Ideas from 'Formal and Transcendental Logic' by Edmund Husserl [1929], by Theme Structure

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5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logicians presuppose a world, and ignore logic/world connections, so their logic is impure [Velarde-Mayol]
Phenomenology grounds logic in subjective experience [Velarde-Mayol]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Pure mathematics is the relations between all possible objects, and is thus formal ontology [Velarde-Mayol]