21222
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Logicians presuppose a world, and ignore logic/world connections, so their logic is impure [Husserl, by Velarde-Mayol]
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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.
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From:
report of Edmund Husserl (Formal and Transcendental Logic [1929]) by Victor Velarde-Mayol - On Husserl 4.5.1
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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.
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19406
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I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]
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Full Idea:
I am so much for the actual infinite that instead of admitting that nature abhors it, as is commonly said, I hold that it affects nature everywhere in order to indicate the perfections of its author.
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From:
Gottfried Leibniz (Reply to Foucher [1693], p.99)
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A reaction:
I would have thought that, for Leibniz, while infinities indicate the perfections of their author, that is not the reason why they exist. God wasn't, presumably, showing off. Leibniz does not think we can actually know these infinities.
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21224
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Pure mathematics is the relations between all possible objects, and is thus formal ontology [Husserl, by Velarde-Mayol]
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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.
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From:
report of Edmund Husserl (Formal and Transcendental Logic [1929]) by Victor Velarde-Mayol - On Husserl 4.5.2
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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.
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20167
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Blame partly rests on the fiction that blamed agents always know their obligations [Williams,B]
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Full Idea:
Blame rests, in part, on a fiction; the idea that ethical reasons, in particular the special kind of ethical reasons that are obligations, must, really, be available to the blamed agent.
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From:
Bernard Williams (How free does the will need to be? [1985], 5)
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A reaction:
In blaming someone, you may be telling them that they should know their obligations, rather than assuming that they do know them. How else can we give children a moral education?
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