{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T12:31:44Z","timestamp":1765369904410,"version":"3.40.3"},"publisher-location":"Cham","reference-count":35,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030860615"},{"type":"electronic","value":"9783030860622"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-86062-2_13","type":"book-chapter","created":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T02:17:10Z","timestamp":1632190630000},"page":"149-165","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Schopenhauer\u2019s Partition Diagrams and Logical Geometry"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3661-4752","authenticated-orcid":false,"given":"Jens","family":"Lemanski","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0176-1958","authenticated-orcid":false,"given":"Lorenz","family":"Demey","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,21]]},"reference":[{"key":"13_CR1","doi-asserted-by":"crossref","unstructured":"Arnauld, A., Nicole, P.: Logic or the Art of Thinking. Cambridge University Press, Cambridge (1996)","DOI":"10.1017\/CBO9781139166768"},{"key":"13_CR2","unstructured":"Blanch\u00e9, R.: Structures Intellectuelles. Vrin, Paris (1966)"},{"key":"13_CR3","doi-asserted-by":"crossref","unstructured":"Boche\u0144ski, I.: A Pr\u00e9cis of Mathematical Logic. Reidel, Dordrecht (1959)","DOI":"10.1007\/978-94-017-0592-9"},{"key":"13_CR4","doi-asserted-by":"publisher","first-page":"1323","DOI":"10.1093\/logcom\/exy015","volume":"28","author":"L Demey","year":"2018","unstructured":"Demey, L.: Computing the maximal Boolean complexity of families of Aristotelian diagrams. J. Logic Comput. 28, 1323\u20131339 (2018)","journal-title":"J. Logic Comput."},{"key":"13_CR5","first-page":"453","volume":"248","author":"L Demey","year":"2019","unstructured":"Demey, L.: Metalogic, metalanguage and logical geometry. Logique et Analyse 248, 453\u2013478 (2019)","journal-title":"Logique et Analyse"},{"key":"13_CR6","series-title":"Studies in Universal Logic","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1007\/978-3-030-33090-3_12","volume-title":"Language, Logic, and Mathematics in Schopenhauer","author":"L Demey","year":"2020","unstructured":"Demey, L.: From Euler diagrams in Schopenhauer to Aristotelian diagrams in logical geometry. In: Lemanski, J. (ed.) Language, Logic, and Mathematics in Schopenhauer. SUL, pp. 181\u2013205. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-33090-3_12"},{"key":"13_CR7","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1007\/978-3-319-42333-3_6","volume-title":"Diagrammatic Representation and Inference","author":"L Demey","year":"2016","unstructured":"Demey, L., Smessaert, H.: The interaction between logic and geometry in Aristotelian diagrams. In: Jamnik, M., Uesaka, Y., Elzer Schwartz, S. (eds.) Diagrams 2016. LNCS (LNAI), vol. 9781, pp. 67\u201382. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-42333-3_6"},{"key":"13_CR8","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/s11787-015-0136-6","volume":"10","author":"L Demey","year":"2016","unstructured":"Demey, L., Smessaert, H.: Metalogical decorations of logical diagrams. Logica Univ. 10, 233\u2013292 (2016)","journal-title":"Logica Univ."},{"key":"13_CR9","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"640","DOI":"10.1007\/978-3-319-91376-6_57","volume-title":"Diagrammatic Representation and Inference","author":"L Demey","year":"2018","unstructured":"Demey, L., Smessaert, H.: Aristotelian and duality relations beyond the square of opposition. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds.) Diagrams 2018. LNCS (LNAI), vol. 10871, pp. 640\u2013656. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-91376-6_57"},{"key":"13_CR10","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/s10992-017-9430-5","volume":"47","author":"L Demey","year":"2018","unstructured":"Demey, L., Smessaert, H.: Combinatorial bitstring semantics for arbitrary logical fragments. J. Philos. Logic 47, 325\u2013363 (2018)","journal-title":"J. Philos. Logic"},{"key":"13_CR11","unstructured":"Dobrza\u0144ski, M.: Begriff und Methode bei Arthur Schopenhauer. K\u00f6nigshausen & Neumann, W\u00fcrzburg (2017)"},{"key":"13_CR12","series-title":"Studies in Universal Logic","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1007\/978-3-030-33090-3_3","volume-title":"Language, Logic, and Mathematics in Schopenhauer","author":"M Dobrza\u0144ski","year":"2020","unstructured":"Dobrza\u0144ski, M.: Problems in reconstructing Schopenhauer\u2019s theory of meaning: with reference to his influence on Wittgenstein. In: Lemanski, J. (ed.) Language, Logic, and Mathematics in Schopenhauer. SUL, pp. 25\u201345. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-33090-3_3"},{"key":"13_CR13","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1007\/978-3-030-54249-8_22","volume-title":"Diagrammatic Representation and Inference","author":"M Dobrza\u0144ski","year":"2020","unstructured":"Dobrza\u0144ski, M., Lemanski, J.: Schopenhauer diagrams for conceptual analysis. In: Pietarinen, A.-V., Chapman, P., Bosveld-de Smet, L., Giardino, V., Corter, J., Linker, S. (eds.) Diagrams 2020. LNCS (LNAI), vol. 12169, pp. 281\u2013288. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-54249-8_22"},{"key":"13_CR14","series-title":"Studies in Universal Logic","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1007\/978-3-030-33090-3_6","volume-title":"Language, Logic, and Mathematics in Schopenhauer","author":"S D\u00fcmig","year":"2020","unstructured":"D\u00fcmig, S.: The world as will and I-language: Schopenhauer\u2019s philosophy as precursor of cognitive sciences. In: Lemanski, J. (ed.) Language, Logic, and Mathematics in Schopenhauer. SUL, pp. 85\u201394. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-33090-3_6"},{"key":"13_CR15","unstructured":"Euler, L.: Lettres \u00e0 une Princesse d\u2019Allemagne. Acad\u00e9mie Imp\u00e9riale (1768)"},{"key":"13_CR16","first-page":"189","volume":"7","author":"JD Gergonne","year":"1817","unstructured":"Gergonne, J.D.: Essai de dialectique rationelle. Annales de Math\u00e9matiques Appliqu\u00e9es 7, 189\u2013228 (1817)","journal-title":"Annales de Math\u00e9matiques Appliqu\u00e9es"},{"key":"13_CR17","doi-asserted-by":"publisher","unstructured":"Givant, S., Halmos, P.: Introduction to Boolean Algebras. Springer, New York (2009) https:\/\/doi.org\/10.1007\/978-0-387-68436-9","DOI":"10.1007\/978-0-387-68436-9"},{"key":"13_CR18","series-title":"Studies in Universal Logic","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/978-3-030-33090-3_11","volume-title":"Language, Logic, and Mathematics in Schopenhauer","author":"A-S Heinemann","year":"2020","unstructured":"Heinemann, A.-S.: Schopenhauer and the equational form of predication. In: Lemanski, J. (ed.) Language, Logic, and Mathematics in Schopenhauer. SUL, pp. 165\u2013179. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-33090-3_11"},{"key":"13_CR19","doi-asserted-by":"publisher","first-page":"32","DOI":"10.5840\/newscholas19502413","volume":"24","author":"P Jacoby","year":"1950","unstructured":"Jacoby, P.: A triangle of opposites for types of propositions in Aristotelian logic. New Scholasticism 24, 32\u201356 (1950)","journal-title":"New Scholasticism"},{"key":"13_CR20","unstructured":"Kant, I.: Gesammelte Schriften (Akademie-Ausgabe). Ed. by Preu\u00dfi-sche\/G\u00f6ttinger\/Berlin-Brandenburgischen Akademie der Wissenschaften. de Gruyter, Reimer (1900ff)"},{"key":"13_CR21","unstructured":"Lemanski, J.: World and Logic. College Publications, London (2021)"},{"key":"13_CR22","doi-asserted-by":"publisher","first-page":"104","DOI":"10.2478\/sh-2020-0030","volume":"9","author":"J Lemanski","year":"2020","unstructured":"Lemanski, J., Dobrza\u0144ski, M.: Reism, concretism and Schopenhauer diagrams. Studia Humana 9, 104\u2013119 (2020)","journal-title":"Studia Humana"},{"key":"13_CR23","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"721","DOI":"10.1007\/978-3-319-91376-6_67","volume-title":"Diagrammatic Representation and Inference","author":"J Lemanski","year":"2018","unstructured":"Lemanski, J., Moktefi, A.: Making sense of Schopenhauer\u2019s diagram of good and evil. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds.) Diagrams 2018. LNCS (LNAI), vol. 10871, pp. 721\u2013724. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-91376-6_67"},{"key":"13_CR24","unstructured":"Matsuda, K.: Spinoza\u2019s redundancy and Schopenhauer\u2019s concision. An attempt to compare their metaphysical systems using diagrams. Schopenhauer-Jahrbuch 97, 117\u2013131 (2016)"},{"key":"13_CR25","first-page":"317","volume":"20","author":"A Menne","year":"1989","unstructured":"Menne, A.: Die Kantische Urteilstafel im Lichte der Logikgeschichte und der modernen Logik. J. Gen. Philos. Sci. 20, 317\u2013324 (1989)","journal-title":"J. Gen. Philos. Sci."},{"key":"13_CR26","series-title":"Studies in Universal Logic","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/978-3-030-33090-3_8","volume-title":"Language, Logic, and Mathematics in Schopenhauer","author":"A Moktefi","year":"2020","unstructured":"Moktefi, A.: Schopenhauer\u2019s Eulerian diagrams. In: Lemanski, J. (ed.) Language, Logic, and Mathematics in Schopenhauer. SUL, pp. 111\u2013127. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-33090-3_8"},{"key":"13_CR27","unstructured":"Moretti, A.: The Geometry of Logical Opposition. Ph.D. thesis, Neuch\u00e2tel (2009)"},{"key":"13_CR28","unstructured":"Ockham, W.: Summa Logicae (Op. Phil. I). Fransciscan Institute, St. Bonaventure, NY (1974)"},{"issue":"2","key":"13_CR29","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/s11787-008-0038-y","volume":"2","author":"R Pellissier","year":"2008","unstructured":"Pellissier, R.: Setting $$n$$-opposition. Logica Univ. 2(2), 235\u2013263 (2008)","journal-title":"Logica Univ."},{"key":"13_CR30","unstructured":"Prior, A.: Formal Logic. Oxford University Press, Oxford (1955)"},{"key":"13_CR31","unstructured":"Schopenhauer, A.: Philosophische Vorlesungen (S\u00e4mtliche Werke IX. Ed. by P. Deussen and F. Mockrauer). Piper & Co., Munich (1913)"},{"key":"13_CR32","unstructured":"Sesmat, A.: Logique II. Les Raisonnements. La syllogistique. Hermann, Paris (1951)"},{"key":"13_CR33","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1007\/s10849-014-9207-y","volume":"23","author":"H Smessaert","year":"2014","unstructured":"Smessaert, H., Demey, L.: Logical geometries and information in the square of opposition. J. Logic Lang. Inf. 23, 527\u2013565 (2014)","journal-title":"J. Logic Lang. Inf."},{"key":"13_CR34","series-title":"Studies in Universal Logic","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1007\/978-3-319-45062-9_12","volume-title":"The Square of Opposition: A Cornerstone of Thought","author":"H Smessaert","year":"2017","unstructured":"Smessaert, H., Demey, L.: The unreasonable effectiveness of bitstrings in logical geometry. In: B\u00e9ziau, J.-Y., Basti, G. (eds.) The Square of Opposition: A Cornerstone of Thought. SUL, pp. 197\u2013214. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-45062-9_12"},{"key":"13_CR35","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/978-3-030-54249-8_33","volume-title":"Diagrammatic Representation and Inference","author":"H Smessaert","year":"2020","unstructured":"Smessaert, H., Shimojima, A., Demey, L.: Free rides in logical space diagrams versus Aristotelian diagrams. In: Pietarinen, A.-V., Chapman, P., Bosveld-de Smet, L., Giardino, V., Corter, J., Linker, S. (eds.) Diagrams 2020. LNCS (LNAI), vol. 12169, pp. 419\u2013435. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-54249-8_33"}],"container-title":["Lecture Notes in Computer Science","Diagrammatic Representation and Inference"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-86062-2_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,4]],"date-time":"2021-12-04T00:03:57Z","timestamp":1638576237000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-86062-2_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030860615","9783030860622"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-86062-2_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"21 September 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"Diagrams","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Theory and Application of Diagrams","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 September 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30 September 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"diagrams2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.diagrams-conference.org\/2021\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}