20 ideas
| 15647 | Truth definitions don't produce a good theory, because they go beyond your current language [Halbach] |
| Full Idea: It is far from clear that a definition of truth can lead to a philosophically satisfactory theory of truth. Tarski's theorem on the undefinability of the truth predicate needs resources beyond those of the language for which it is being defined. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: The idea is that you need a 'metalanguage' for the definition. If I say 'p' is a true sentence in language 'L', I am not making that observation from within language L. The dream is a theory confined to the object language. |
| 15649 | In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach] |
| Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources. |
| 15655 | Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach] |
| Full Idea: If truth is not explanatory, truth axioms should not allow proof of new theorems not involving the truth predicate. It is hence said that axiomatic truth should be 'conservative' - not implying further sentences beyond what the axioms can prove. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3) | |
| A reaction: [compressed] |
| 15654 | If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach] |
| Full Idea: If truth can be explicitly defined, it can be eliminated, whereas an axiomatized notion of truth may bring all kinds of commitments. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3) | |
| A reaction: The general principle that anything which can be defined can be eliminated (in an abstract theory, presumably, not in nature!) raises interesting questions about how many true theories there are which are all equivalent to one another. |
| 15650 | Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach] |
| Full Idea: Axiomatic theories of truth can be presented within very weak logical frameworks which require very few resources, and avoid the need for a strong metalanguage and metatheory. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) |
| 15648 | Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach] |
| Full Idea: The axiomatic approach does not presuppose that truth can be defined. Instead, a formal language is expanded by a new primitive predicate of truth, and axioms for that predicate are then laid down. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: Idea 15647 explains why Halbach thinks the definition route is no good. |
| 15656 | Deflationists say truth merely serves to express infinite conjunctions [Halbach] |
| Full Idea: According to many deflationists, truth serves merely the purpose of expressing infinite conjunctions. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3) | |
| A reaction: That is, it asserts sentences that are too numerous to express individually. It also seems, on a deflationist view, to serve for anaphoric reference to sentences, such as 'what she just said is true'. |
| 15657 | To prove the consistency of set theory, we must go beyond set theory [Halbach] |
| Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1) |
| 15652 | We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach] |
| Full Idea: The reduction of 2nd-order theories (of properties or sets) to axiomatic theories of truth may be conceived as a form of reductive nominalism, replacing existence assumptions (for comprehension axioms) by ontologically innocent truth assumptions. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1) | |
| A reaction: I like this very much, as weeding properties out of logic (without weeding them out of the world). So-called properties in logic are too abundant, so there is a misfit with their role in science. |
| 15651 | Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach] |
| Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1) | |
| A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates. |
| 23262 | Experience, sympathy and history are sensible grounds for laying claim to rights [Grayling] |
| Full Idea: Personal experience, social sympathies, and history together licence laying claim to rights …which we see to make good mutual as well as individual sense. | |
| From: A.C. Grayling (The Good State [2020], 6) | |
| A reaction: There are no such thing as natural rights, but there are clearly natural grounds on which it is very reasonable to base a claim for legal rights. If positive rights are just arbitrary, or expressions of power struggles, that is crazy. |
| 23263 | Politics is driven by power cliques [Grayling] |
| Full Idea: What drives political history is power cliques. | |
| From: A.C. Grayling (The Good State [2020], Conc) | |
| A reaction: A simple ideas which strikes me as accurate. Alternative views are that power is universally distributed (Foucault), or that power resides in a social class (Marx). Grayling's idea strikes me as more accurate. Each class has its cliques. |
| 23255 | It is essential for democracy that voting is free and well informed [Grayling] |
| Full Idea: A necessary condition for democracy to be realised is that the act of voting should be free and informed. | |
| From: A.C. Grayling (The Good State [2020], p.25) | |
| A reaction: The requirement that voters should be well informed has become an increasing modern problem, because the media are owned by the wealthy, and false rumours can spread at lightning speed. |
| 23254 | Democracies should require a supermajority for major questions [Grayling] |
| Full Idea: A threshhold or supermajority bar (such as 60%) is the appropriate way to deal with highly consequential questions. | |
| From: A.C. Grayling (The Good State [2020], p.23) | |
| A reaction: This seems to be a very conservative view, because rejection of a major change is a decision in favour of the status quo. Would this rule apply equally to abolishing capital punishment and to reintroducing it? |
| 23260 | A cap on time of service would restrict party control and career ambitions [Grayling] |
| Full Idea: A method by which legislators can be rendered independent of both party control and career ambitions is a cap on the amount of time they can serve as legislators. | |
| From: A.C. Grayling (The Good State [2020], 4) | |
| A reaction: The time of service must allow for learning the job, and then using the wisdom of experience. Presumably some career ambitions are needed if we are to have leaders. Not all party discipline is bad; great achievements are hard without it. |
| 23253 | Majority decisions are only acceptable if the minority interests are not vital [Grayling] |
| Full Idea: A majority being in favour of some course of action is the acceptable means of reaching decisions when no vital interest of a minority is endangered. | |
| From: A.C. Grayling (The Good State [2020], 1) | |
| A reaction: This is generally accepted in extreme cases, such as the majority voting to exterminate the minority. The difficulty is to decide what is a 'vital' interest, and to get the majority to care about it. |
| 23256 | Liberty and equality cannot be reconciled [Grayling] |
| Full Idea: Liberty and equality appear to be irresolvable contradictions. | |
| From: A.C. Grayling (The Good State [2020], 2) | |
| A reaction: [He particularly cites Isaiah Berlin for this view] Hm. The liberty of one is the liberty of all. I don't think I would feel that my liberty was unreasonably infringed if I lived in a society of imposed equality. The greedy hate equality the most. |
| 23258 | The very concept of democracy entails a need for justice [Grayling] |
| Full Idea: The concept of democracy - embodying the principles of participation and equal concern - entails that social justice is a mandatory aim. | |
| From: A.C. Grayling (The Good State [2020], 2) | |
| A reaction: The idea that democracy entails participation in any direct way is what the right wing reject. Sustained participation would presumably entail various sorts of justice. |
| 23259 | There should be separate legislative, executive and judicial institutions [Grayling] |
| Full Idea: The obvious solution is where the legislative, executive and judicial powers are exercised by different institutions, distinguished by function. The executive is answerable to the legislative, and the judicial is controlled by neither. | |
| From: A.C. Grayling (The Good State [2020], 3) | |
| A reaction: Separation by institution, rather than merely by separate individuals exercising the powers. I agree (with Popper etc) that institutions are the way to secure long-term success and justice. Grayling says the judiciary must not paralyse government. |
| 16712 | Atheism is an atrocious and intolerable crime in any country [Descartes] |
| Full Idea: Atheism is the most atrocious crime, and should be tolerated in no republic, however free. | |
| From: René Descartes (Letters to Voetius [1640], VIIIB:174), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2 |