Combining Texts

Ideas for 'fragments/reports', 'Gdel's Proof' and 'Vagueness'

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3 ideas

18. Thought / A. Modes of Thought / 2. Propositional Attitudes
To know, believe, hope or fear, one must grasp the thought, but not when you fail to do them [Williamson]
     Full Idea: To know, believe, hope, or fear that A, one must grasp the thought that A. In contrast, to fail to know, believe, hope or fear that A, one need not grasp the thought that A.
     From: Timothy Williamson (Vagueness [1994], 9.3 c)
     A reaction: A simple point, which at least shows that propositional attitudes are a two-stage operation.
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
The human intellect has not been, and cannot be, fully formalized [Nagel/Newman]
     Full Idea: The resources of the human intellect have not been, and cannot be, fully formalized.
     From: E Nagel / JR Newman (Gödel's Proof [1958], VIII)
     A reaction: This conclusion derives from Gödel's Theorem. Some people (e.g. Penrose) get over-excited by this discovery, and conclude that the human mind is supernatural. Imagination is the key - it is a feature of rationality that escapes mechanization.
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
'Blue' is not a family resemblance, because all the blues resemble in some respect [Williamson]
     Full Idea: 'Blue' is vague by some standards, for it has borderline cases, but that does not make it a family resemblance term, for all the shades of blue resemble each other in some respect.
     From: Timothy Williamson (Vagueness [1994], 3.3)
     A reaction: Presumably the point of family resemblance is that fringe members as still linked to the family, despite having lost the main features. A bit of essentialism seems needed here.