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Two different paradoxes of the fuzzy logic programming system of [29] arepresented. The first paradox is due to two distinct (contradictory) truthvalues for every ground atom of FLP, one is syntactical, the other issemantical. The second paradox concerns the cardinality of the valid FLPformulas which is found to have contradictory values: both $\aleph_0$ thecardinality of the natural numbers, and $c$, the cardinality of the continuum.The result is that CH="False" and Axiom of Choice="False". Hence, ZFC isinconsistent.

Two Fuzzy Logic Programming Paradoxes Imply Continuum Hypothesis="False" & Axiom of Choice="False" Imply ZFC is Inconsistent