Combining Texts

All the ideas for 'Introduction to 'Properties'', 'works' and 'Difficulties of Transfinite Numbers and Types'

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7 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]
     Full Idea: Ockham's Razor is the principle that we need reasons to believe in entities.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §9)
     A reaction: This presumably follows from an assumption that all beliefs need reasons, but is that the case? The Principle of Sufficient Reason precedes Ockham's Razor.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
The values of variables can't determine existence, because they are just expressions [Ryle, by Quine]
     Full Idea: Ryle objected somewhere to my dictum that 'to be is to be the value of a variable', arguing that the values of variables are expressions, and hence that my dictum repudiates all things except expressions.
     From: report of Gilbert Ryle (works [1950]) by Willard Quine - Reply to Professor Marcus p.183
     A reaction: I have a lot of sympathy with Ryle's view, and I associate it with the peculiar Millian view that we can somehow replace a name in a sentence with the actual physical object. Objects can't be parts of sentences - and maybe they can't be 'values'.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Predicative' norms are those which define a class [Russell]
     Full Idea: Norms (containing one variable) which do not define classes I propose to call 'non-predicative'; those which do define classes I shall call 'predicative'.
     From: Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
     Full Idea: We need rules for deciding what norms are predicative and what are not, unless we adopt the view (which has much to recommend it) that no norms are predicative. ...[146] A predative propositional function is one which determines a class.
     From: Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
     A reaction: He is referring to his 'no class' theory, which he favoured at that time.
8. Modes of Existence / B. Properties / 6. Categorical Properties
Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]
     Full Idea: Properties are respects in which particular objects may be alike or differ.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §1)
     A reaction: Note that this definition does not mention a causal role for properties.
8. Modes of Existence / B. Properties / 12. Denial of Properties
Nominalists ask why we should postulate properties at all [Mellor/Oliver]
     Full Idea: Nominalists ask why we should postulate properties at all.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §3)
     A reaction: Objects might be grasped without language, but events cannot be understood, and explanations of events seem inconceivable without properties (implying that they are essentially causal).
18. Thought / E. Abstraction / 5. Abstracta by Negation
Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]
     Full Idea: Abstract entities (such as sets) are usually understood as lacking causes, effects, and spatio-temporal location.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §10)
     A reaction: This seems to beg some questions. Has the ideal of 'honour' never caused anything? Young men dream of pure velocity.