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All the ideas for 'works', 'Intro to Contemporary Epistemology' and 'Structures and Structuralism in Phil of Maths'

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72 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
As coherence expands its interrelations become steadily tighter, culminating only in necessary truth [Dancy,J]
     Full Idea: As our system grows in coherence, the interrelations between its parts becomes tighter and tighter;… at the limit contingent truth vanishes, leaving only necessary truth.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 14.7)
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence theory also has the problem that two sets of propositions might fit the facts equally well [Dancy,J]
     Full Idea: The correspondence theory as well as the coherence theory has the problem of more than one set of truths. Why can't two sets of propositions "fit the facts" equally well?
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.2)
3. Truth / D. Coherence Truth / 1. Coherence Truth
Rescher says that if coherence requires mutual entailment, this leads to massive logical redundancy [Dancy,J]
     Full Idea: Rescher complains that if coherence requires mutual entailment, then what is entailed is logically redundant, and the whole system is infected with mutual redundancy.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.1)
If one theory is held to be true, all the other theories appear false, because they can't be added to the true one [Dancy,J]
     Full Idea: From the point of view of someone with a theory every other theory is false, because it cannot be added to the true theory.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.2)
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
Even with a tight account of coherence, there is always the possibility of more than one set of coherent propositions [Dancy,J]
     Full Idea: No matter how tight our account of coherence we have to admit that there may be more than one set of coherent propositions (as Russell pointed out (1907)).
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.2)
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
     Full Idea: While truth can be defined in a relative way, as truth in one particular model, a non-relative notion of truth is implied, as truth in all models.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: [The article is actually discussing arithmetic] This idea strikes me as extremely important. True-in-all-models is usually taken to be tautological, but it does seem to give a more universal notion of truth. See semantic truth, Tarski, Davidson etc etc.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
     Full Idea: In standard ZFC ('Zermelo-Fraenkel with Choice') set theory we deal merely with pure sets, not with additional urelements.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: The 'urelements' would the actual objects that are members of the sets, be they physical or abstract. This idea is crucial to understanding philosophy of mathematics, and especially logicism. Must the sets exist, just as the urelements do?
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
     Full Idea: In second-order logic there are three kinds of variables, for objects, for functions, and for predicates or sets.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: It is interesting that a predicate seems to be the same as a set, which begs rather a lot of questions. For those who dislike second-order logic, there seems nothing instrinsically wicked in having variables ranging over innumerable multi-order types.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
     Full Idea: 'Analysis' is the theory of the real numbers.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: 'Analysis' began with the infinitesimal calculus, which later built on the concept of 'limit'. A continuum of numbers seems to be required to make that work.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
     Full Idea: The difficulties for a nominalistic mereological approach to arithmetic is that an infinity of physical objects are needed (space-time points? strokes?), and it must define functions, such as 'successor'.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: Many ontologically austere accounts of arithmetic are faced with the problem of infinity. The obvious non-platonist response seems to be a modal or if-then approach. To postulate infinite abstract or physical entities so that we can add 3 and 2 is mad.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
     Full Idea: A common formulation of Peano Arithmetic uses 2nd-order logic, the constant '1', and a one-place function 's' ('successor'). Three axioms then give '1 is not a successor', 'different numbers have different successors', and induction.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: This is 'second-order' Peano Arithmetic, though it is at least as common to formulate in first-order terms (only quantifying over objects, not over properties - as is done here in the induction axiom). I like the use of '1' as basic instead of '0'!
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
     Full Idea: The merits of basing an account of mathematics on set theory are that it allows for a comprehensive unified treatment of many otherwise separate branches of mathematics, and that all assumption, including existence, are explicit in the axioms.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I am forming the impression that set-theory provides one rather good model (maybe the best available) for mathematics, but that doesn't mean that mathematics is set-theory. The best map of a landscape isn't a landscape.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
     Full Idea: Structuralism has emerged from the development of abstract algebra (such as group theory), the creation of axiom systems, the introduction of set theory, and Bourbaki's encyclopaedic survey of set theoretic structures.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: In other words, mathematics has gradually risen from one level of abstraction to the next, so that mathematical entities like points and numbers receive less and less attention, with relationships becoming more prominent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
     Full Idea: Relativist Structuralism simply picks one particular model of axiomatised arithmetic (i.e. one particular interpretation that satisfies the axioms), and then stipulates what the elements, functions and quantifiers refer to.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: The point is that a successful model can be offered, and it doesn't matter which one, like having any sort of aeroplane, as long as it flies. I don't find this approach congenial, though having a model is good. What is the essence of flight?
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
     Full Idea: The term 'structure' has two uses in the literature, what can be called 'particular structures' (which are particular relational systems), but also what can be called 'universal structures' - what particular systems share, or what they instantiate.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §6)
     A reaction: This is a very helpful distinction, because it clarifies why (rather to my surprise) some structuralists turn out to be platonists in a new guise. Personal my interest in structuralism has been anti-platonist from the start.
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
     Full Idea: According to 'pattern' structuralism, what we study are not the various particular isomorphic models of arithmetic, but something in addition to them: a corresponding pattern.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §7)
     A reaction: Put like that, we have to feel a temptation to wield Ockham's Razor. It's bad enough trying to give the structure of all the isomorphic models, without seeking an even more abstract account of underlying patterns. But patterns connect to minds..
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
     Full Idea: There are four main variants of structuralism in the philosophy of mathematics - formalist structuralism, relativist structuralism, universalist structuralism (with modal variants), and pattern structuralism.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §9)
     A reaction: I'm not sure where Chihara's later book fits into this, though it is at the nominalist end of the spectrum. Shapiro and Resnik do patterns (the latter more loosely); Hellman does modal universalism; Quine does the relativist version. Dedekind?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
     Full Idea: Formalist Structuralism endorses structural methodology in mathematics, but rejects semantic and metaphysical problems as either meaningless, or purely formal, or as inference relations.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §3)
     A reaction: [very compressed] I find the third option fairly congenial, certainly in preference to rather platonist accounts of structuralism. One still needs to distinguish the mathematical from the non-mathematical in the inference relations.
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
     Full Idea: It is tempting to take a modal turn, and quantify over all possible objects, because if there are only a finite number of actual objects, then there are no models (of the right sort) for Peano Arithmetic, and arithmetic is vacuously true.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: [compressed; Geoffrey Hellman is the chief champion of this view] The article asks whether we are not still left with the puzzle of whether infinitely many objects are possible, instead of existent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
     Full Idea: Universalist Structuralism is a semantic thesis, that an arithmetical statement asserts a universal if-then statement. We build an if-then statement (using quantifiers) into the structure, and we generalise away from any one particular model.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: There remains the question of what is distinctively mathematical about the highly generalised network of inferences that is being described. Presumable the axioms capture that, but why those particular axioms? Russell is cited as an originator.
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
     Full Idea: Universalist Structuralism is eliminativist about abstract objects, in a distinctive form. Instead of treating the base element (say '1') as an ambiguous referring expression (the Relativist approach), it is a variable which is quantified out.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: I am a temperamental eliminativist on this front (and most others) so this is tempting. I am also in love with the concept of a 'variable', which I take to be utterly fundamental to all conceptual thought, even in animals, and not just a trick of algebra.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
     Full Idea: Relativist Structuralism must first assume the existence of an infinite set, otherwise there would be no model to pick, and arithmetical terms would have no reference.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: See Idea 10169 for Relativist Structuralism. They point out that ZFC has an Axiom of Infinity.
7. Existence / D. Theories of Reality / 2. Realism
Realism says that most perceived objects exist, and have some of their perceived properties [Dancy,J]
     Full Idea: Realism in the theory of perception is that objects we perceive usually do exist, and retain some at least of the properties we perceive them as having.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.2)
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
     Full Idea: One way for a nominalist to reject appeal to all abstract objects, including sets, is to only appeal to nominalistically acceptable objects, including mereological sums.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I'm suddenly thinking that this looks very interesting and might be the way to go. The issue seems to be whether mereological sums should be seen as constrained by nature, or whether they are unrestricted. See Mereology in Ontology...|Intrinsic Identity.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
A pupil who lacks confidence may clearly know something but not be certain of it [Dancy,J]
     Full Idea: Why isn't certainty required for knowledge? Because we are often prepared to allow that someone does in fact have knowledge when the person is so uncertain they would not claim knowledge for themselves (the 'diffident schoolboy').
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 2.1)
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
If senses are fallible, then being open to correction is an epistemological virtue [Dancy,J]
     Full Idea: In my view, once we admit that our beliefs about our sensory states are not infallible, incorrigibility would be a vice rather than a virtue.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 4.3)
     A reaction: This seems to be axiomatic among modern philosophers, and I certainly agree with it.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
Naïve direct realists hold that objects retain all of their properties when unperceived [Dancy,J]
     Full Idea: The naïve direct realist holds that unperceived objects are able to retain properties of all the types we perceive them as having, which includes not only a shape and a size, but also a colour, a taste and a smell.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.3)
     A reaction: This I take to be a completely untenable view, if we are including the qualia of red, sweet or pungent among the properties. It seems uncontroversial that objects retain the capacity to cause redness etc. when they are unperceived.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Scientific direct realism says we know some properties of objects directly [Dancy,J]
     Full Idea: The scientific direct realist accepts the directness of our perception of the world, but restricts his realism to a special group of properties, ..not including those which are dependent for their existence upon the existence of a perceiver.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.3)
     A reaction: Dancy goes on to say that this distinction is a 'close relative' of Locke's primary/secondary distinction. Am I a direct realist or a representative realist about primary properties? Maybe the distinction dissolves as we unravel the true process.
Maybe we are forced from direct into indirect realism by the need to explain perceptual error [Dancy,J]
     Full Idea: Direct realism is unlikely to be able to provide an explanation of perceptual error without collapsing into indirect realism.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.3)
     A reaction: If there is an error, there must be two things which don't match: the perception, and the reality. This seems to me a powerful reason for preferring indirect or representative realism. I like the idea that we make mental 'models' (rather than inferences).
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / c. Representative realism
Internal realism holds that we perceive physical objects via mental objects [Dancy,J]
     Full Idea: Indirect realism holds that in perception we are indirectly aware of the physical objects around us in virtue of a direct awareness of internal, non-physical objects.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.4)
     A reaction: This may be a slightly prejudicial definition which invites insoluble questions about the ontological status of the internal 'objects'. It seems to me obvious that we create some sort of inner 'models' or constructions in the process of perception.
Indirect realism depends on introspection, the time-lag, illusions, and neuroscience [Dancy,J, by PG]
     Full Idea: The four standard reasons for preferring indirect to direct realism are introspection of our mental processes, the time-lag argument, the argument from illusion, and the findings of neuroscience.
     From: report of Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.4) by PG - Db (ideas)
     A reaction: Ultimately one's views about realism depend on one's views of the mind/brain, and it is the last of the four reasons that sways me. We know enough about the complexity of the brain to accept that it represents reality, with no additional ontology.
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Phenomenalism includes possible experiences, but idealism only refers to actual experiences [Dancy,J]
     Full Idea: Phenomenalism talks about actual and possible experiences, whereas idealism confines itself to the actual experiences.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 9.5)
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Eliminative idealists say there are no objects; reductive idealists say objects exist as complex experiences [Dancy,J]
     Full Idea: The eliminativist idealist holds that there is no such thing as a material object; there is nothing but experience (idea, sensation). The reductive idealist holds that there are material objects, but they are nothing other than complexes of experience.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.6)
     A reaction: Dancy says Berkeley was of the latter type. The distinction doesn't strike me as entirely clear. I can't make much sense of the words 'are' or 'exist' in the second theory. To say it is only experiences translates (to me) as 'doesn't exist'.
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
Extreme solipsism only concerns current experience, but it might include past and future [Dancy,J]
     Full Idea: Extreme solipsism only considers present experiences, but more relaxed solipsism may include past and possible future experiences.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 9.5)
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
Knowing that a cow is not a horse seems to be a synthetic a priori truth [Dancy,J]
     Full Idea: The fact that a cow is not a horse is a candidate for a priori synthetic truth. It doesn't seem to be analytic, because you can know what a cow is without knowing what a horse is.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 14.3)
12. Knowledge Sources / B. Perception / 1. Perception
Perception is either direct realism, indirect realism, or phenomenalism [Dancy,J]
     Full Idea: There are three main families of theories of perception: direct realism, indirect realism, and phenomenalism.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.2)
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
We can't grasp the separation of quality types, or what a primary-quality world would be like [Dancy,J]
     Full Idea: There is doubt about whether our experience of the world is such that we can conceive of the sort of separation of primary and secondary qualities which the scientific view calls for, and can understand what the world is like with no secondary qualities.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.3)
     A reaction: Dancy attributes these doubts to Berkeley (e.g. Idea 3837). I think what is claimed here is false. Obviously we spend our whole lives immersed in secondary qualities, but separating the different aspects is precisely what scientists (and philosophers) do.
For direct realists the secondary and primary qualities seem equally direct [Dancy,J]
     Full Idea: For a direct realist our awareness of colour and heat can hardly be of a different order from our awareness of shape and size. Both sorts of properties are presented with equal directness.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.3)
     A reaction: This is a good objection to 'direct scientific realism', which claims direct apprehension of primary qualities alongside a totally relative view of secondary qualities. The best response seems to be to move to a representative view of primary properties.
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
We can be looking at distant stars which no longer actually exist [Dancy,J]
     Full Idea: An object such as a distant star can have ceased to exist by the moment at which we are directly aware of it.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 10.2)
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
It is not clear from the nature of sense data whether we should accept them as facts [Dancy,J]
     Full Idea: The question whether something which appears as datum should remain as accepted fact is one which is not even partially determined by its origin as datum.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.5)
12. Knowledge Sources / B. Perception / 7. Causal Perception
Appearances don't guarantee reality, unless the appearance is actually caused by the reality [Dancy,J]
     Full Idea: If I stare at a white wall with my brain wired to a virtual reality computer, and it generates a white wall, we wouldn't say I am seeing reality. It seems that the wall itself must in some way cause my perception of it.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 11.4)
     A reaction: But suppose the computer generated in my mind an image of the wall which was actually in front of me? And suppose the computer got its image from the identical wall next door, not from mine? And it was only judged identical because the architect said so
Perceptual beliefs may be directly caused, but generalisations can't be [Dancy,J]
     Full Idea: A perceptual belief that p can have as its main cause the fact that p. More general facts (all men are mortal; e=mc2) cannot be the main cause of my belief, even if they do function causally in some way.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 11.5)
     A reaction: Note that the perceptual belief can be the "main" cause; it seems to me that most beliefs are caused by judgements, though I may normally accept beliefs which are directly caused by perception, if I have no reason to challenge them.
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
If perception and memory are indirect, then two things stand between mind and reality [Dancy,J]
     Full Idea: If perception is indirect as well as memory, this means there are two direct objects of awareness between the remembering mind and the original object.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 12.2)
Memories aren't directly about the past, because time-lags and illusions suggest representation [Dancy,J]
     Full Idea: Direct realism about memory believes the memory is the past. But the time-lag argument and various illusions are powerful here, suggesting indirect realism involving a memory image.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 12.2)
Phenomenalism about memory denies the past, or reduces it to present experience [Dancy,J]
     Full Idea: Eliminative phenomenalism about memory holds that there is no such thing as the past, just certain present experiences; reductive phenomenalism holds that there is a past, but it is no more than a complex of those present experiences.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 12.4)
I can remember plans about the future, and images aren't essential (2+3=5) [Dancy,J]
     Full Idea: Memory is not solely concerned with the past, let alone one's own past (I remember that I must be in London next week), and need not involve images (2+2=4).
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 12.3)
     A reaction: I can hardly remember the future, so I presume I am remembering my past commitment to go to London, even if I visualise the future with me in London. The non-necessity of images seems right. I can remember the Mona Lisa without a precise image.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Foundations are justified by non-beliefs, or circularly, or they need no justification [Dancy,J]
     Full Idea: Foundationalism can get rid of the regress argument with one of three types of belief: those justified by something other than beliefs, those which justify themselves, or those which need no justification.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 4.3)
     A reaction: A nice clear trilemma, and none of them will do, which is why foundationalism is false. I vote for Davidson's view, that only a belief can justify another belief.
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
For internalists we must actually know that the fact caused the belief [Dancy,J]
     Full Idea: The internalist would claim that even if the belief is caused by the true fact to which it refers, it is also necessary that the believer believes that this is how their belief arose, and not some other way.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 3.5)
     A reaction: I'm converted to internalism. If the belief is externally supported in the right way, then it may well be a true belief, but knowledge needs critical faculties, and justifications which can be articulated.
Internalists tend to favour coherent justification, but not the coherence theory of truth [Dancy,J]
     Full Idea: Internalists such as Keith Lehrer tend to suggest that we adopt a coherence theory of justification but reject the coherence theory of truth.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.3)
     A reaction: I agree with Lehrer. Truth just isn't coherence, for all sorts of well known reasons (found in this database!). High coherence can be totally false. For justification, though, it is the best we have.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Foundationalism requires inferential and non-inferential justification [Dancy,J]
     Full Idea: The core of any form of foundationalism is the view that there are two forms of justification - inferential and non-inferential - and that non-inferential justification must be possible to avoid a sceptical regress.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 4.1)
     A reaction: The foundation may be non-inferential, but is it also non-evidential, or devoid of any support at all, apart from its own eloquent self? I can't buy that, I'm afraid.
Foundationalists must accept not only the basic beliefs, but also rules of inference for further progress [Dancy,J]
     Full Idea: Foundationalists suppose we need not only basic beliefs, but also principles of inference to move to the more sophisticated superstructure. We may understand what justifies the basic beliefs, but what about the inference principles?
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.3)
     A reaction: Very nice question. Of course, you can't justify everything, but each part of a system can be scrutinised in turn by the other parts (with scrutinising principles tested pragmatically).
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
If basic beliefs can be false, falsehood in non-basic beliefs might by a symptom [Dancy,J]
     Full Idea: Falsehood in a non-basic belief would be a reason to doubt the basic beliefs which support it, once we have admitted that basic beliefs can be false.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 4.3)
     A reaction: The yearning for foundations arises from the yearning for certainty. If one embraces the fallibilist view of knowledge, as I do, then there is little motivation for foundationalism.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
Beliefs can only be infallible by having almost no content [Dancy,J]
     Full Idea: Infallible beliefs must have vanishingly small content. No belief with enough content to support the superstructure in which we are really interested is going to be infallible.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 4.2)
     A reaction: I see no reason why a foundationalist should not be a fallibilist, rather than insisting on the infallibility of their basic beliefs. I don't, though, see how basic beliefs can count as knowledge.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Coherentism gives a possible justification of induction, and opposes scepticism [Dancy,J]
     Full Idea: Coherentists feel that their approach provides a possible justification for induction, and offers a general stance from which the sceptic can be defused, if not rebutted.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.3)
     A reaction: These are two good reasons why I vote for coherentism (about justification, NOT about truth). Coherence is the main tool for leading us to the best explanation.
Idealists must be coherentists, but coherentists needn't be idealists [Dancy,J]
     Full Idea: An idealist should perhaps be a coherentist, but there seems to be no reason why the coherentist should be an idealist; the link between the two is all one-way.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 9.5)
     A reaction: I don't see why an idealist shouldn't be a rationalist foundationalist, with a private reality full of certainties founded on simple a priori truths. Personally I'm an empiricist coherentist, this week.
For coherentists justification and truth are not radically different things [Dancy,J]
     Full Idea: The coherentist idea is that justification and truth are not properties of radically different types.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 11.6)
     A reaction: Oh. And I thought I was a coherentist. It take it that keeping coherence for foundations separate from coherence as truth is absolutely basic. The latter is nonsense.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
If it is empirical propositions which have to be coherent, this eliminates coherent fiction [Dancy,J]
     Full Idea: If coherence is grounded in, and is trying to make sense of, a set of empirical propositions, this will eliminate some of the more fanciful sets of coherent propositions, such as the complete Sherlock Holmes stories.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.2)
     A reaction: Interestingly, I suspect that embracing the coherence view of justification drives one back to empiricisim (pace Bonjour), because that is the most authoritative part of the pattern of beliefs.
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalism could even make belief unnecessary (e.g. in animals) [Dancy,J]
     Full Idea: One reading of the externalist approach may lead to a rejection of the belief condition for knowledge (in animals, perhaps).
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 9.3)
     A reaction: At this point the concept of 'knowledge' seems to disperse into the mist. This pushes me to a 'setting the bar high' view of knowledge. Otherwise plants will have it, and we don't want that.
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
How can a causal theory of justification show that all men die? [Dancy,J]
     Full Idea: How can a causal analysis of justification show that I know that all men die?
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 2.3)
     A reaction: I presume he means that inductive generalisations can't be purely causal. The claim that men are immortal is absurd because it is 'unconnected' to what actually happens.
Causal theories don't allow for errors in justification [Dancy,J]
     Full Idea: Causal accounts of justification do not allow for the possibility that a false belief may still be justified.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 2.4)
     A reaction: Good. If you switch to what you only think is the cause of your belief, you have gone internalist and ruined the party. You can't deny that a falsehood can be justified, or justification is vacuous.
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Coherentism moves us towards a more social, shared view of knowledge [Dancy,J]
     Full Idea: An advantage of coherentism is that it directs attention away from the individual's struggle to achieve knowledge (the classical conception), and points to knowledge as a social phenomenon, shared, and increased by means of sharing.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 8.3)
     A reaction: This is exactly the view which I now embrace. Internal coherence is the basis, but that spills out into the community, and into books, and into the relativity of social acceptance.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
What is the point of arguing against knowledge, if being right undermines your own argument? [Dancy,J]
     Full Idea: What is the point of arguing that justified belief is impossible, for if you were right there could be no reasons for your conclusion?
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 1.3)
14. Science / C. Induction / 6. Bayes's Theorem
Probabilities can only be assessed relative to some evidence [Dancy,J]
     Full Idea: In Probability Calculus probability is only assessed relative to some evidence.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 4.1)
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
The argument from analogy rests on one instance alone [Dancy,J]
     Full Idea: As an inductive argument Mill's argument from analogy (other people have inputs and outputs like mine, so the intermediate explanation must be the same) is weak because it is based on a single instance.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 5.3)
     A reaction: The argument may be 'weak' as a piece of pure logic, but when faced with a strange situation, one's own case seems like crucial evidence, like a single eye-witness to a crime.
You can't separate mind and behaviour, as the analogy argument attempts [Dancy,J]
     Full Idea: The analogy argument makes the error (as Wittgenstein showed) of assuming that mind is quite separate from behaviour, and yet I can understand what it is for others to have mental states, which is contradictory.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 5.3)
     A reaction: It has always seemed to me that Wittgenstein is excessively behaviourist, and he always seems to be flirting with eliminative views of mind, so he was never bothered about other minds. Minds aren't separate from behaviour, but they are distinct.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verificationism (the 'verification principle') is an earlier form of anti-realism [Dancy,J]
     Full Idea: Verificationism (the 'verification principle') is an earlier form of anti-realism.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 1.note)
     A reaction: If the one true God announced that there is a real world out there, I might take that as a verification of the fact.
Logical positivism implies foundationalism, by dividing weak from strong verifications [Dancy,J]
     Full Idea: The foundationalist claim that there are inferential and non-inferential justifications is mirrored by the claim of logical empiricism (the verification principle) that all significant statements are either strongly or weakly verifiable.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 6.2)
     A reaction: I take it to be characteristic of both to divide the support for something into two types, one of which is basic, and the other built up on the basics. The first step is to decide what is basic.
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
If the meanings of sentences depend on other sentences, how did we learn language? [Dancy,J]
     Full Idea: It is clearly possible to learn a language from scratch, because we have all done it, but if holism is true and the meaning of each sentence depends on the meanings of others, how did we do it?
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 7.2)
     A reaction: The question of 'how did it ever get started?' actually seems to block almost every explanation of everything that ever happens. How do I begin to move my hand?
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
There is an indeterminacy in juggling apparent meanings against probable beliefs [Dancy,J]
     Full Idea: Indeterminacy stems from an interplay between belief and meaning, as with a man who tells you he keeps two rhinoceri in the fridge and squeezes the juice of one for a drink each morning.
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 7.4)
     A reaction: I don't understand why an 'interplay' is called an 'indeterminacy'. Typical philosophers. Close examination will usually show whether the change is just in belief, or just in meaning, or in both.
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Charity makes native beliefs largely true, and Humanity makes them similar to ours [Dancy,J]
     Full Idea: One criterion for successful translation is that it show native beliefs to be largely true (Principle of Charity), and another is that it imputes to natives beliefs we can make sense of them having (Principle of Humanity).
     From: Jonathan Dancy (Intro to Contemporary Epistemology [1985], 7.4)
     A reaction: The trouble with such guidelines is that they always have to be 'all things being equal'. Sometimes the natives are really idiotic, and sometimes their attitudes seem quite inhuman.
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
     Full Idea: Philosophers are the forefathers of heretics.
     From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]
     Full Idea: I believe because it is absurd ('Credo quia absurdum est').
     From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2
     A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though.