### 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
 21223 Phenomenology grounds logic in subjective experience
 Full Idea: The phenomenological logic grounds logical notions in subjective acts of experience. From: report of Edmund Husserl (Formal and Transcendental Logic [1929], p.183) by Victor Velarde-Mayol - On Husserl 4.5.1 A reaction: I'll approach this with great caution, but this is a line of thought that appeals to me. The core assumptions of logic do not arise ex nihilo.
 21222 Logicians presuppose a world, and ignore logic/world connections, so their logic is impure
 Full Idea: Husserl maintained that because most logicians have not studied the connection between logic and the world, logic did not achieve its status of purity. Even more, their logic implicitly presupposed a world. From: report of Edmund Husserl (Formal and Transcendental Logic [1929]) by Victor Velarde-Mayol - On Husserl 4.5.1 A reaction: The point here is that the bracketing of phenomenology, to reach an understanding with no presuppositions, is impossible if you don't realise what your are presupposing. I think the logic/world relationship is badly neglected, thanks to Frege.
###### 6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
 21224 Pure mathematics is the relations between all possible objects, and is thus formal ontology
 Full Idea: Pure mathematics is the science of the relations between any object whatever (relation of whole to part, relation of equality, property, unity etc.). In this sense, pure mathematics is seen by Husserl as formal ontology. From: report of Edmund Husserl (Formal and Transcendental Logic [1929]) by Victor Velarde-Mayol - On Husserl 4.5.2 A reaction: I would expect most modern analytic philosophers to agree with this. Modern mathematics (e.g. category theory) seems to have moved beyond this stage, but I still like this idea.