The claim conflates 'not purely logical' with 'collapsed'—Carnap's program may have evolved or faced technical challenges without vindicating skepticism about all formal inductive methods.
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True or false just based on the rules of reasoning itself, without depending on facts about the physical world or hidden assumptions.
Skepticism (in philosophy)(the philosophical tradition that mitigated skeptics modified)
The view that we cannot know things with certainty, or that we should doubt claims until they're proven.
formal inductive methods(as systems that the statement defends from skeptical criticism)
Mathematical and logical techniques for drawing general conclusions from specific observations or examples—the tools scientists use to find patterns in data.