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All the ideas for 'Mathematical Methods in Philosophy', 'Ethics of the Concern for Self as Freedom' and 'Propositions'

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34 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Critical philosophy is what questions domination at every level [Foucault]
     Full Idea: In its critical aspect, philosophy is that which calls into question domination at every level
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.300)
     A reaction: A very French view of the subject. It is tempting to say that they had their adolescent outburst in 1789, and it is time to grow up. With rights come responsibilities...
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Philosophy and politics are fundamentally linked [Foucault]
     Full Idea: The relationship between philosophy and politics is permanent and fundamental.
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.293)
     A reaction: This idea is one of the biggest gulfs between continental and analytical philosophy. Many aspects of philosophy are turning out to be much more social than analytical philosophers might have thought - epistemology, for example.
2. Reason / A. Nature of Reason / 2. Logos
When logos controls our desires, we have actually become the logos [Foucault]
     Full Idea: Plutarch says if you have mastered principles then logos will silence your desires like a master silencing a dog - in which case the logos functions without intervention on your part - you have become the logos, or the logos has become you.
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.286)
     A reaction: If you believe that logos is pure reason, you might be quite happy with this, but if you thought it was a cultural construct, you might feel that you had been cunningly enslaved. If I ask 'what is 7+6?', logos interrupts me to give the answer.
2. Reason / E. Argument / 1. Argument
Arguers often turn the opponent's modus ponens into their own modus tollens [Merricks]
     Full Idea: There is a seasoned method of turning your opponent's modus ponens into your own modus tollens.
     From: Trenton Merricks (Propositions [2015], 5.VII)
     A reaction: That is, they say 'if he's coming he'll be hear by now, and he's definitely coming', to which you say 'I'm afraid he's not here, so he obviously isn't coming after all'. They say if-A-then-B, and A, so B. You say not-B, so you're wrong about A.
3. Truth / F. Semantic Truth / 2. Semantic Truth
'Snow is white' only contingently expresses the proposition that snow is white [Merricks]
     Full Idea: It is contingently true that 'snow is white' expresses the proposition that snow is white.
     From: Trenton Merricks (Propositions [2015], 1.V n14)
     A reaction: Tarski stuck to sentences, but Merricks rightly argues that truth concerns propositions, not sentences. Sentences are subservient entities - mere tools used to express what matters, which is our thoughts (say I).
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Simple Quantified Modal Logc doesn't work, because the Converse Barcan is a theorem [Merricks]
     Full Idea: Logical consequence guarantees preservation of truth. The Converse Barcan, a theorem of Simple Quantified Modal Logic, says that an obvious truth implies an obvious falsehood. So SQML gets logical consequence wrong. So SQML is mistaken.
     From: Trenton Merricks (Propositions [2015], 2.V)
     A reaction: I admire this. The Converse Barcan certainly strikes me as wrong (Idea 19208). Merricks grasps this nettle. Williamson grasps the other nettle. Most people duck the issue, I suspect. Merricks says later that domains are the problem.
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Converse Barcan implies 'everything exists necessarily' is a consequence of 'necessarily, everything exists' [Merricks]
     Full Idea: The Converse Barcan Formula has a startling result. Simple Quantified Modal Logic (SQML) has the following as a theorem: □∀xFx → ∀x□Fx. So 'everything exists necessarily' is a consequence of 'necessarily, everything exists'.
     From: Trenton Merricks (Propositions [2015], 2.V)
     A reaction: He says this is blatantly wrong. Williamson is famous for defending it. I think I'm with Merricks on this one.
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
Sentence logic maps truth values; predicate logic maps objects and sets [Merricks]
     Full Idea: The models for sentential logic map sentences to truth-values. The models for predicate logic map parts of sentences to objects and sets.
     From: Trenton Merricks (Propositions [2015], 2.II)
     A reaction: Logic books rarely tell you important things like this. That is why this database is so incredibly important! You will never understand the subject if you don't collect together the illuminating asides of discussion. They say it all so much more simply.
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.
9. Objects / E. Objects over Time / 12. Origin as Essential
In twinning, one person has the same origin as another person [Merricks]
     Full Idea: Origin essentialists claim that parental union results in a person, and that person could not have resulted from any other union. However, if the fertilised egg undergoes twinning, at least one of the resultant persons is not the original person.
     From: Trenton Merricks (Propositions [2015], 5.V)
     A reaction: Merricks says that therefore that origin could have just produced the second twin, rather than the original person. This is interesting, but doesn't seem to threaten the necessity of origin thesis. Once I'm here, I have that origin, despite my twin.
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.
13. Knowledge Criteria / E. Relativism / 1. Relativism
Saying games of truth were merely power relations would be a horrible exaggeration [Foucault]
     Full Idea: When I talk about power relations and games of truth, I am absolutely not saying that games of truth are just concealed power relations - that would be a horrible exaggeration.
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.296)
     A reaction: I take this to be a denial of the more absurd forms of relativism. I think there is an interesting convergence between this kind of continental thinking, and the social view of justification found in the later work of Alvin Goldman.
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
A subject is a form which can change, in (say) political or sexual situations [Foucault]
     Full Idea: The subject is not a substance but a form, which is not always identical to itself. You do not have the same relation to yourself when you go to vote and when you seek to fulfil your desires in a sexual relationship.
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.290)
     A reaction: I don't think I believe this. If it were true, the concept of 'sexual politics' would mean nothing to me. A brutal or sympathetic nature is likely to express itself in both situations.
19. Language / A. Nature of Meaning / 1. Meaning
I don't accept that if a proposition is directly about an entity, it has a relation to the entity [Merricks]
     Full Idea: The Aboutness Assumption says that necessarily, if a proposition is directly about an entity, then that proposition stands in a relation to the entity. I shall argue that the Assumption is false.
     From: Trenton Merricks (Propositions [2015], 5.VII)
     A reaction: This feels sort of right, though the nature of aboutness remains elusive. He cites denials of existence. I take speech to be fairly internal, even though its main role is communication. Maybe its a Cambridge relation, as far as the entity is concerned.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A sentence's truth conditions depend on context [Merricks]
     Full Idea: A sentence has truth conditions only in a context of use. And the truth conditions of many sentences can differ from one context of use to another (as in 'I am a philosopher').
     From: Trenton Merricks (Propositions [2015], 1.II)
     A reaction: He is building a defence of propositions, because they are eternal, and have their truth conditions essentially. I too am a fan of propositions.
19. Language / D. Propositions / 1. Propositions
Propositions are standardly treated as possible worlds, or as structured [Merricks]
     Full Idea: The thesis that propositions are sets of possible worlds is one of the two leading accounts of the nature of propositions. The other leading account endorses structured propositions.
     From: Trenton Merricks (Propositions [2015], Intro)
     A reaction: Merricks sets out to reject both main views. I take the idea that propositions actually are sets of possible worlds to be ridiculous (though they may offer a way of modelling them). The idea that they have no structure at all strikes me as odd.
'Cicero is an orator' represents the same situation as 'Tully is an orator', so they are one proposition [Merricks]
     Full Idea: The proposition expressed by 'Cicero is an orator' represents things as being exactly the same way as does the proposition expressed by 'Tully is an orator'. Hence two sentences express the same proposition. Fregeans about names deny this.
     From: Trenton Merricks (Propositions [2015], 2.II)
     A reaction: Merricks makes the situation in the world fix the contents of the proposition. I don't agree. I would expand the first proposition as 'The person I know as 'Cicero' was an orator', but I might never have heard of 'Tully'.
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Propositions are necessary existents which essentially (but inexplicably) represent things [Merricks]
     Full Idea: My account says that each proposition is a necessary existent that essentially represents things as being a certain way, ...and there is no explanation of how propositions do that.
     From: Trenton Merricks (Propositions [2015], Intro)
     A reaction: Since I take propositions to be brain events, I don't expect much of an explanation either. The idea that propositions necessarily exist strikes me as false. If there were no minds, there would have been no propositions.
True propositions existed prior to their being thought, and might never be thought [Merricks]
     Full Idea: 1,000 years ago, no sentence had ever expressed, and no one had believed, the true proposition 'a water molecule has two hydrogen and one oxygen atoms'. There are surely true propositions that have never been, and never will be, expressed or believed.
     From: Trenton Merricks (Propositions [2015], 1.V)
     A reaction: 'Surely'? Surely not! How many propositions exist? Where do they exist? What are they made of? If they already exist when we think them, how do we tune into them? When did his example come into existence? Before water did? No! No!
The standard view of propositions says they never change their truth-value [Merricks]
     Full Idea: The standard view among philosophers nowadays seems to be that propositions do not and even cannot change in truth-value. But my own view is that some propositions can, and do, change in truth value.
     From: Trenton Merricks (Propositions [2015], 3.VII)
     A reaction: He gives 'that A sits' as an example of one which can change, though 'that A sits at time t' cannot change. I take Merricks to be obviously right, and cannot get my head round the 'standard' view. What on earth do they think a proposition is?
19. Language / D. Propositions / 3. Concrete Propositions
Propositions can be 'about' an entity, but that doesn't make the entity a constituent of it [Merricks]
     Full Idea: If a singular proposition is 'directly about' an entity, I argue that a singular proposition does not have the entity that it is directly about as a constituent.
     From: Trenton Merricks (Propositions [2015], Intro)
     A reaction: This opposes the view of the early Russell, that propositions actually contain the entities they are about, thus making propositions real features of the external world. I take that view of Russell's to be absurd.
Early Russell says a proposition is identical with its truthmaking state of affairs [Merricks]
     Full Idea: I describe Russell's 1903 account of propositions as the view that each proposition is identical with the state of affairs that makes that proposition true. That is, a proposition is identical with its 'truthmaking' state of affairs.
     From: Trenton Merricks (Propositions [2015], 4.II)
     A reaction: Russell soon gave this view up (false propositions proving tricky), and I'm amazed anyone takes it seriously. I take it as axiomatic that if there were no minds there would be no propositions. Was the Big Bang a set of propositions?
19. Language / D. Propositions / 5. Unity of Propositions
Unity of the proposition questions: what unites them? can the same constituents make different ones? [Merricks]
     Full Idea: What binds the constituents of a structured proposition together into a single unity, a proposition? Can the very same constituents constitute two distinct propositions? These are questions about 'the unity of the proposition'.
     From: Trenton Merricks (Propositions [2015], 4.II)
     A reaction: Merricks solves it by saying propositions have no structure. The problem is connected to the nature of predication (instantiation, partaking). You can't just list objects and their properties. Objects are united, and thus propositions are too.
We want to explain not just what unites the constituents, but what unites them into a proposition [Merricks]
     Full Idea: A successful account of the unity of the proposition tells us what unites the relevant constituents not merely into some entity or other, but into a proposition.
     From: Trenton Merricks (Propositions [2015], 4.X)
     A reaction: Merrickes takes propositions to be unanalysable unities, but their central activity is representation, so if they needed uniting, that would be the place to look. Some people say that we unite our propositions. Others say the world does. I dunno.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the conscious practice of freedom [Foucault]
     Full Idea: What is ethics, if not the practice of freedom, the conscious [réfléchie] practice of freedom?
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.284)
     A reaction: Makes Foucault sound very existentialist. I'm not sure I understand this kind of remark, given that serial killers seem to be exceptionally good at 'practising their freedom'. However, the idea is akin to Kant's notion of a truly good will (Idea 3710).
24. Political Theory / C. Ruling a State / 1. Social Power
The aim is not to eliminate power relations, but to reduce domination [Foucault]
     Full Idea: The problem is not to dissolve power relations in a utopia of transparent communications, but to acquire the rules of law, the management techniques, the morality, the practice of the self, that allows games of power with minimum domination.
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.298)
     A reaction: If you are a democrat it is hard to disagree with this, though I am still unclear why being dominated should rank as a total disaster. A healthy personal relationship might involve domination. 'Management techniques' is interesting.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The idea of liberation suggests there is a human nature which has been repressed [Foucault]
     Full Idea: I am somewhat suspicious of the notion of liberation, because one runs the risk of falling back on the idea that there is a human nature, that has been concealed or alienated by mechanisms of repression.
     From: Michel Foucault (Ethics of the Concern for Self as Freedom [1984], p.282)
     A reaction: Personally I think there is (to some extent) a human nature, and that it fails to flourish if it gets too much 'liberation. However, the world contains a lot more repression than liberation, so we should all be fans of liberty.