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All the ideas for 'Mathematical Methods in Philosophy', 'Epistemic Injustice' and 'Why there isn't a ready-made world'

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22 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
     Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1)
     A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
     Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
     Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea.
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
     Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting.
7. Existence / D. Theories of Reality / 2. Realism
Metaphysical realism is committed to there being one ultimate true theory [Putnam]
     Full Idea: What makes the metaphysical realist a 'metaphysical' realist is his belief that there is somewhere 'one true theory' (two theories which are true and complete descriptions of the world would be mere notational variants of each other).
     From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Causation')
     A reaction: This is wrong!!!!! Commitment to one reality doesn't imply that only one comprehensive theory is possible. Theory-making (at least in any human language, or in mathematics) is an inherently limited activity.
7. Existence / D. Theories of Reality / 4. Anti-realism
It is an illusion to think there could be one good scientific theory of reality [Putnam]
     Full Idea: The idea of a coherent theory of the noumena; consistent, systematic, and arrived at by 'the scientific method' seems to me to be chimerical.
     From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Failure')
     A reaction: I sort of agree with this, but it definitely doesn't make me an anti-realist.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Shape is essential relative to 'statue', but not essential relative to 'clay' [Putnam]
     Full Idea: Relative to the description 'that statue', a certain shape is an essential property of the object; relative to the description 'that piece of clay', the shape not an essential property (but being clay is).
     From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Intro')
     A reaction: Relative to the description 'that loathsome object', is the statue essentially loathsome? Asserting the essence of an object is a response to the object, not a response to a description of it. This is not the solution to the statue problem.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
     Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory.
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
     Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
     Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
     Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds.
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
     Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5)
     A reaction: They accept lots of successes in modelling necessity and time.
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
It is necessary for a belief that it be held for a length of time [Fricker,M]
     Full Idea: A mental state cannot count as a belief unless it has a reasonable life expectancy. It must be the sort of thing that one is disposed to assert not only now but in the future too.
     From: Miranda Fricker (Epistemic Injustice [2007], 2.3)
     A reaction: There are obvious counterexamples, where a firm belief is strongly formed, only to be dashed by a counterexample (such as a new witness in court) soon afterwards. That said, this idea is obviously correct.
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
The old view that sense data are independent of mind is quite dotty [Putnam]
     Full Idea: Moore and Russell held the strange view that 'sensibilia' (sense data) are mind-independent entities: a view so dotty, on the face of it, that few analytic philosophers like to be reminded that this is how analytic philosophy started.
     From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Intro')
     A reaction: I suspect the view was influenced by the anti-psychologism of Frege, and his idea that all the other concepts are mind-independent, living by their own rules in a 'third realm'. Personally I think analytic philosophy needs more psychology, not less.
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
Offering knowledge needs accuracy and sincerity; receiving it needs testimonial justice [Fricker,M]
     Full Idea: Accuracy and Sincerity sustain trust as regards contributing knowledge to the pool; Testimonial Justice helps sustain trust as regards acquiring knowledge from the pool.
     From: Miranda Fricker (Epistemic Injustice [2007], 5.1)
     A reaction: Fricker's contribution is to show that acquiring knowledge has its own virtues, alongside discovering and communicating it. I take the underlying virtue to be absolute respect for all possible contributors.
13. Knowledge Criteria / C. External Justification / 7. Testimony
Testimonial judgement is not logical, but produces reasons and motivations [Fricker,M]
     Full Idea: Moral/testimonial judgement is non-inferential, uncodifiable, intrinsically motivating, intrinsically reason-giving, and typically has an emotional aspect.
     From: Miranda Fricker (Epistemic Injustice [2007], 3.3)
     A reaction: Fricker's compressed summary of her findings about testimony. The first words indicate her belief that assessment of testimony is a moral affair.
Burge says we are normally a priori entitled to believe testimony [Fricker,M]
     Full Idea: In Tyler Burge's view we have an a priori entitlement for believing what others tell us, other things being equal.
     From: Miranda Fricker (Epistemic Injustice [2007], 1.3 n11)
     A reaction: [Burge 'Content Preservation' 1992] Close to Davidson's Charity (that without a default assumption of truth-speaking language won't work at all). Davidson is right about casual conversation, but for important testimony Burge should be more cautious.
We assess testimonial probabilities by the speaker, the listener, the facts, and the circumstances [Fricker,M]
     Full Idea: A person should receive the word of his interlocutor in the light of the probability that someone like that would (be able and willing to) to tell someone like him the truth about something like this in circumstances like these.
     From: Miranda Fricker (Epistemic Injustice [2007], 3.2)
     A reaction: That's a pretty good summary of the rational response to testimony. I can't think of any other factors.
Assessing credibility involves the impact of both the speaker's and the listener's social identity [Fricker,M]
     Full Idea: For a hearer to identify the impact of identity power in their credibility judgements they must be alert to the impact not only of the speaker's social identity, but also the impact of the own social identity on their credibility judgements.
     From: Miranda Fricker (Epistemic Injustice [2007], 4.1)
     A reaction: [why are all sentences in academic writing twice as long as they need to be? - that question is deeper than it looks!] This is a salutary warning. Not just 'what are my prejudices?', but also 'what is this person willing to tell a person like me?'.
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgements can be unreflective and non-inferential, yet rational, by being sensitive to experience [Fricker,M]
     Full Idea: Our idea of testimonial sensibility is a spontaneous critical sensitivity permanently in training and adapting to experience. …This gives us a picture of how judgements can be rational yet unreflective, critical yet non-inferential.
     From: Miranda Fricker (Epistemic Injustice [2007], 3.4)
     A reaction: Love this. I want to connect human reasoning to good judgement by animals, and I offer the word 'sensible' to bridge the gap. Dogs and scientists can be sensible. Fricker spells out more fully what I have in mind, with reference to testimony.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
To judge agents in remote times and cultures we need a moral resentment weaker than blame [Fricker,M]
     Full Idea: I think that identifying forms of moral resentment that fall short of blame but which are agent-directed is the key to achieving appropriate moral response across historical and cultural distance.
     From: Miranda Fricker (Epistemic Injustice [2007], 4.2)
     A reaction: Very good. Simple blame for horrible actions performed in remote rather horrible societies is pointless. But switching off moral sensibilities when reading history and anthropology looks like a slippery slope, so 'moral resentment' is nice.
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
An alien might think oxygen was the main cause of a forest fire [Putnam]
     Full Idea: Imagine a Venusian lands on Earth and observes a forest fire, and says 'I know what caused that - the atmosphere is saturated with oxygen!'. Thus one man's 'background condition' can easily be another man's 'cause'.
     From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Causation')
     A reaction: You can't sweep 'the' cause of a fire away so easily. There is always oxygen on Earth, but only occasional forest fires. The oxygen doesn't 'trigger' the fire (i.e. it isn't the proximate cause).