Combining Texts

Ideas for 'Issues of Pragmaticism', 'Logical Pluralism' and 'New Proof of Possibility of Well-Ordering'

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2 ideas

18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
     Full Idea: All judgement, for Kant, is essentially the predication of some property to some subject.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: Presumably the denial of a predicate could be a judgement, or the affirmation of ambiguous predicates?
We should judge principles by the science, not science by some fixed principles [Zermelo]
     Full Idea: Principles must be judged from the point of view of science, and not science from the point of view of principles fixed once and for all. Geometry existed before Euclid's 'Elements', just as arithmetic and set theory did before Peano's 'Formulaire'.
     From: Ernst Zermelo (New Proof of Possibility of Well-Ordering [1908], §2a)
     A reaction: This shows why the axiomatisation of set theory is an ongoing and much-debated activity.