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Terms denote only particulars,and the only particulars we can speak of significantly are those we are acquainted with.
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The syllogism is not a form of proof which allows inference to particular statements from general statements,but a form of argument which relates inductive conclusions to present inductive generalizations.
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Mathematical propositions are synthetic and empirical (not analytic and verbal),and the only necessity attaching to them is a psychological necessity.
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By the methods of agreement,difference,residues,and concomitant variation inductive generalizations are possible.
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Inductive inference is based on the principle of the uniformity of nature
-which is itself a principle established by inductive argument.
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