Combining Texts

All the ideas for 'The Problem of Empty Names', 'Expositio super viii libros' and 'fragments/reports'

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5 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
     Full Idea: As speakers of the language, we unreflectively assume that there are nonexistents, and that reference to them is possible.
     From: Marga Reimer (The Problem of Empty Names [2001], p.499), quoted by Sarah Sawyer - Empty Names 4
     A reaction: Sarah Swoyer quotes this as a good solution to the problem of empty names, and I like it. It introduces a two-tier picture of our understanding of the world, as 'unreflective' and 'reflective', but that seems good. We accept numbers 'unreflectively'.
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge is a quality existing subjectively in the soul [William of Ockham]
     Full Idea: Knowledge is a certain quality which exists in the soul as its subject ('existens subiective in anima').
     From: William of Ockham (Expositio super viii libros [1340], Prologue)
     A reaction: One might say here that knowledge is a property, and so it might not be susceptible to further analysis. It invites the question of how you could know by introspection that you have got it, which would be an extreme internalist view.
Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]
     Full Idea: Sometimes 'knowledge' means evident cognition of the conclusion alone, sometimes of the demonstration as a whole.
     From: William of Ockham (Expositio super viii libros [1340], Prologue)
     A reaction: 'Demonstration' will be something like Greek 'logos' - full understanding, ability to explain and give reasons. William is certainly right about normal usage. I know the answer in a quiz, without any requirement for justifications.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Knowledge is certain cognition of something that is true [William of Ockham]
     Full Idea: Knowledge is certain cognition of something that is true.
     From: William of Ockham (Expositio super viii libros [1340], Prologue)
     A reaction: This view has problems. William is not facing up to the sceptical questions which can shake any degree of certainty, and also that someone who lacked self-confidence might know many things while always feeling uncertain about them. 'Cognition' must go!