Leibniz uses sometimes the quite peculiar expression ‘my law of justice’ in texts that have to do with different kinds of natural knowledge and formal procedures. It seemingly denotes a law of harmony, or of equilibrium, more precisely a law of proportional or uniform distribution—hence the name. In algebra, it dictates various kinds of uniform treatment of variables—in particular with regard to powers, considered as dimensions—and some corresponding practical rules. Behind this law there is a property of formulas and relations, that Leibniz often calls ‘homeoptosis’. Both the law of justice and that of continuity take their origin from the ‘abstract doctrine of Forms’, and they share a common formal kernel. There is no need of a renovated pan-logicist interpretation of Leibniz’s thought in order to ask: Is this ‘law of justice’, fundamentally, in its ultimate nature, a logical law?
Is Leibniz’s ‘Lex Iustitiae’ a Logical Law?
Pasini Enrico
2022-01-01
Abstract
Leibniz uses sometimes the quite peculiar expression ‘my law of justice’ in texts that have to do with different kinds of natural knowledge and formal procedures. It seemingly denotes a law of harmony, or of equilibrium, more precisely a law of proportional or uniform distribution—hence the name. In algebra, it dictates various kinds of uniform treatment of variables—in particular with regard to powers, considered as dimensions—and some corresponding practical rules. Behind this law there is a property of formulas and relations, that Leibniz often calls ‘homeoptosis’. Both the law of justice and that of continuity take their origin from the ‘abstract doctrine of Forms’, and they share a common formal kernel. There is no need of a renovated pan-logicist interpretation of Leibniz’s thought in order to ask: Is this ‘law of justice’, fundamentally, in its ultimate nature, a logical law?
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