Combining Texts

All the ideas for 'Introduction to 'Properties'', 'True Believers' and 'Russell'

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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.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
     Full Idea: In order to deduce the theorems of mathematics from purely logical axioms, Russell had to add three new axioms to those of standards logic, which were: the axiom of infinity, the axiom of choice, and the axiom of reducibility.
     From: A.C. Grayling (Russell [1996], Ch.2)
     A reaction: The third one was adopted to avoid his 'barber' paradox, but many thinkers do not accept it. The interesting question is why anyone would 'accept' or 'reject' an axiom.
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).
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]
     Full Idea: Two propositions might contradict each other despite appearing self-evident when considered separately.
     From: A.C. Grayling (Russell [1996], Ch.2)
     A reaction: Russell's proposal (Idea 5416) is important here, that self-evidence comes in degrees. If self-evidence was all-or-nothing, Grayling's point would be a major problem, but it isn't. Bonjour explores the idea more fully (e.g. Idea 3704)
18. Thought / C. Content / 1. Content
States have content if we can predict them well by assuming intentionality [Dennett, by Schulte]
     Full Idea: Dennett maintains that a system has states with representational content if we are able to predict its behaviour reliably and voluminously by adopting the intentional stance toward it.
     From: report of Daniel C. Dennett (True Believers [1981]) by Peter Schulte - Mental Content 5
     A reaction: Dennett himself seems happy to thereby attribute representational content to a chess-playing computer. This sounds like a test for content, rather than explaining what it is. Not promising, I think.
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.