30 citations · 104 across the 27 of their papers we have counts for
4 papers · 1 filter
Inconsistency of Measure-Theoretic Probability and Random Behavior of Microscopic Systems
Guang-Liang Li, Victor O. K. Li
We report an inconsistency found in probability theory (also referred to as measure-theoretic probability). For probability measures induced by real-valued random variables, we ded…
Inconsistency of Measure-Theoretic Probability
Guang-Liang Li, Victor O. K. Li
We reveal a contradiction in measure-theoretic probability. The contradiction is an "equation" with its two sides representing probabilities. Unlike known paradoxes in ma…
Collective Property of Numbers and Its Mathematical Refutation
Guang-Liang Li, Victor O. K. Li
A number has the "collective" property if the number is the greatest lower bound of a bounded, strictly decreasing sequence on the real line. We prove that numbers with the collect…
Current Mathematics Appears to Be Inconsistent
Guang-Liang Li, Victor O. K. Li
We show that some mathematical results and their negations are both deducible. The derived contradictions indicate the inconsistency of current mathematics. This paper is an update…