Combining Texts

All the ideas for 'Idealism: a critical survey', 'The Roots of Reference' and 'The Foundations of Mathematics'

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

18844	You would cripple mathematics if you denied Excluded Middle [Hilbert]
	Full Idea: Taking the principle of Excluded Middle away from the mathematician would be the same, say, as prohibiting the astronomer from using the telescope or the boxer from using his fists.
	From: David Hilbert (The Foundations of Mathematics [1927], p.476), quoted by Ian Rumfitt - The Boundary Stones of Thought 9.4
	A reaction: [p.476 in Van Heijenoort]

8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived

14296	Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
	Full Idea: Each disposition, in my view, is a physical state or mechanism. ...In some cases nowadays we understand the physical details and set them forth explicitly in terms of the arrangement and interaction of small bodies. This replaces the old disposition.
	From: Willard Quine (The Roots of Reference [1990], p.11), quoted by Stephen Mumford - Dispositions 01.3
	A reaction: A challenge to the dispositions and powers view of nature, one which rests on the 'categorical' structural properties, rather than the 'hypothetical' dispositions. But can we define a mechanism without mentioning its powers?

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism

21513	We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]
	Full Idea: I think it is wrong to tie down the advocates of the coherence theory to a precise definition. ...It would be altogether unreasonable to demand that the moral ideal should be exhaustively defined, and the same may be true of the ideal of thought.
	From: A.C. Ewing (Idealism: a critical survey [1934], p.231), quoted by Erik J. Olsson - Against Coherence 7.6
	A reaction: I strongly agree. It is not a council of despair. I think the criteria of coherence can be articulated quite well (e.g by Thagard), and the virtues of enquiry can also be quite well specified (e.g. by Zagzebski). Very dissimilar evidence must cohere.

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique

21497	If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]
	Full Idea: Without a detailed account, coherence is reduced to the mere muttering of the word 'coherence', which can be interpreted so as to cover all arguments, but only by making its meaning so wide as to rob it of almost all significance.
	From: A.C. Ewing (Idealism: a critical survey [1934], p.246), quoted by Erik J. Olsson - Against Coherence 2.2
	A reaction: I'm a fan of coherence, but it is a placeholder, involving no intrinsic or detailed theory. I just think it points to the reality of how we make judgements, especially practical ones. We can categorise the inputs, and explain the required virtues.