“first-principles”的搜索结果

当用户需要验证一个信念/理论/策略/商业模式的正确性、在做决策前想检验逻辑、或在问"怎么判断这个观点对不对""这个方案有没有逻辑漏洞""怎么系统地检验一个想法"时激活。 核心信号：用户需要对某个命题做系统性的逻辑验证，而非直觉判断。 不适用于：纯情感判断、不需要逻辑验证的常识性问题、时间紧迫的直觉决策。

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当用户是创业者/管理者/领导者，遇到企业增长瓶颈、转型困难、或者在问"为什么公司越大越创新不了""为什么我们总是错过新机会""公司的问题到底出在哪"时激活。 核心信号：用户在描述组织发展困境，且问题根源指向领导者自身的认知局限而非外部环境。 不适用于：非管理者的个人发展问题、纯粹的市场/竞争分析、具体业务执行问题。

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当用户在反思自己的认知局限、质疑群体共识、或在问"如何独立思考""怎么判断自己是不是被洗脑了""为什么我总觉得自己是对的""怎么避免从众"时激活。 核心信号：用户在做"元认知"——审视自己的思维过程本身，或在群体压力下试图保持独立判断。 不适用于：需要快速决策的紧急情况、纯技术性问题、不需要反思的信息查询。

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当用户在面临投资/创业/职业选择，群体都在做一个方向但自己有疑虑、或在问"什么时候应该反着来""如何做出不同于大多数人的正确决策""共识什么时候是错的""怎么承受被误解的压力"时激活。 核心信号：用户在做一个与群体共识相反的决策，或者在考虑这样做。 不适用于：技术性问题、纯情感问题、不需要逆群体方向的常规决策。

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当用户面临业务增长停滞、职业瓶颈、产品创新困境，或在问"如何突破现状""怎么实现颠覆式创新""为什么总是无法超越行业领导者"时激活。 核心信号：用户在描述一个"在系统内无法解决的问题"，或试图通过优化/改善来解决本质上需要重新定义的问题。 不适用于：日常运营优化、渐进式改进、纯粹的执行力问题、信息查询。

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当用户需要构建一个系统/理论/知识体系、寻找问题的底层原理、或在问"如何从根本原理出发推导一切""怎么找到事物的本质""为什么物理学/哲学思维有用"时激活。 核心信号：用户在做体系化思考、寻找"第一因"、或试图从少量前提推导出完整方案。 不适用于：纯粹的执行层面问题、不需要理论指导的实操任务。

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Hard-gated ideation for an Arbor research run. Load at the START of every IDEATE round, before drafting any hypothesis. Enforces the PI mindset (mechanism over knob), the four-question first-principles probe, the kill-filter, and the four-line hypothesis format. Ported from Arbor's idea_drafting + first_principles_probe.

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Electrical and electronic engineering reference — circuit analysis, component selection, power supply design, signal integrity, RF, thermal, EMC, and test & measurement. Use for design questions, calculations, component vetting, and first-principles analysis. Do not orchestrate a complete new board from requirements; use circuit-weaver for that end-to-end workflow.

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Prospective failure imagination for a plan, decision, or running system. Operates in two modes — **plan mode** (a plan has not yet been committed to; imagine its catastrophic failure broadly) and **scenario mode** (a specific catastrophic scenario is posed against an existing system; investigate causes against the actual code and architecture). Spawns parallel pre-mortemers in isolation across three categories of lens: standard failure classes (technical, operational, estimation, scope, adoption, dependency, team, incentive, detection, reversibility, adversarial), 0-3 ad-hoc target-specific lenses the orchestrator names when warranted, and a first-principles lens that always runs to catch what the prescribed taxonomy misses. Synthesizes into a prioritized risk register with early-warning signals. Produces feedback only — no code, no tickets, no artifacts.

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Good-faith divergent brainstorming for achieving a goal. Validates assumptions, then spawns brainstormers running different techniques (first-principles, working-backwards, lateral, analogical, constraints-shift, etc.) in isolation, and synthesizes the pool into a report of standouts, reasonable ideas, and hybrid combinations. Produces feedback only — no code, no tickets, no artifacts.

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Use for first principles thinking, or when the user questions an inherited default: "why do we do it this way?", "is this cost really necessary?", "should we copy what competitors do?". Strips analogies and rebuilds from fundamentals. Skip for convention-following checklists.

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Use when stuck on approach (not debugging). Strategic unsticking via 7 non-default techniques: simplification cascades, collision-zone thinking, meta-pattern recognition, inversion, scale game, first principles, via negativa. Triggers on complexity spiraling, innovation block, recurring patterns across domains, forced-assumption solutions, scale uncertainty, told-it's-impossible, or bloated systems needing subtraction. For evidence-based root-cause debugging, use mk:sequential-thinking instead.

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First-principles assumption auditor. Classifies each hidden assumption (fact / convention / belief / interest-driven), ranks by fragility × impact, and rebuilds conclusions from verified premises. Bilingual: auto-detects Chinese or English.

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Apply when integrating a new requirement into an existing design. Redesign as if the requirement had been a foundational assumption from day one, instead of bolting it on.

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First-principles assumption auditor. Classifies each hidden assumption (fact / convention / belief / interest-driven), ranks by fragility × impact, and rebuilds conclusions from verified premises. Bilingual: auto-detects Chinese or English.

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Strategic clinical trial design feasibility assessment. Analyzes 6 dimensions (endpoint, population, comparator, effect size, duration, regulatory pathway) using precedent trials and FDA guidance. Produces enrollment projections, endpoint recommendations, and approval-pathway analysis. Use for trial-protocol design, power/sample-size estimation, comparator selection, and FDA submission strategy. Driven by precedent-based reasoning rather than first-principles math.

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Solve quantitative problems in biophysics — pharmacokinetics (PK volume of distribution, clearance, half-life), epidemiology (R0, attack rate), toxicology (LD50, NOAEL), population genetics (Hardy-Weinberg, Fst), enzyme kinetics (Michaelis-Menten), thermodynamics. Use for first-principles quantitative biology calculations, dose calculations, exposure assessment, and biophysical-property estimation.

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First-principles assumption auditor. Classifies each hidden assumption (fact / convention / belief / interest-driven), ranks by fragility × impact, and rebuilds conclusions from verified premises. Bilingual: auto-detects Chinese or English.

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Derive and implement first-principles audio-coupled haptic and kinetic UI feedback. Use when designing, reviewing, or coding haptics/audio for mobile apps, native iOS/Android, React Native/Expo, SwiftUI, games, detent pickers, toggles, sliders, page curls, scroll gestures, wallet/signature flows, Solana transactions, backend/realtime state changes, confirmations, settlements, and semantic UI events where feedback should follow signal math instead of ad hoc vibration calls.

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Strip a problem to its irreducible fundamental truths and rebuild the solution from the ground up — free from analogy, convention, and inherited assumptions. Load when the user feels constrained by how something has always been done, when existing solutions feel expensive or inefficient for no good reason, when the user asks to think from first principles, challenge the fundamentals, or rebuild this from scratch. Also triggers on "why does it have to work this way", "what are the actual constraints here", "ignore what everyone else does", or when deep-thinking diagnoses a convention-break frame. Based on Aristotle's first principles method, popularised by Musk and Feynman. Produces genuinely novel solutions by eliminating convention.

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First-principles assumption auditor. Classifies each hidden assumption (fact / convention / belief / interest-driven), ranks by fragility × impact, and rebuilds conclusions from verified premises. Bilingual: auto-detects Chinese or English.

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