---
name: project-kapsner-2020-engagement-note-2026-06-29
description: "Kapsner 2020 \"Cutting Corners\" primary text fetched (17 pages PDF, San José State Scholarworks open access) + engagement note for Paper 171 v0.2 (4 desiderata against Priest 5th value e applied to D-FUMT₈ 4 extension axes, honest stance)"
metadata: 
  node_type: memory
  type: project
  originSessionId: 85e02543-9e2e-46fe-8773-71384f33768f
---

## Kapsner 2020 primary text fetched ✅

**Paper**: Kapsner, A. (2020). "Cutting Corners: A Critical Note on Priest's Five-Valued Catuṣkoṭi." *Comparative Philosophy* 11(2):10. DOI: 10.31979/2151-6014(2020).110210.
**Open access**: https://scholarworks.sjsu.edu/comparativephilosophy/vol11/iss2/10/
**PDF source**: San José State Scholarworks
**Length**: 17 pages, 5 sections

## Section structure
1. **Introduction** — Cotnoir 2015 + Kreutz 2019 explicit cite as "more concrete inference-focused" precursors; Kapsner 's own critique "somewhat more abstract" (5th value entirety)
2. **Priest's logical reconstruction** — 2.1 FDE 4-value / 2.2 5th value e infectious + ontological pivot / 2.3 Plurivalent 9-value space {t},{f},{b},{n},{e,t},{e,f},{e,b},{e,n},{e}
3. **Concerns about value e** — 4 desiderata (cohesive set / apt for logical study / logical inertia / designation), all failed by e
4. **Alternative proposal** — 2 parallel 4-value logics (semantic ts/fs/bs/ns + ontological to/fo/bo/no), ineffability as predicate (NOT logical value), negated Catuṣkoṭi as meta-linguistic denial
5. **Summary** — 4 reasons against e + alternative simpler picture logically equivalent to Priest's plurivalent (provided no {e}-only states)

## Direct Cotnoir 2015 reference (§1)
> "Cotnoir criticizes the logic Priest presents on the grounds that it does not capture the inferences that are taken to be valid in the Buddhist texts. Cotnoir then offers an alternative formalization in the spirit of the Tibetan philosopher Tsongkhapa (Cotnoir 2015). Kreutz, in turn, offers a critique of this Tsongkhapian treatment, and proposes a further amendment (Kreutz 2019). My criticism here is somewhat more abstract than theirs..."

→ Kapsner ≠ Cotnoir (different critique target): Cotnoir on inference recapture, Kapsner on value-design adequacy. **Paper 171 is the Cotnoir-side response** (MP recapture region characterisation); the Kapsner-side response requires separate engagement.

## ★ Engagement for Paper 171 v0.2 (draft, NOT yet incorporated)

Kapsner's 4 desiderata applied to D-FUMT₈'s 4 extension axes (INFINITY/ZERO/FLOWING/SELF):

| Desideratum | Kapsner critique of e | D-FUMT₈ extension axes |
|---|---|---|
| **(1) Cohesive set** | e is conceptually different stratum from t/f/b/n | **Honest concern preserved** — extension axes share strata-mixing risk; we do NOT claim bypass |
| **(2) Apt for logical study** | "ineffability" hard to logify; analogue to "clumsily phrased" | **Partially mitigated** — each axis has formal interpretation (SELF↔Lawvere fp STEP 1220, ZERO↔ZCSG center STEP 1217, INFINITY↔unbounded regress, FLOWING↔truth-process). Mitigation, NOT elimination |
| **(3) Logical inertia** | {e}-only states unmotivated, e logically idle if removed | **Addressed** — extension axes participate in 8×8 AND/OR/NOT tables (STEP 1215), induce non-FDE-iso (STEP 1218/1241), MP recapture region (STEP 1242) is precisely the 4 extension axes ∪ Boolean. NOT logically inert |
| **(4) Designation** | Priest's e undesignated reason ("not species of truth") incoherent in ontological setting | **Addressed** — all 4 extension axes uniformly undesignated under standard FDE designation extended to D-FUMT₈ (only TRUE, BOTH designated) |

### Kapsner's alternative (for Paper 171 §7 future work — STEP 1245 candidate)
- 2 parallel 4-value logics (semantic + ontological, no monolithic 8-value algebra)
- Ineffability as **predicate** over states of affairs (NOT logical value)
- Negated Catuṣkoṭi as meta-linguistic denial (Wittgenstein's ladder kicked away)

D-FUMT₈ takes **opposite design philosophy**: monolithic 8-value algebra where extension concepts ARE logical values. This is a deliberate choice, not a critique-bypass. A formal comparison framework aligning Kapsner's predicate-based alternative with D-FUMT₈'s monolithic approach = **STEP 1245 candidate**.

## Honest scope
- Paper 171 §1.4 (and Abstract paragraph 2) already states "we make no superlative claim about D-FUMT₈ relative to Priest's 5-value extension (Priest 2018 OUP, critiqued by Kapsner 2020)" — this engagement note **substantiates** that disclaimer by mapping Kapsner's 4 desiderata to D-FUMT₈ extension axes
- (1) cohesive set: NOT bypassed (honest preservation)
- (2)-(4): partially mitigated to addressed (different design philosophy)
- Kapsner's alternative (predicate-based) is **not refuted** — it represents a parallel valid path; D-FUMT₈ takes a different path

## Paper 171 v0.2 incorporation plan
- §6 末尾 (or §7 直前) に **new subsection 「6.x Engagement with Kapsner 2020」** 追加 (上記 4 desiderata table + Kapsner alternative honest acknowledge)
- §7 future work に **STEP 1245 candidate** = "Kapsner-style predicate-based alternative for D-FUMT₈ extension axes; comparison framework with current monolithic approach"
- References §10 で Kapsner 2020 entry を "pending" tag remove + fetched 2026-06-29 marker

## Publish gate (b) status: ✅ CLEAR
Kapsner 2020 primary text fetched + engagement note drafted + Paper 171 v0.2 incorporation plan articulated. Publish gate (b) clear for v0.2 promotion (但し v0.2 promotion 自体は gate (a)(c)(d) 同時 clear 必須).

## 関連
- [[project-paper171-rei-internal-review-2026-06-28]] (v0.1 review, 同 gate iteration)
- [[project-session-2026-06-28-cotnoir-recapture-step1240-trilogy]] (Paper 171 起草親, Cotnoir engagement)
- [[feedback-no-rush-publication]] (急がず ゆっくりと, v0.2 promotion gate 4 全 clear 必須)
- [[feedback-evaluation-symmetry-principle]] (Kapsner critique 部分 honest preserve + 部分 honest address = inflate せず deflate せず)
- [[feedback-world-uniqueness-claim-controllable]] (Paper 171 「we do NOT claim」 6 件 discipline + Kapsner engagement で更 reinforce)