Combining Texts

All the ideas for 'fragments/reports', 'Formal and Transcendental Logic' and 'On the Senses'

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5 ideas

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

21222	Logicians presuppose a world, and ignore logic/world connections, so their logic is impure [Husserl, by Velarde-Mayol]
	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.

21223	Phenomenology grounds logic in subjective experience [Husserl, by Velarde-Mayol]
	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.

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 [Husserl, by Velarde-Mayol]
	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.

10. Modality / A. Necessity / 8. Transcendental Necessity

490	Everything happens by reason and necessity [Leucippus]
	Full Idea: Nothing happens at random; everything happens out of reason and by necessity.
	From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where?

13. Knowledge Criteria / E. Relativism / 6. Relativism Critique

20921	How can we state relativism of sweet and sour, if they have no determinate nature? [Theophrastus]
	Full Idea: How could what is bitter for us be sweet and sour for others, if there is not some determinate nature for them?
	From: Theophrastus (On the Senses [c.321 BCE], 70)
	A reaction: The remark is aimed at Democritus. This is part of the general question of how you can even talk about relativism, without attaching stable meanings to the concepts employed.