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| | John Stuart Mill (Stanford Encyclopedia of Philosophy) |
 | | Mill is thus arguing that, while there are no objective necessary connections, there is nonetheless an objective basis for the necessity of logic, but that it is a fact about the ordinary world that forms this basis, a deep fact to be sure, but a fact nonetheless. |
 | | What Mill does argue about the necessity of geometry and arithmetic, and, for that matter, the basic axioms of other sciences such as physics and chemistry, is that these principles, while from the point of view of their truth are inductive generalizations, are from the point of view of the thinker matters of psychological necessity. |
 | | For Mill the inconceivability of the opposite in the case of perceptual judgments and judgments of sense was a matter of psychology while the inconceivability of the opposite in the case of logic was a matter of that opposite being inconsistent, which is not a matter of psychology. |
| plato.stanford.edu /entries/mill (21345 words) |
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