From a quantum reality perspective and a Pirsigean MoQ perspective of many truths and many contexts, sophisms are neither paradoxical nor inconsistent. Aristotle's laws of syllogistic logic are tautologies. According to SOM tautologies are always true. Elsewhere in this review, we show you in quantum reality tautologies are not always true. In set theory, logicians sometimes speak of paradox.
Examples usually relate to what they call the power set of a set.
They assume one classical, SOM reality. Note how use of 'the' above keeps pointing at and implying a single reality. If we just eliminate all of ' the ' in our list of SOM propositions, you begin to sense a new and better realm awaiting. Also see thelogos . SOM reality denies any unknown part of actuality and it denies nonactuality.