Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Symbolic Logic (with Langford)' and 'Contextualism Defended (and reply)'

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10 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
     Full Idea: Our concern in giving a definition is not to say how things are by to say how we wish to speak
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
     A reaction: This sounds like an acceptable piece of wisdom which arises out of analytical and linguistic philosophy. It puts a damper on the Socratic dream of using definition of reveal the nature of reality.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
     Full Idea: Neo-Fregeans have thought that Hume's Principle, and the like, might be definitive of number and therefore not subject to the usual epistemological worries over its truth.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
     A reaction: This seems to be the underlying dream of logicism - that arithmetic is actually brought into existence by definitions, rather than by truths derived from elsewhere. But we must be able to count physical objects, as well as just counting numbers.
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
     Full Idea: The fundamental difficulty facing the neo-Fregean is to either adopt the predicative reading of Hume's Principle, defining numbers, but inadequate, or the impredicative reading, which is adequate, but not really a definition.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.312)
     A reaction: I'm not sure I understand this, but the general drift is the difficulty of building a system which has been brought into existence just by definition.
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Modal logic began with translation difficulties for 'If...then' [Lewis,CI, by Girle]
     Full Idea: C.I.Lewis began his groundbreaking work in modal logic because he was concerned about the unreliability of the material conditional as a translation of 'If ... then' conditionals.
     From: report of C.I. Lewis (Symbolic Logic (with Langford) [1932]) by Rod Girle - Modal Logics and Philosophy 12.3
     A reaction: Compare 'if this is square then it has four corners' with 'if it rains then our afternoon is ruined'. Different modalities seem to be involved. We even find that 'a square has four corners' will be materially implied if it rains!
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
Our own intuitions about whether we know tend to vacillate [Cohen,S]
     Full Idea: One robust feature of our intuitions about whether we know things is that they tend to vacillate.
     From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1)
     A reaction: This strikes me as important. If we were tacit invariantists (Idea 19557) we should be able to ask ourselves whether we 'really and truly' know various things, but we can't decide. I know lots about Nietzsche in a pub, and very little in a university.
We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S]
     Full Idea: Maybe contextualists are too quick to appeal to our conflicting intuitions regarding knowledge.
     From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1)
     A reaction: An important point (from Earl Conee). I thoroughly approve of contextualism, but the whole status of whether a witness or a teacher knows what they are talking about is in danger of collapsing into relativism. This is what peer review is all about.
The context sensitivity of knowledge derives from its justification [Cohen,S]
     Full Idea: On my own view, the context sensivity of knowledge is inherited from one of its components, i.e. justification.
     From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1)
     A reaction: That sounds right, and it reinforces the idea that 'justification' is a more important epistemological concept than 'knowledge'. 'Am I justified in believing p?' Answer: 'it depends how well you have researched it'.
Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S]
     Full Idea: Contextualism is a 'good news, bad news' theory. The good news is that we have lots of knowledge and many surfaces are 'flat'; the bad news is that knowledge and flatness are not all they were cracked up to be.
     From: Stewart Cohen (Contextualism Defended (and reply) [2005], 3)
     A reaction: That is exactly my position. I lost all interest in whether someone precisely 'knows' or 'does not know' something a long time ago (even in scientific or forensic contexts). In the case of flatness the case is even more obvious.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S]
     Full Idea: Contextualism concedes that there is some truth to skepticism, but contains the damage by holding that skeptical claims are true only relative to atypically strict contexts.
     From: Stewart Cohen (Contextualism Defended (and reply) [2005], 1)
     A reaction: My attitude to scepticism is that everything we ever affirm should have a footnote saying '...but you never know...', and it should then be ignored. In the strictest context everything is doubted simultaneously (including language), and that is paralysis.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
     Full Idea: If an abstraction principle is going to be acceptable, then it should not 'inflate', i.e. it should not result in there being more abstracts than there are objects. By this mark Hume's Principle will be acceptable, but Frege's Law V will not.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.307)
     A reaction: I take this to be motivated by my own intuition that abstract concepts had better be rooted in the world, or they are not worth the paper they are written on. The underlying idea this sort of abstraction is that it is 'shared' between objects.