"},{"user_id":"38254","language":[{"iso":"eng"}],"_id":"24026","date_updated":"2025-02-25T06:02:48Z","author":[{"last_name":"Kruse","first_name":"Stephan","full_name":"Kruse, Stephan","id":"38254"},{"full_name":"Kress, Christian","first_name":"Christian","last_name":"Kress","id":"13256"},{"id":"37144","full_name":"Scheytt, Christoph","last_name":"Scheytt","first_name":"Christoph","orcid":"https://orcid.org/0000-0002-5950-6618"},{"last_name":"Kurz","first_name":"Heiko G.","full_name":"Kurz, Heiko G."},{"last_name":"Schneider","first_name":"Thomas","full_name":"Schneider, Thomas"}],"title":"Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path","year":"2020","status":"public","department":[{"_id":"58"},{"_id":"230"}],"type":"conference","date_created":"2021-09-09T11:50:18Z","place":"Cottbus, Germany","related_material":{"link":[{"url":"https://ieeexplore.ieee.org/document/9080232","relation":"research_paper"}]},"abstract":[{"text":"In this paper we present a new system concept for an optoelectronic wireless phased array system. Like in a conventional phased array system with optical carrier distribution, optical fibers are used to distribute the carrier from the basestation to the wireless frontends. However in contrast to prior concepts, we propose to use an optical IQ return path from the wireless frontends back to the basestation. Furthermore, we reuse the optical carrier signal for the IQ return path which allows to avoid local oscillator lasers in the wireless frontends and reduces the hardware effort significantly. The system concept allows to integrate all components of an optoelectronic wireless frontend in a single chip using silicon photonics technology.","lang":"eng"}],"citation":{"ieee":"S. Kruse, C. Kress, C. Scheytt, H. G. Kurz, and T. Schneider, “Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path,” 2020.","apa":"Kruse, S., Kress, C., Scheytt, C., Kurz, H. G., &#38; Schneider, T. (2020). Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path. <i>GeMiC 2020 - German Microwave Conference</i>.","mla":"Kruse, Stephan, et al. “Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path.” <i>GeMiC 2020 - German Microwave Conference</i>, 2020.","bibtex":"@inproceedings{Kruse_Kress_Scheytt_Kurz_Schneider_2020, place={Cottbus, Germany}, title={Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path}, booktitle={GeMiC 2020 - German Microwave Conference}, author={Kruse, Stephan and Kress, Christian and Scheytt, Christoph and Kurz, Heiko G. and Schneider, Thomas}, year={2020} }","short":"S. Kruse, C. Kress, C. Scheytt, H.G. Kurz, T. Schneider, in: GeMiC 2020 - German Microwave Conference, Cottbus, Germany, 2020.","ama":"Kruse S, Kress C, Scheytt C, Kurz HG, Schneider T. Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path. In: <i>GeMiC 2020 - German Microwave Conference</i>. ; 2020.","chicago":"Kruse, Stephan, Christian Kress, Christoph Scheytt, Heiko G. Kurz, and Thomas Schneider. “Analysis and Simulation of a Wireless Phased Array System with Optical Carrier Distribution and an Optical IQ Return Path.” In <i>GeMiC 2020 - German Microwave Conference</i>. Cottbus, Germany, 2020."},"publication":"GeMiC 2020 - German Microwave Conference"},{"editor":[{"first_name":"Chrostopher","last_name":"Adair-Toteff","full_name":"Adair-Toteff, Chrostopher"}],"user_id":"357","_id":"58884","edition":"1","publisher":"Bloomsbury","status":"public","place":"London","quality_controlled":"1","citation":{"apa":"Milkov, N. (2020). Frege, Gottlob (1848–1925). In C. Adair-Toteff (Ed.), <i>Bloomsbury Encyclopedia of Philosophers</i> (1st ed.). Bloomsbury. <a href=\"https://doi.org/10.5040/9781350994997.0008\">https://doi.org/10.5040/9781350994997.0008</a>","mla":"Milkov, Nikolay. “Frege, Gottlob (1848–1925).” <i>Bloomsbury Encyclopedia of Philosophers</i>, edited by Chrostopher Adair-Toteff, 1st ed., Bloomsbury, 2020, doi:<a href=\"https://doi.org/10.5040/9781350994997.0008\">10.5040/9781350994997.0008</a>.","ieee":"N. Milkov, “Frege, Gottlob (1848–1925),” in <i>Bloomsbury Encyclopedia of Philosophers</i>, 1st ed., C. Adair-Toteff, Ed. London: Bloomsbury, 2020.","ama":"Milkov N. Frege, Gottlob (1848–1925). In: Adair-Toteff C, ed. <i>Bloomsbury Encyclopedia of Philosophers</i>. 1st ed. Bloomsbury; 2020. doi:<a href=\"https://doi.org/10.5040/9781350994997.0008\">10.5040/9781350994997.0008</a>","short":"N. Milkov, in: C. Adair-Toteff (Ed.), Bloomsbury Encyclopedia of Philosophers, 1st ed., Bloomsbury, London, 2020.","chicago":"Milkov, Nikolay. “Frege, Gottlob (1848–1925).” In <i>Bloomsbury Encyclopedia of Philosophers</i>, edited by Chrostopher Adair-Toteff, 1st ed. London: Bloomsbury, 2020. <a href=\"https://doi.org/10.5040/9781350994997.0008\">https://doi.org/10.5040/9781350994997.0008</a>.","bibtex":"@inbook{Milkov_2020, place={London}, edition={1}, title={Frege, Gottlob (1848–1925)}, DOI={<a href=\"https://doi.org/10.5040/9781350994997.0008\">10.5040/9781350994997.0008</a>}, booktitle={Bloomsbury Encyclopedia of Philosophers}, publisher={Bloomsbury}, author={Milkov, Nikolay}, editor={Adair-Toteff, Chrostopher}, year={2020} }"},"doi":"10.5040/9781350994997.0008","language":[{"iso":"eng"}],"date_updated":"2025-03-03T10:18:15Z","publication_status":"published","author":[{"id":"357","full_name":"Milkov, Nikolay","last_name":"Milkov","first_name":"Nikolay"}],"title":"Frege, Gottlob (1848–1925)","year":"2020","department":[{"_id":"14"}],"type":"encyclopedia_article","keyword":["Frege"],"date_created":"2025-03-03T10:18:02Z","publication":"Bloomsbury Encyclopedia of Philosophers"},{"publication":"Bloomsbury Encyclopedia of Philosophers","citation":{"short":"N. Milkov, in: C. Adair-Toteff (Ed.), Bloomsbury Encyclopedia of Philosophers, 1st ed., Bloomsbury, London, 2020.","ama":"Milkov N. Stumpf, Carl (1848–1936). In: Adair-Toteff C, ed. <i>Bloomsbury Encyclopedia of Philosophers</i>. 1st ed. Bloomsbury; 2020. doi:<a href=\"https://doi.org/10.5040/9781350994997.0009\">10.5040/9781350994997.0009</a>","chicago":"Milkov, Nikolay. “Stumpf, Carl (1848–1936).” In <i>Bloomsbury Encyclopedia of Philosophers</i>, edited by Christopher Adair-Toteff, 1st ed. London: Bloomsbury, 2020. <a href=\"https://doi.org/10.5040/9781350994997.0009\">https://doi.org/10.5040/9781350994997.0009</a>.","bibtex":"@inbook{Milkov_2020, place={London}, edition={1}, title={Stumpf, Carl (1848–1936)}, DOI={<a href=\"https://doi.org/10.5040/9781350994997.0009\">10.5040/9781350994997.0009</a>}, booktitle={Bloomsbury Encyclopedia of Philosophers}, publisher={Bloomsbury}, author={Milkov, Nikolay}, editor={Adair-Toteff, Christopher}, year={2020} }","mla":"Milkov, Nikolay. “Stumpf, Carl (1848–1936).” <i>Bloomsbury Encyclopedia of Philosophers</i>, edited by Christopher Adair-Toteff, 1st ed., Bloomsbury, 2020, doi:<a href=\"https://doi.org/10.5040/9781350994997.0009\">10.5040/9781350994997.0009</a>.","apa":"Milkov, N. (2020). Stumpf, Carl (1848–1936). In C. Adair-Toteff (Ed.), <i>Bloomsbury Encyclopedia of Philosophers</i> (1st ed.). Bloomsbury. <a href=\"https://doi.org/10.5040/9781350994997.0009\">https://doi.org/10.5040/9781350994997.0009</a>","ieee":"N. Milkov, “Stumpf, Carl (1848–1936),” in <i>Bloomsbury Encyclopedia of Philosophers</i>, 1st ed., C. Adair-Toteff, Ed. London: Bloomsbury, 2020."},"date_created":"2025-03-03T09:48:11Z","place":"London","type":"encyclopedia_article","department":[{"_id":"14"}],"oa":"1","title":"Stumpf, Carl (1848–1936)","status":"public","year":"2020","author":[{"id":"357","full_name":"Milkov, Nikolay","first_name":"Nikolay","last_name":"Milkov"}],"date_updated":"2025-03-03T09:48:26Z","main_file_link":[{"open_access":"1"}],"_id":"58881","edition":"1","publisher":"Bloomsbury","language":[{"iso":"eng"}],"user_id":"357","doi":"10.5040/9781350994997.0009","editor":[{"full_name":"Adair-Toteff, Christopher","first_name":"Christopher","last_name":"Adair-Toteff"}]},{"user_id":"58338","main_file_link":[{"url":"https://doi.org/10.1515/zfal-2020-2026"}],"page":"1-29","language":[{"iso":"ger"}],"_id":"33562","date_updated":"2025-03-04T08:58:16Z","status":"public","title":"Positionierungen in argumentativen Gesprächen und Briefen der Schule","year":"2020","author":[{"id":"58338","last_name":"Rezat","first_name":"Sara","full_name":"Rezat, Sara"},{"full_name":"Grundler, Elke","last_name":"Grundler","first_name":"Elke"},{"full_name":"Schmölzer-Eibinger, Sabine","first_name":"Sabine","last_name":"Schmölzer-Eibinger"}],"type":"journal_article","department":[{"_id":"463"}],"date_created":"2022-10-08T01:02:15Z","quality_controlled":"1","publication":"Zeitschrift für Angewandte Linguistik","citation":{"apa":"Rezat, S., Grundler, E., &#38; Schmölzer-Eibinger, S. (2020). Positionierungen in argumentativen Gesprächen und Briefen der Schule. <i>Zeitschrift für Angewandte Linguistik</i>, 1–29.","ieee":"S. Rezat, E. Grundler, and S. Schmölzer-Eibinger, “Positionierungen in argumentativen Gesprächen und Briefen der Schule,” <i>Zeitschrift für Angewandte Linguistik</i>, pp. 1–29, 2020.","chicago":"Rezat, Sara, Elke Grundler, and Sabine Schmölzer-Eibinger. “Positionierungen in argumentativen Gesprächen und Briefen der Schule.” <i>Zeitschrift für Angewandte Linguistik</i>, 2020, 1–29.","short":"S. Rezat, E. Grundler, S. Schmölzer-Eibinger, Zeitschrift für Angewandte Linguistik (2020) 1–29.","mla":"Rezat, Sara, et al. “Positionierungen in argumentativen Gesprächen und Briefen der Schule.” <i>Zeitschrift für Angewandte Linguistik</i>, 2020, pp. 1–29.","ama":"Rezat S, Grundler E, Schmölzer-Eibinger S. Positionierungen in argumentativen Gesprächen und Briefen der Schule. <i>Zeitschrift für Angewandte Linguistik</i>. 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As an application we give a lower bound for the corresponding counting problem by discriminant.\r\n"}],"publication":"Journal of Number Theory","department":[{"_id":"102"}],"type":"journal_article","keyword":["Algebra and Number Theory"],"date_created":"2022-12-22T10:50:03Z"},{"department":[{"_id":"43"}],"type":"journal_article","date_created":"2025-05-19T08:31:53Z","related_material":{"link":[{"url":"https://arxiv.org/abs/1904.02573","relation":"earlier_version"}]},"citation":{"ama":"Müller R, Klüners J. 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