数学本质的终极辨析:发现与发明的三维哲学解析 Ultimate Analysis of Mathematical Essence: ThreeDimensional Philosophical Interpretation of Discovery and Invention

: “数学是被发现还是被发明”是贯穿西⽅数学哲学两千余年的核⼼终极命题,⾄今⽆统⼀定论。西⽅ 学界分化为柏拉图实在论(发现论)、形式主义(发明论)、建构主义(折中论)三⼤主流体系,各 执⼀端、⽆法⾃洽统⼀。本⽂突破西⽅⼆元对⽴思维局限,建⽴西⽅哲学、太极统⼀场论、佛学义理 三维解析体系:⾸先系统梳理西⽅数学哲学各流派的核⼼观点与固有悖论;其次依托太极统⼀场论⼋ ⼤核⼼规律、阴阳六种辩证关系,完成数学“发现为本、发明为⽤、体⽤合⼀”的底层定调,破解西 ⽅⾮此即彼的逻辑困局;最后结合佛学空性、能所关系、缘起性空原理,阐释发现与发明的认知本 源。研究结论明确:数学底层本体规律是宇宙本有、⼈类发现所得,数学符号体系、公理范式、推演 ⼯具是⼈类建构、发明所得,⼆者阴阳共⽣、体⽤不⼆,彻底终结数学本质的千古争议,为数理哲 学、基础理论研究提供全新东⽅统⼀范式。 Abstract: Whether mathematics is discovered or invented is an ultimate core proposition of Western mathematical philosophy for more than two thousand years, without a unified conclusion. Western academic circles are divided into three mainstream systems: Platonic realism (discovery theory), formalism (invention theory), and constructivism (eclectic theory), each holding its own view and unable to achieve self-consistent unity. Breaking through the limitations of Western binary opposition thinking, this paper establishes a three-dimensional analytical system of Western philosophy, Taiji Unified Field Theory, and Buddhist principles. Firstly, it systematically sorts out the core viewpoints and inherent paradoxes of various schools of Western mathematical philosophy. Secondly, relying on the eight core laws of Taiji United Nations