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Ideas for 'works', 'Is Mathematics purely Linguistic?' and 'The Science of Knowing (Wissenschaftslehre) [1st ed]'

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2 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
     Full Idea: Aristotle apparently believed that the subject-predicate structure of Greek reflected the substance-accident nature of reality.
     From: report of Aristotle (works [c.330 BCE]) by Paul O'Grady - Relativism Ch.4
     A reaction: We need not assume that Aristotle is wrong. It is a chicken-and-egg. There is something obvious about subject-predicate language, if one assumes that unified objects are part of nature, and not just conventional.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Normativity needs the possibility of negation, in affirmation and denial [Fichte, by Pinkard]
     Full Idea: To adopt any kind of normative stance is to commit oneself necessarily to the possibility of negation. It involves doing something correctly or incorrectly, so there must exist the possibility of denying or affirming.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 05
     A reaction: This seems to be the key idea for understanding Hegel's logic. Personally I think animals have a non-verbal experience of negation - when a partner dies, for example.