3 papers
math.HO2023
Solving the Problem of Induction
Xuezhi Yang
This article solves the Hume's problem of induction using a probabilistic approach. From the probabilistic perspective, the core task of induction is to estimate the probability of…
math.GM2023
Logic and Paradox
Xuezhi Yang
This article discusses the logical errors in the liar paradox, Gödel's incompleteness theorems, Russell's paradox, and the halting problem. In order to avoid these errors, a redefi…
math.CO2012
An upper bound for the crossing number of augmented cubes
Guoqing Wang, Haoli Wang, Yuansheng Yang +2
A {\it good drawing} of a graph is a drawing where the edges are non-self-intersecting and each two edges have at most one point in common, which is either a common end vertex…