Combining Texts

All the ideas for 'The Problem of Empty Names', 'Foundations of Geometry' and 'De arcanus motus'

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5 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Geometrical axioms imply the propositions, but the former may not be true [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
Every necessary proposition is demonstrable to someone who understands [Leibniz]