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<b>From:</b> Humanities & Languages School Office <hal@unsw.edu.au><br>
<b>Sent:</b> Monday, 28 July 2025 4:08 PM<br>
<b>Subject:</b> HAL Event Invitation: Leibniz’s Law, Multisets, and the Puzzle of Abstract Duplicates - 5 Aug</div>
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<p style="margin: 0cm; font-family: Calibri, sans-serif; font-size: 11pt;"><span style="font-family: Clancy; font-size: 22.5pt;"><b>Leibniz’s Law, Multisets, and the Puzzle of Abstract Duplicates</b></span></p>
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<p style="margin: 0cm; font-family: Aptos, sans-serif; font-size: 10pt;"><span style="font-family: Roboto; font-size: 12pt;">Leibniz’s Principle of the Identity of Indiscernibles (PII) maintains that no two distinct entities share all properties. Multisets,
however, appear to refute this principle: the multiset [2,2] apparently contains two numerically distinct yet qualitatively identical occurrences of the number</span><span style="font-family: "Times New Roman", serif; font-size: 12pt;"> </span><span style="font-family: Roboto; font-size: 12pt;">2.
After clarifying the formal theory of multisets, this paper evaluates and rejects three standard responses: (1) re‑classifying duplicates as concrete tokens, (2) invoking primitive haecceities, and (3) reducing multiplicity to mere syntactic coding. Each approach
either distorts mathematical practice or trivializes PII. An alternative, <i>idealist‑structural</i> account is proposed: multiplicity arises from the external act of counting, so duplicate entries differ only in their relational positions while the counted
object remains intrinsically identical. By relocating plurality in acts of enumeration rather than in the enumerated items, the proposal preserves PII without resorting to ad hoc metaphysics and clarifies the conceptual foundations of abstract duplication.</span></p>
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<p style="margin: 0cm; font-family: Aptos, sans-serif; font-size: 10pt;"><span style="font-family: Roboto; font-size: 12pt;"><b>Plato</b></span><span style="font-family: "Times New Roman", serif; font-size: 12pt;"><b> </b></span><span style="font-family: Roboto; font-size: 12pt;"><b>Tse</b></span><span style="font-family: Roboto; font-size: 11pt;"><br>
Plato</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">Tse is Associate Professor in Philosophy at National</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">Chengchi</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">University,
Taipei. He received his Dr.</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">phil. from Ludwig‑Maximilians‑Universität</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">München
(2018), following an MPhil at The Chinese University of Hong</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">Kong and a double‑major BA in Philosophy and German at the
University of Hong</span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"> </span><span style="font-family: Roboto; font-size: 11pt;">Kong. His work spans classical German philosophy—especially Fichte, Kant, and their Leibnizian heritage—and
contemporary metaphysics of modality and abstract objects. Funded by Taiwan’s National Science and Technology Council, his recent projects address (i) Leibniz’s Law and the ontology of abstract duplicates (2024–26), (ii) Fichte’s transcendental philosophy
(2023–24), and (iii) the constitutive role of mind in idealism (2021–24). His articles have appeared in
<i>Epoché</i>, <i>Philosophy</i></span><span style="font-family: "Times New Roman", serif; font-size: 11pt;"><i> </i></span><span style="font-family: Roboto; font-size: 11pt;"><i>Compass</i>, the
<i>Journal of Transcendental Philosophy</i>, <i>Philosophia</i>, and <i>Inquiry</i>.</span></p>
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<p style="margin: 0cm; font-family: Calibri, sans-serif; font-size: 11pt;"><span style="font-size: 1pt; color: white;"><u><a style="color: white; margin-top: 0px; margin-bottom: 0px;" data-auth="NotApplicable" class="OWAAutoLink" id="OWA449fd6bf-8796-4d89-df1f-b0d92d8d0c07" href="https://url.au.m.mimecastprotect.com/s/3G4hCYW8NocAEMqDmtZuWixunfN?domain=weibo.com"><img style="width: 0.2083in; height: 0.2083in; margin-top: 0px; margin-bottom: 0px;" size="4801" height="19" width="19" id="x_x_x_x_x_x_Picture_x0020_3" alt="UNSW Weibo" data-outlook-trace="F:1|T:1" src="cid:image012.png@01DBFFD9.E824E600"></a></u></span></p>
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<p style="margin: 0cm; font-family: Calibri, sans-serif; font-size: 11pt;"><span style="font-size: 1pt; color: white;"><u><a style="color: white; margin-top: 0px; margin-bottom: 0px;" data-auth="NotApplicable" class="OWAAutoLink" id="OWA65bc11aa-2451-ee01-e1e2-8e720517c4e1" href="https://url.au.m.mimecastprotect.com/s/1GBrC1WLPxcq23o6xfOF4iVsCaN?domain=tiktok.com"><img style="width: 0.1875in; height: 0.1875in; margin-top: 0px; margin-bottom: 0px;" size="3344" height="18" width="18" id="x_x_x_x_x_x_Picture_x0020_1" alt="UNSW TikTok" data-outlook-trace="F:1|T:1" src="cid:image014.png@01DBFFD9.E824E600"></a></u></span></p>
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