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All the ideas for 'Protagoras', 'Two-Dimensional Semantics' and 'Letters to William Molyneux'

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33 ideas

2. Reason / B. Laws of Thought / 4. Contraries
Only one thing can be contrary to something [Plato]
     Full Idea: To everything that admits of a contrary there is one contrary and no more.
     From: Plato (Protagoras [c.380 BCE], 332c)
     A reaction: The sort of thing for which a modern philosopher would demand a proof (and then reject when the proof couldn't be found), where a Greek is happy to assert it as self-evident. I can't think of a counterexample.
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
If asked whether justice itself is just or unjust, you would have to say that it is just [Plato]
     Full Idea: If someone asked me 'Is justice itself just or unjust?' I should answer that it was just, wouldn't you? I agree.
     From: Plato (Protagoras [c.380 BCE], 330c)
9. Objects / D. Essence of Objects / 13. Nominal Essence
Things have real essences, but we categorise them according to the ideas we receive [Locke]
     Full Idea: This I do say, that there are real constitutions in things from whence simple ideas flow, which we observe combin'd in them. But we distinguish particular substances into sorts or genera not by real essences or constitutions, but by observed simple ideas.
     From: John Locke (Letters to William Molyneux [1692], 1693.01.20)
     A reaction: This is the clearest statement I can find of Locke's position on essences. He is totally committed to their reality, but strongly aware of the empirical constraints which keep us from direct knowledge of them. He would be amazed by modern discoveries.
10. Modality / A. Necessity / 3. Types of Necessity
Superficial necessity is true in all worlds; deep necessity is thus true, no matter which world is actual [Schroeter]
     Full Idea: If we have a 'fixedly' operator F, then a sentence is fixedly actually true if it is true no matter which world is designated as actual (which 'he actually won in 2008' fails to be). Maybe '□' is superficial necessity, and FA is 'deep' necessity.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.2.2)
     A reaction: Gareth Evans distinguishes 'deep' from 'superficial' necessity. Humberstone and others introduced 'F'. Presumably FA is deeper because it has to pass a tougher test.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
Contradictory claims about a necessary god both seem apriori coherent [Schroeter]
     Full Idea: It seems apriori coherent that there could be a necessarily existing god, and that there could be no such god - but they can't both be true. Other examples include unprovable mathematical necessities
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.3.4)
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
The only real evil is loss of knowledge [Plato]
     Full Idea: The only real kind of faring ill is the loss of knowledge.
     From: Plato (Protagoras [c.380 BCE], 345b)
     A reaction: This must crucially involve the intellectualist view (of Socrates) that virtuos behaviour results from knowledge, and moral wickedness is the result of ignorance. It is hard to see how forgetting a phone number is evil.
The most important things in life are wisdom and knowledge [Plato]
     Full Idea: It would be shameful indeed to say that wisdom and knowledge are anything but the most powerful forces in human activity.
     From: Plato (Protagoras [c.380 BCE], 352d)
     A reaction: He lumps wisdom and knowledge together, and I think we can take 'knowledge' to mean something like understanding, because obviously mere atomistic propositional knowledge can be utterly trivial.
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
2D semantics gives us apriori knowledge of our own meanings [Schroeter]
     Full Idea: Generalized 2D semantics is meant to vindicate the traditional idea that we have apriori access to our own meanings through armchair reflection.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.1)
     A reaction: The idea is to split meaning in two, so that we know one part of it a priori. It is an unfashionably internalist view of meaning (which doesn't make it wrong!).
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
Everything resembles everything else up to a point [Plato]
     Full Idea: Everything resembles everything else up to a point.
     From: Plato (Protagoras [c.380 BCE], 331d)
18. Thought / C. Content / 5. Twin Earth
Your view of water depends on whether you start from the actual Earth or its counterfactual Twin [Schroeter]
     Full Idea: Your verdicts about whether the stuff on Twin Earth counts as water depends on whether you think of Twin Earth as a hypothesis about your actual environment or as a purely counterfactual possibility.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.2.3)
     A reaction: This is the 'two-dimensional semantics' approach to the Twin Earth problem, which splits meaning into two components. Whether you start from the actual world or from Twin Earth, you will rigidly designate the local wet stuff as 'water'.
18. Thought / C. Content / 7. Narrow Content
Rationalists say knowing an expression is identifying its extension using an internal cognitive state [Schroeter]
     Full Idea: In rationalist views of meaning, based on the 'golden triangle', to be competent with an expression is to be in an internal cognitive state that puts one in a position to identify its extension in any possible world based only on apriori reflection.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.3.1)
     A reaction: This looks like a proper fight-back against modern rampant externalism about meaning. All my intuitions are with internalism, which I think points to a more coherent overall philosophy. Well done, David Chalmers! Even if he is wrong.
19. Language / A. Nature of Meaning / 1. Meaning
Internalist meaning is about understanding; externalist meaning is about embedding in a situation [Schroeter]
     Full Idea: Internalists take the notion of meaning to capture an aspect of an individual's current state of understanding, while externalists take the notion of meaning to reflect how an individual is embedded within her social and physical environment.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.4.3)
     A reaction: This idea also occurs in discussions of concepts (filed here under 'Thought').
19. Language / C. Assigning Meanings / 2. Semantics
Semantic theory assigns meanings to expressions, and metasemantics explains how this works [Schroeter]
     Full Idea: A semantic theory assigns semantic values (meanings) to particular expressions of the language. In contrast, a metasemantic theory explains why expressions have those semantic values, appealing to facts about speakers and communities.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 3.4)
     A reaction: Presumably some people only want the metasemantic version. I assume that the two are entangled, but I would vote for both.
19. Language / C. Assigning Meanings / 4. Compositionality
Semantic theories show how truth of sentences depends on rules for interpreting and joining their parts [Schroeter]
     Full Idea: Semantic theories explain how the truth or falsity of whole sentences depends on the meanings of their parts by stating rules governing the interpretation of subsentential expressions and their modes of combination.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.1.1)
     A reaction: Somehow it looks as if the mystery of the whole business will still be missing if this project is ever successfully completed. Also one suspects that such a theory would be a fiction, rather than a description of actuality, which is too complex.
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Simple semantics assigns extensions to names and to predicates [Schroeter]
     Full Idea: The simplest semantic frameworks assign extensions as semantic values of particular expressions. The extension of a name is the thing, of 'cool' is the set of cool things, and sets of ordered pairs for 2-place predicates. The sentence has T or F.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.1.1)
     A reaction: The immediate well-known problem is different predicates with the same extensions, such as 'renate' and 'cordate'. Possible worlds semantics is supposed to be an improvement to cover this, and to give a semantics for modal talk as well. Sounds good.
'Federer' and 'best tennis player' can't mean the same, despite having the same extension [Schroeter]
     Full Idea: A simple extensional semantics will assign the same semantic value to 'Roger Federer' and 'world's best tennis player', but they clearly differ in meaning, and if events had unfolded differently they would pick out different people.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.1.1)
     A reaction: You would think that this would be too obvious to need pointing out, but it is clearly a view that had a lot of popularity before the arrival of possible worlds.
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
Possible worlds semantics uses 'intensions' - functions which assign extensions at each world [Schroeter]
     Full Idea: In standard possible worlds semantics, the semantic value of an expression is an 'intension', a function that assigns an extension to the expression 'at' every possible world. ...It keeps track of the 'modal profiles' of objects, kinds and properties.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.1.1)
     A reaction: Personally I just don't buy a semantics which is entirely based on extensions, even if this has sorted out some more obvious problems of extensionality. When I say someone is 'my hero', I don't just mean to pick out a particular person.
Possible worlds make 'I' and that person's name synonymous, but they have different meanings [Schroeter]
     Full Idea: In standard possible worlds semantics the semantic value of Hllary Clinton's utterance of 'I' will be the same as her utterance of 'Hillary Clinton'. But clearly the English word 'I' is not synonymous with the name 'Hillary Clinton'.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.1.1)
     A reaction: This problem was spotted by Kaplan, and it has been a chief motivator for the creation of two-dimensional semantics, which some people have then extended into a complete semantic theory. No purely extensional semantics can be right.
Possible worlds semantics implies a constitutive connection between meanings and modal claims [Schroeter]
     Full Idea: In standard possible world semantics an expression's intension reflects the modal profile of an object, kind or property, which would establish an important constitutive connection between meanings and modal claims.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.3.1)
     A reaction: The central question becomes 'do you need to know a thing's modal profile in order to have a decent understanding of it?', but if you express it that way (my way), then what counts as 'decent' will be relative to all sorts of things.
In the possible worlds account all necessary truths are same (because they all map to the True) [Schroeter]
     Full Idea: A problem for a standard possible worlds analysis is that all necessary truths have precisely the same content (the function mapping every world to the True). Hesperus=Phosphorus has the same content as Hesperus=Hesperus-and-2+2=4.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 3.3)
     A reaction: If this is supposed to be a theory of meaning then it has gone very badly wrong indeed. Has modern semantics taken a wrong turning somewhere? Two-dimensionalism is meant to address some of these problems.
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Array worlds along the horizontal, and contexts (world,person,time) along the vertical [Schroeter]
     Full Idea: In a two-dimensional matrix we array possible circumstances of evaluation (worlds) along the horizontal axis, and possible contexts of utterance (world, person, time) along the vertical axis.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.1.2)
     A reaction: This is due to Stalnaker 1978, and is clearest in operation when applied to an indexical such as 'I' in 'I am President'. 'I' is a rigid designator, but depends on context. The grid is filled in with T or F for each utterance in each world.
If we introduce 'actually' into modal talk, we need possible worlds twice to express this [Schroeter]
     Full Idea: At first glance necessity and possibility can be fully expressed by quantifying over all possible worlds, but this cannot capture 'Possibly everything actually red is also shiny'. This needs a double-indexed framework, with worlds playing two roles.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 1.2.1)
     A reaction: She points out that this also applies to tense logic, for the notion of 'now'. The point is that we not only need a set of possible worlds, but we also need a procedure (the 'Actuality' operator A or @) for picking out one of the worlds as special.
Do we know apriori how we refer to names and natural kinds, but their modal profiles only a posteriori? [Schroeter]
     Full Idea: Perhaps our best way of understanding names and natural kind terms is that we have apriori access to currently associated reference-fixing criterion, but only a posteriori access to the associated modal profile.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.1)
     A reaction: This is the 'generalized' view of 2D semantics (covering everything, not just modals and indexicals). I know apriori what something is, but only study will reveal its possibilities. The actual world is easy to talk about, but possible worlds are harder.
2D fans defend it for conceptual analysis, for meaning, and for internalist reference [Schroeter]
     Full Idea: Supporters of generalized two-dimensional semantics agree to defend apriori conceptual analysis in metaphysics, and that 2D captures meaning and not just belief-patterns, and it gives a broadly internalist approach to reference determination.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.3.4)
     A reaction: I'm not sure I can evaluate this, but I sort of like conceptual analysis, and the concept of meaning, and fairly internalist views of reference, so I am ripe for the picking.
2D semantics can't respond to contingent apriori claims, since there is no single proposition involved [Schroeter]
     Full Idea: It is objected to 2D semantics that it cannot explain Kripke's cases of contingent apriori truths, for there is no single proposition (construed as a set of possible worlds) that is both apriori and contingent.
     From: Laura Schroeter (Two-Dimensional Semantics [2010], 2.4.2)
     A reaction: This sounds like a rather large objection to the whole 2D plan, if it implies that when we say something there is no single proposition that is being expressed.
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Courage is knowing what should or shouldn't be feared [Plato]
     Full Idea: Knowledge of what is and is not to be feared is courage.
     From: Plato (Protagoras [c.380 BCE], 360d)
22. Metaethics / B. Value / 2. Values / j. Evil
No one willingly and knowingly embraces evil [Plato]
     Full Idea: No one willingly goes to meet evil, or what he thinks is evil.
     From: Plato (Protagoras [c.380 BCE], 358d)
     A reaction: Presumably people who actively choose satanism can override this deep-seated attitude. But their adherence to evil usually seems to be rather restrained. A danger of tautology with ideas like this.
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
Some things are good even though they are not beneficial to men [Plato]
     Full Idea: 'Do you mean by good those things that are beneficial to men?' 'Not only those. I call some things which are not beneficial good as well'.
     From: Plato (Protagoras [c.380 BCE], 333e)
     A reaction: Examples needed, but this would be bad news for utilitarians. Good health is not seen as beneficial if it is taken for granted. Not being deaf.
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Some pleasures are not good, and some pains are not evil [Plato]
     Full Idea: There are some pleasures which are not good, and some pains which are not evil.
     From: Plato (Protagoras [c.380 BCE], 351d)
     A reaction: Sadism and child birth. Though Bentham (I think) says that there is nothing good about the pain, since the event would obviously be better without it.
People tend only to disapprove of pleasure if it leads to pain, or prevents future pleasure [Plato]
     Full Idea: The only reason the common man disapproves of pleasures is if they lead to pain and deprive us of future pleasures.
     From: Plato (Protagoras [c.380 BCE], 354a)
     A reaction: Plato has a strong sense that some pleasures are just innately depraved and wicked. If those pleasure don't hurt anyone, it is very hard to pinpoint what is wrong with them.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
If we punish wrong-doers, it shows that we believe virtue can be taught [Plato]
     Full Idea: Athenians inflict punishment on wrong-doers, which shows that they too think it possible to impart and teach goodness.
     From: Plato (Protagoras [c.380 BCE], 324c)
Socrates did not believe that virtue could be taught [Plato]
     Full Idea: Socrates: I do not believe that virtue can be taught.
     From: Plato (Protagoras [c.380 BCE], 320b)
Socrates is contradicting himself in claiming virtue can't be taught, but that it is knowledge [Plato]
     Full Idea: Socrates is contradicting himself by saying virtue is not teachable, and yet trying to demonstrate that every virtue is knowledge.
     From: Plato (Protagoras [c.380 BCE], 361b)