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If by critical thinking you mean rational thinking, then illogical thinking is it's opposite and excludes it of necessity.

If instead you simply mean "thinking that is effective", then illogical thinking interferes only insofar as rational thinking is effective. Our society holds up rational analysis as an ideal, but in some situations intuitive, seemingly illogical thought produces better results.

Critical thinking is sequential. Each stage or step of the thought process must be analyzed and found to be correct before moving on to the next step and the next step. And so on toward a purposeful end. This is a structured process. For example: "If A then B, if B then C, if C then D." If each step is reasoned and correct then also: "if A then D follows." Illogical thinking would interfere with the sequence somewhere, interfering and breaking the chain. For example: "If A then B, if B then K, if C then D." There's no link from B to C, interfering with the sequence.

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Q: How does illogical thinking interfere with critical thinking?
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