Combining Texts

All the ideas for 'Why coherence is not enough', 'In Defence of Pure Reason' and 'Paradoxes of the Infinite'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy is a priori if it is anything [Bonjour]
     Full Idea: My conviction is that philosophy is a priori if it is anything.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], Pref)
     A reaction: How about knowledge of a posteriori necessities, such as the length of a metre, known by observation of the standard metre in Paris?
2. Reason / A. Nature of Reason / 3. Pure Reason
Perceiving necessary connections is the essence of reasoning [Bonjour]
     Full Idea: If one never in fact grasps any necessary connections between anything, it is hard to see what reasoning could possible amount to.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §4.3)
2. Reason / A. Nature of Reason / 6. Coherence
Coherence can't be validated by appeal to coherence [Bonjour]
     Full Idea: The epistemic authority of coherence cannot itself be established by appeal to coherence.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §3.7 n50)
     A reaction: The standard approach amongs modern philosophers (following, I think, Kripke) is to insist on 'intuition' as basic, despite all its problems. I have no better suggestion.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
     Full Idea: An aggregate whose basic conception renders the arrangement of its members a matter of indifference, and whose permutation therefore produces no essential difference, I call a 'set'.
     From: Bernard Bolzano (Paradoxes of the Infinite [1846], §4), quoted by William W. Tait - Frege versus Cantor and Dedekind IX
     A reaction: The idea of 'sets' was emerging before Cantor formalised it, and clarified it by thinking about infinite sets. Nowadays we also have 'ordered' sets, which rather contradicts Bolzano, and we also expect the cardinality to be determinate.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
A truly infinite quantity does not need to be a variable [Bolzano]
     Full Idea: A truly infinite quantity (for example, the length of a straight line, unbounded in either direction) does not by any means need to be a variable.
     From: Bernard Bolzano (Paradoxes of the Infinite [1846]), quoted by Brian Clegg - Infinity: Quest to Think the Unthinkable §10
     A reaction: This is an important idea, followed up by Cantor, which relegated to the sidelines the view of infinity as simply something that could increase without limit. Personally I like the old view, but there is something mathematically stable about infinity.
10. Modality / B. Possibility / 1. Possibility
The concept of possibility is prior to that of necessity [Bonjour]
     Full Idea: While necessity and possibility are interdefinable concepts, it is the idea of a possible world or situation which is intuitively primary.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §1.3)
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Moderate rationalists believe in fallible a priori justification [Bonjour]
     Full Idea: Moderate rationalism preserves a priori justification, but rejects the idea that it is infallible.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §4.1)
Our rules of thought can only be judged by pure rational insight [Bonjour]
     Full Idea: Criteria or rules do not somehow apply to themselves. They must be judged by the sort of rational insight or intuition that the rationalist is advocating.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §5.2)
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
There are five possible responses to the problem of infinite regress in justification [Cleve]
     Full Idea: Sceptics respond to the regress problem by denying knowledge; Foundationalists accept justifications without reasons; Positists say reasons terminate is mere posits; Coherentists say mutual support is justification; Infinitists accept the regress.
     From: James Van Cleve (Why coherence is not enough [2005], I)
     A reaction: A nice map of the territory. The doubts of Scepticism are not strong enough for anyone to embrace the view; Foundationalist destroy knowledge (?), as do Positists; Infinitism is a version of Coherentism - which is the winner.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]
     Full Idea: Contemporary foundationalists are seldom of the strong Cartesian variety: they do not insist that basic beliefs be absolutely certain. They also tend to allow that coherence can enhance justification.
     From: James Van Cleve (Why coherence is not enough [2005], III)
     A reaction: It strikes me that they have got onto a slippery slope. How certain are the basic beliefs? How do you evaluate their certainty? Could incoherence in their implications undermine them? Skyscrapers need perfect foundations.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
A priori justification requires understanding but no experience [Bonjour]
     Full Idea: A proposition will count as being justified a priori as long as no appeal to experience is needed for the proposition to be justified - once it is understood.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §1.2)
     A reaction: Could you 'understand' that a square cannot be circular without appeal to experience? I'm losing faith in the pure a priori.
You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour]
     Full Idea: Moderate empiricists try unsuccessfully to explain a priori justification by means of analyticity, and radical empiricist attempts to dispense with a priori justification end in nearly total scepticism.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §4.1)
     A reaction: My working theory is neither of the above. Because we can abstract from the physical world, we can directly see/experience generalised (and even necessary) truths about it.
A priori justification can vary in degree [Bonjour]
     Full Idea: A priori justification can vary in degree.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §4.5)
     A reaction: This idea, which I trace back at least to Russell, seems to me one of breakthrough ideas in modern thought. It means that a priori knowledge can be reconnected with a posteriori knowledge.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
The induction problem blocks any attempted proof of physical statements [Bonjour]
     Full Idea: The attempt to prove physical statements on the basis of sensory evidence is defeated by the problem of induction.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §3.6)
     A reaction: This sounds like a logician's use of the word 'prove', which would be a pretty forlorn hope. Insofar as experience proves anything, fully sensing a chair proves its existence.
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour]
     Full Idea: An externalist theory of epistemic justification or warrant need not involve the possession by the believer of anything like a reason for thinking that their belief is true.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §3.7)
     A reaction: That is the problem with externalism. If the believer does not have a reason, then why would they believe? Externalists are interesting on justification, but daft about belief. Why do I believe I know something, when I can't recall how I learnt it?
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Externalism means we have no reason to believe, which is strong scepticism [Bonjour]
     Full Idea: If externalism is the final story, we have no reason to think that any of our beliefs are true, which amounts to a very strong and intuitively implausible version of scepticism.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §3.7)
     A reaction: A very good point. I may, like a cat, know many things, with good external support, but as soon as I ask sceptical questions, I sink without trace if I lack internal reasons.
14. Science / C. Induction / 2. Aims of Induction
Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour]
     Full Idea: Inductive explanations must be conceived of as something stronger than mere Humean constant conjunction; …anything less than this will not explain why the inductive evidence occurred in the first place.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §7.7)
18. Thought / C. Content / 1. Content
All thought represents either properties or indexicals [Bonjour]
     Full Idea: I assume that the contents of thought can be accounted for by appeal to just two general sorts of ingredient - properties (including relations) and indexicals.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §6.7)
     A reaction: I don't accept that relations are a type of properties. Since he does not include objects or substances, I take it that he considers objects to be bundles of properties.
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]
     Full Idea: The thesis of the indeterminacy of translation would be better described as the thesis of the indeterminacy of meaning and belief.
     From: Laurence Bonjour (In Defence of Pure Reason [1998], §3.5)
     A reaction: Not necessarily. It is not incoherent to believe that the target people have a coherent and stable system of meaning and belief, but finding its translation indeterminate because it is holistic, and rooted in a way of life.