论文标题

向量逻辑允许反事实虚拟化不在

Vector logic allows counterfactual virtualization by The Square Root of NOT

论文作者

Mizraji, Eduardo

论文摘要

在这项工作中,我们使用矢量逻辑(矩阵向量形式主义逻辑函数和真实价值观)调查了反事实条件的表示。在这种形式主义内部,可以在复杂的矩阵中转换反事实,从而预处理含义矩阵,其中一个不含的平方根,一个复杂的矩阵。这种数学方法证明了反事实的虚拟特征。之所以发生这种情况,是因为这种表示产生了反事实的估值,该估值分别通过两个复杂的共轭系数加权了两个相反的真实值。该结果表明,该过程给出了对复杂域的不确定评估。在这一基本表示之后,给定反事实的合理性的判断使我们能够将决定转向接受或拒绝。这种转变是第二次申请的结果,这是两个不可能的两个平方根之一。

In this work we investigate the representation of counterfactual conditionals using the vector logic, a matrix-vectors formalism for logical functions and truth values. Inside this formalism, the counterfactuals can be transformed in complex matrices preprocessing an implication matrix with one of the square roots of NOT, a complex matrix. This mathematical approach puts in evidence the virtual character of the counterfactuals. This happens because this representation produces a valuation of a counterfactual that is the superposition of the two opposite truth values weighted, respectively, by two complex conjugated coefficients. This result shows that this procedure gives an uncertain evaluation projected on the complex domain. After this basic representation, the judgment of the plausibility of a given counterfactual allows us to shift the decision towards an acceptance or a refusal. This shift is the result of applying for a second time one of the two square roots of NOT.

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