全域先验结构认知范式:人类两种底层思维的根本分野与科学创新的范式革命根源 The Global Priori Structural Cognitive Paradigm: The Fundamental Divergence of Two Underlying Human Thinking Modes and the Root of Paradigm Revolution in Scientific Innovation

作者:郭洋洋 (Guo Yangyang)
ORCID:0009-0006-6669-1790
通讯邮箱:gyy-goes@foxmail.com
系列归属:GYY-GOES 全域演化体系・法律层认知科学专项衍生分册
理论标识:全域先验结构思维、局部内生串行思维、双类想象力范式、公共客观校验过滤定理、基准 - 扰动元范式、手段 - 本源二分法、迷宫终点锚定原理
预印本分类:[cs.CY](cs.CY)(计算机与社会)、math.HO(数学通识)、physics.hist-ph(科学史与科学哲学)
提交日期:2026 年 8 月 2 日
DOI:10.5281/zenodo.21757100

摘要

人类科学与数学的发展历程中,始终并存两套底层逻辑互斥、认知路径完全反向的心智范式,学界长期未对其进行严格的本体论划分。本文首次从认知推演结构与想象力生成机制双维度,完整定义两类互斥心智体系:其一为局部内生串行思维(LEST),配套叙事生长型想象力;其二为全域先验结构并行思维(GPST),配套拓扑架构型想象力。

局部内生范式以局部定义为起点,自下而上逐步生长整体结论,其想象力擅长情节延伸、局部推演、连续叙事,适配增量式创新;全域先验范式以系统全域拓扑结构为认知起点,先完整预知全局终态,再向下填充细节,其想象力不擅长故事虚构与局部生长,但擅长提前锁定体系全部脉络、层级结构与终局形态,是范式革命的唯一心智来源。

本文通过微积分、对数两大基础数学概念的认知对比,实证两类范式的认知鸿沟:主流体系普遍将「技术实现手段」混淆为「理论本源思想」,导致知识传递效率低下、本源抽取能力缺失。本文进一步严格区分了「全域先验自洽心智」与「固执己见心智」的本质边界,提出公共客观校验过滤定理。

结合科学史与千禧难题攻坚路径,本文提出迷宫终点锚定原理:传统研究如同无坐标迷宫探索,依靠特设假设封堵错误路径渐进推演,典型如三维挂谷猜想证明;全域先验范式能够预先锁定最终结论坐标,即便不被主流工具体系接纳,依旧可作为外部目标锚点,指引传统范式内部完成路径构造。所有颠覆性体系必然是「大纲先行、细节后填」,不可能由局部自然生长而成。

本研究从逻辑推演维度 + 想象力类型维度双重闭环解释人类认知差异,为破解基础科学创新瓶颈、界定人工智能的能力边界、解释顶级理论创新的心智本质提供统一认识论框架。

关键词:认知范式;全域先验结构;局部内生思维;双类想象力范式;拓扑架构想象;叙事生长想象;公共客观校验;迷宫锚定原理;科学革命;AI 边界

Abstract

Throughout the history of human science and mathematics, there have coexisted two mutually exclusive underlying mental paradigms with completely reversed cognitive paths, which have not been strictly ontologically classified by the academic community for a long time. For the first time, this paper completely defines two mutually exclusive mental systems from the dual dimensions of cognitive deduction structure and imagination generation mechanism: the first is Local Endogenous Serial Thinking (LEST) with narrative-growing imagination; the second is Global Priori Structural Parallel Thinking (GPST) with topological architectural imagination.

The local endogenous paradigm starts from local definitions and gradually grows overall conclusions from the bottom up. Its imagination is good at plot extension, local deduction and continuous narrative, which is suitable for incremental innovation. The global priori paradigm takes the global topological structure of the system as the cognitive starting point, fully predicting the global final state first, then filling in local details downward. Its imagination is not good at fiction and local growth, but excels at locking the overall context, hierarchical structure and final form of the system in advance, which is the exclusive mental source of paradigm revolution.

Through the cognitive comparison of two basic mathematical concepts, calculus and logarithm, this paper demonstrates the cognitive gap between the two paradigms: the mainstream system generally confuses "technical implementation means" with "the original idea of theory", resulting in low efficiency of knowledge transmission and lack of essential extraction ability. This paper further strictly distinguishes the essential boundary between "global priori self-consistent mind" and "stubborn mind", and puts forward the Public Objective Verification Filter Theorem.

Combined with the history of science and the research path of Millennium Prize Problems, this paper proposes the Maze Endpoint Anchoring Principle: traditional research is like maze exploration without coordinates, relying on ad hoc assumptions to block wrong paths and deduce progressively, typically as the proof of the three-dimensional Kakeya conjecture; the global priori paradigm can lock the final conclusion coordinates in advance. Even if it is not accepted by the mainstream tool system, it can still serve as an external target anchor to guide the path construction within the traditional paradigm. All subversive systems must be "outline first, details later", and cannot be naturally grown from local parts.

This study provides a unified epistemological framework for explaining human cognitive differences, breaking through the bottleneck of basic scientific innovation, defining the capability boundary of artificial intelligence, and explaining the mental essence of top-level theoretical innovation.

Keywords: Cognitive Paradigm; Global Priori Structure; Local Endogenous Thinking; Dual Imagination Paradigm; Topological Architectural Imagination; Narrative Growing Imagination; Public Objective Verification; Maze Anchoring Principle; Scientific Revolution; AI Boundary