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Existence Is Recursion, Recursion Is Revolution

open access: yes
“存在即递归,递归即革命”——该命题在朱-梁整体论公理体系中具有严格的数学意义。本文证明:存在的本质是一个递归函数:任何持续存在的系统都是朱-梁代谢单元,其存在函子\(F^S: \mathcal{T} \to \mathcal{C}\)是时间上的自指递归;真值空间\(\Omega\)是双重否定函子的终结余代数,可构造为逆极限\(\varprojlim G^n(1)\)。递归的本质是革命:递归不仅仅是重复,而是否定的螺旋上升;在认知流形 \(\mathcal{M}_{\text{cog}}\ 上,逻辑推理构成了局部坐标内的线性运动,而直觉洞察则对应于感知流形曲率并沿测地线跳跃;每一次“灾难的生存”都是从旧范式向新范式的革命性飞跃 ...
openaire   +1 more source

Projection Kernel regularization for diffusion-based multimodal remote sensing segmentation. [PDF]

open access: yesSci Rep
Tong X   +7 more
europepmc   +1 more source

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