100 ideas
| 8013 | In the Reformation, morality became unconditional but irrational, individually autonomous, and secular [MacIntyre] |
| Full Idea: Three concepts about morality emerge from the Reformation period: that moral rules are unconditional demands that lack rational justification; that moral agents are sovereign in choices; and that secular powers have their own norms and justifications. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.10) | |
| A reaction: I get the impression that a rather frank admission of the role of self-interest emerged at that time as well. It is only in the late seventeenth century that the possibility of a secular altruism begins to be investigated. But there's Shakespeare... |
| 8021 | The Levellers and the Diggers mark a turning point in the history of morality [MacIntyre] |
| Full Idea: The Levellers and the Diggers mark a turning point in the history of morality. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.11) | |
| A reaction: John Lilburne, the Leveller, 'Free-Born John', was the most important of them. They mainly fought for rights of religious conscience, but it quickly escalated into a demand for economic and social rights. It spread to France and the United States. |
| 8060 | In the 17th-18th centuries morality offered a cure for egoism, through altruism [MacIntyre] |
| Full Idea: It was in the seventeenth and eighteenth century that morality came generally to be understood as offering a solution to the problems posed by human egoism and that the content of morality came to be largely equated with altruism. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch.16) | |
| A reaction: It was the elevation of altruism that caused Nietzsche's rebellion. The sixteenth century certainly looks striking cynical to modern eyes. The development was an attempt to secularise Jesus. Altruism has a paradox: it needs victims. |
| 8053 | Twentieth century social life is re-enacting eighteenth century philosophy [MacIntyre] |
| Full Idea: Twentieth century social life turns out in key part to be the concrete and dramatic re-enactment of eighteenth-century philosophy. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 8) | |
| A reaction: This suggest a two hundred year lag between the philosophy and its impact on the culture. One might note the Victorian insistence on 'duty' (e.g. in George Eliot), alongside Mill's view that the Kantian account of it didn't work (Idea 3768). |
| 8047 | Philosophy has been marginalised by its failure in the Enlightenment to replace religion [MacIntyre] |
| Full Idea: The failure, in the Enlightenment, of philosophy to provide what religion could no longer furnish was an important cause of philosophy losing its central cultural role and becoming a marginal, narrowly academic subject. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 4) | |
| A reaction: A strange way of presenting the situation. Philosophy has never aspired to furnish beliefs for the masses. Plato offered them myths. The refutation of religion was difficult and complex. There is no returning from there to a new folk simplicity. |
| 16325 | Analysis rests on natural language, but its ideal is a framework which revises language [Halbach] |
| Full Idea: For me, although the enterprise of philosophical analysis is driven by natural language, its goal is not a linguistic analysis of English but rather an expressively strong framework that may at best be seen as a revision of English. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 12) | |
| A reaction: I agree, but the problem is that there are different ideals for the revision, which may be in conflict. Logicians, mathematicians, metaphysicians, scientists, moralists and aestheticians are queueing up to improve in their own way. |
| 8062 | Proof is a barren idea in philosophy, and the best philosophy never involves proof [MacIntyre] |
| Full Idea: Arguments in philosophy rarely take the form of proofs; and the most successful arguments on topics central to philosophy never do. (The ideal of proof is a relatively barren one in philosophy). | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch.18) | |
| A reaction: He seems proud of this, but he must settle for something which is less than proof, which has to be vindicated to the mathematicians and scientists. I agree, though. Plato is the model, and the best philosophy builds a broad persuasive picture. |
| 16292 | An explicit definition enables the elimination of what is defined [Halbach] |
| Full Idea: Explicit definitions allow for a complete elimination of the defined notion (at least in extensional contexts). | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 1) | |
| A reaction: If the context isn't extensional (concerning the things themselves) then we could define one description of it, but be unable to eliminate it under another description. Elimination is no the aim of an Aristotelian definition. Halbach refers to truth. |
| 16307 | Don't trust analogies; they are no more than a guideline [Halbach] |
| Full Idea: Arguments from analogy are to be distrusted: at best they can serve as heuristics. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 4) |
| 16330 | Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [Halbach] |
| Full Idea: Truth-value 'gluts' correspond to a so-called dialethic conception of truth; excluding gluts and admitting only 'gaps' leads to a conception of what is usually called 'partial' truth. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 15.2) | |
| A reaction: Talk of 'gaps' and 'gluts' seem to be the neatest way of categorising views of truth. I want a theory with no gaps or gluts. |
| 16339 | Truth axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach] |
| Full Idea: Two typed disquotation sentences, truth axioms of TB, suffice for proving that there at least two objects. Hence truth is not a logical notion if one expects logical notions to be ontologically neutral. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 21.2) |
| 16324 | Any definition of truth requires a metalanguage [Halbach] |
| Full Idea: It is plain that the distinction between object and metalanguage is required for the definability of truth. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 11) | |
| A reaction: Halbach's axiomatic approach has given up on definability, and therefore it can seek to abandon the metalanguage and examine 'type-free' theories. |
| 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. |
| 16293 | Traditional definitions of truth often make it more obscure, rather than less [Halbach] |
| Full Idea: A common complaint against traditional definitional theories of truth is that it is far from clear that the definiens is not more in need of clarification than the definiendum (that is, the notion of truth). | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 1) | |
| A reaction: He refers to concepts like 'correspondence', 'facts', 'coherence' or 'utility', which are said to be trickier to understand than 'true'. I suspect that philosophers like Halbach confuse 'clear' with 'precise'. Coherence is quite clear, but imprecise. |
| 16301 | If people have big doubts about truth, a definition might give it more credibility [Halbach] |
| Full Idea: If one were wondering whether truth should be considered a legitimate notion at all, a definition might be useful in dispersing doubts about its legitimacy. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 3) | |
| A reaction: Halbach is proposing to skip definitions, and try to give rules for using 'true' instead, but he doesn't rule out definitions. A definition of 'knowledge' or 'virtue' or 'democracy' might equally give those credibility. |
| 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. |
| 16297 | Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach] |
| Full Idea: In semantic theories (e.g.Tarski's or Kripke's), a definition evades Tarski's Theorem by restricting the possible instances in the schema T[φ]↔φ to sentences of a proper sublanguage of the language formulating the equivalences. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 1) | |
| A reaction: The schema says if it's true it's affirmable, and if it's affirmable it's true. The Liar Paradox is a key reason for imposing this restriction. |
| 16337 | Disquotational truth theories are short of deductive power [Halbach] |
| Full Idea: The problem of restricted deductive power has haunted disquotational theories of truth (…because they can't prove generalisations). | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 19.5) |
| 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) |
| 16322 | CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [Halbach] |
| Full Idea: Compositional Truth CT proves the consistency of Peano arithmetic, which is not provable in Peano arithmetic by Gödel's second incompleteness theorem. Hence the theory CT is not conservative over Peano arithmetic. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 8.6) |
| 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. |
| 16294 | Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [Halbach] |
| Full Idea: Choosing an axiomatic approach to truth might well be compatible with the view that truth is definable; the definability of truth is just not presupposed at the outset. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 1) | |
| A reaction: Is it possible that a successful axiomatisation is a successful definition? |
| 16326 | The main semantic theories of truth are Kripke's theory, and revisions semantics [Halbach] |
| Full Idea: Revision semantics is arguably the main competitor of Kripke's theory of truth among semantic truth theories. …In the former one may hope through revision to arrive at better and better models, ..sorting out unsuitable extensions of the truth predicate. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 14) | |
| A reaction: Halbach notes later that Kripke's theory (believe it or not) is considerably simpler than revision semantics. |
| 16311 | To axiomatise Tarski's truth definition, we need a binary predicate for his 'satisfaction' [Halbach] |
| Full Idea: If the clauses of Tarski's definition of truth are turned into axioms (as Davidson proposed) then a primitive binary predicate symbol for satisfaction is needed, as Tarski defined truth in terms of satisfaction. Standard language has a unary predicate. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 5.2) |
| 16318 | Compositional Truth CT has the truth of a sentence depending of the semantic values of its constituents [Halbach] |
| Full Idea: In the typed Compositional Truth theory CT, it is compositional because the truth of a sentence depends on the semantic values of the constituents of that sentence. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 8) | |
| A reaction: [axioms on p. 65 of Halbach] |
| 16299 | Gödel numbering means a theory of truth can use Peano Arithmetic as its base theory [Halbach] |
| Full Idea: Often syntactic objects are identified with their numerical codes. …Expressions of a countable formal language can be coded in the natural numbers. This allows a theory of truth to use Peano Arithmetic (with its results) as a base theory. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 2) | |
| A reaction: The numbering system is the famous device invented by Gödel for his great proof of incompleteness. This idea is a key to understanding modern analytic philosophy. It is the bridge which means philosophical theories can be treated mathematically. |
| 16340 | Truth axioms need a base theory, because that is where truth issues arise [Halbach] |
| Full Idea: Considering the truth axioms in the absence of a base theory is not very sensible because characteristically truth theoretic reasoning arises from the interplay of the truth axioms with the base theory. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 21.2) | |
| A reaction: The base theory usually seems to be either Peano arithmetic or set theory. We might say that introverted thought (e.g. in infants) has little use for truth; it is when you think about the world that truth becomes a worry. |
| 16305 | We know a complete axiomatisation of truth is not feasible [Halbach] |
| Full Idea: In the light of incompleteness phenomena, one should not expect a categorical axiomatisation of truth to be feasible, but this should not keep one from studying axiomatic theories of truth (or of arithmetic). | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 3) | |
| A reaction: This, of course, is because of Gödel's famous results. It is important to be aware in this field that there cannot be a dream of a final theory, so we are just seeing what can be learned about truth. |
| 16313 | A theory is 'conservative' if it adds no new theorems to its base theory [Halbach, by PG] |
| Full Idea: A truth theory is 'conservative' if the addition of the truth predicate does not add any new theorems to the base theory. | |
| From: report of Volker Halbach (Axiomatic Theories of Truth [2011], 6 Df 6.6) by PG - Db (ideas) | |
| A reaction: Halbach presents the definition more formally, and this is my attempt at getting it into plain English. Halbach uses Peano Arithmetic as his base theory, but set theory is also sometimes used. |
| 16315 | The Tarski Biconditional theory TB is Peano Arithmetic, plus truth, plus all Tarski bi-conditionals [Halbach] |
| Full Idea: The truth theory TB (Tarski Biconditional) is all the axioms of Peano Arithmetic, including all instances of the induction schema with the truth predicate, plus all the sentences of the form T[φ] ↔ φ. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 7) | |
| A reaction: The biconditional formula is the famous 'snow is white' iff snow is white. The truth of the named sentence is equivalent to asserting the sentence. This is a typed theory of truth, and it is conservative over PA. |
| 16314 | Theories of truth are 'typed' (truth can't apply to sentences containing 'true'), or 'type-free' [Halbach] |
| Full Idea: I sort theories of truth into the large families of 'typed' and 'type-free'. Roughly, typed theories prohibit a truth predicate's application to sentences with occurrences of that predicate, and one cannot prove the truth of sentences containing 'true'. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], II Intro) | |
| A reaction: The problem sentence the typed theories are terrified of is the Liar Sentence. Typing produces a hierarchy of languages, referring down to the languages below them. |
| 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] |
| 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. |
| 16327 | Friedman-Sheard is type-free Compositional Truth, with two inference rules for truth [Halbach] |
| Full Idea: The Friedman-Sheard truth system FS is based on compositional theory CT. The axioms of FS are obtained by relaxing the type restriction on the CT-axioms, and adding rules inferring sentences from their truth, and vice versa. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 15) | |
| A reaction: The rules are called NEC and CONEC by Halbach. The system FSN is FS without the two rules. |
| 16329 | Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach] |
| Full Idea: The Kripke-Feferman theory KF is an axiomatisation of the fixed points of an operator, that is, of a Kripkean fixed-point semantics with the Strong Kleene evaluation schema with truth-value gluts. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 15.1) |
| 16332 | The KF theory is useful, but it is not a theory containing its own truth predicate [Halbach] |
| Full Idea: KF is useful for explicating Peano arithmetic, but it certainly does not come to close to being a theory that contains its own truth predicate. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 16) | |
| A reaction: Since it is a type-free theory, its main philosophical aspiration was to contain its own truth predicate, so that is bad news (for philosophers). |
| 16331 | The KF is much stronger deductively than FS, which relies on classical truth [Halbach] |
| Full Idea: The Kripke-Feferman theory is relatively deductively very strong. In particular, it is much stronger than its competitor FS, which is based on a completely classical notion of truth. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 15.3) |
| 16319 | Compositional Truth CT proves generalisations, so is preferred in discussions of deflationism [Halbach] |
| Full Idea: Compositional Truth CT and its variants has desirable generalisations among its logical consequences, so they seem to have ousted purely disquotational theories such as TB in the discussion on deflationism. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 8) |
| 16320 | Some say deflationism is axioms which are conservative over the base theory [Halbach] |
| Full Idea: Some authors have tried to understand the deflationist claim that truth is not a substantial notion as the claim that a satisfactory axiomatisation of truth should be conservative over the base theory. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 8) |
| 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'. |
| 16338 | Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach] |
| Full Idea: There are two doctrines at the core of deflationism. The first says truth is a device of disquotation used to express generalisations, and the second says truth is a thin notion that contributes nothing to our knowledge of the world | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 21) |
| 16317 | The main problem for deflationists is they can express generalisations, but not prove them [Halbach] |
| Full Idea: The main criticism that deflationist theories based on the disquotation sentences or similar axioms have to meet was raised by Tarski: the disquotation sentences do not allow one to prove generalisations. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 7) |
| 16316 | Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach] |
| Full Idea: Deflationists do not hold that truth is completely dispensable. They claim that truth serves the purpose of expressing infinite conjunctions or generalisations. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 7) | |
| A reaction: It is also of obvious value as a shorthand in ordinary conversation, but rigorous accounts can paraphrase that out. 'What he said is true'. 'Pick out the true sentences from p,q,r and s' seems to mean 'affirm some of them'. What does 'affirm' mean? |
| 16335 | In Strong Kleene logic a disjunction just needs one disjunct to be true [Halbach] |
| Full Idea: In Strong Kleene logic a disjunction of two sentences is true if at least one disjunct is true, even when the other disjunct lacks a truth value. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 18) | |
| A reaction: This sounds fine to me. 'Either I'm typing this or Homer had blue eyes' comes out true in any sensible system. |
| 16334 | In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value [Halbach] |
| Full Idea: In Weak Kleene Logic, with truth-value gaps, a sentence is neither true nor false if one of its components lacks a truth value. A line of the truth table shows a gap if there is a gap anywhere in the line, and the other lines are classical. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 18) | |
| A reaction: This will presumably apply even if the connective is 'or', so a disjunction won't be true, even if one disjunct is true, when the other disjunct is unknown. 'Either 2+2=4 or Lot's wife was left-handed' sounds true to me. Odd. |
| 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) |
| 16309 | Every attempt at formal rigour uses some set theory [Halbach] |
| Full Idea: Almost any subject with any formal rigour employs some set theory. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 4.1) | |
| A reaction: This is partly because mathematics is often seen as founded in set theory, and formal rigour tends to be mathematical in character. |
| 16333 | The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach] |
| Full Idea: The costs of giving up classical logic are easily underestimated, …the price being paid in terms of mathematical reasoning. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 16.2) | |
| A reaction: No one cares much about such costs, until you say they are 'mathematical'. Presumably this is a message to Graham Priest and his pals. |
| 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. |
| 16310 | A theory is some formulae and all of their consequences [Halbach] |
| Full Idea: A theory is a set of formulae closed under first-order logical consequence. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 5.1) |
| 16342 | You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach] |
| Full Idea: One cannot just accept that all the theorems of Peano arithmetic are true when one accepts Peano arithmetic as the notion of truth is not available in the language of arithmetic. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1) | |
| A reaction: This is given as the reason why Kreisel and Levy (1968) introduced 'reflection principles', which allow you to assert whatever has been proved (with no mention of truth). (I think. The waters are closing over my head). |
| 16341 | Normally we only endorse a theory if we believe it to be sound [Halbach] |
| Full Idea: If one endorses a theory, so one might argue, one should also take it to be sound. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1) |
| 16344 | Soundness must involve truth; the soundness of PA certainly needs it [Halbach] |
| Full Idea: Soundness seems to be a notion essentially involving truth. At least I do not know how to fully express the soundness of Peano arithmetic without invoking a truth predicate. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1) | |
| A reaction: I suppose you could use some alternative locution such as 'assertible' or 'cuddly'. Intuitionists seem a bit vague about the truth end of things. |
| 6007 | If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R] |
| Full Idea: The 'undetected' or 'veiled' paradox of Eubulides says: if you know your father, and don't know the veiled person before you, but that person is your father, you both know and don't know the same person. | |
| From: report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School | |
| A reaction: Essentially an uninteresting equivocation on two senses of "know", but this paradox comes into its own when we try to give an account of how linguistic reference works. Frege's distinction of sense and reference tried to sort it out (Idea 4976). |
| 16347 | Many new paradoxes may await us when we study interactions between frameworks [Halbach] |
| Full Idea: Paradoxes that arise from interaction of predicates such as truth, necessity, knowledge, future and past truths have receive little attention. There may be many unknown paradoxes lurking when we develop frameworks with these intensional notions. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 24.2) | |
| A reaction: Nice. This is a wonderful pointer to new research in the analytic tradition, in which formal problems will gradually iron out our metaphysical framework. |
| 6006 | If you say truly that you are lying, you are lying [Eubulides, by Dancy,R] |
| Full Idea: The liar paradox of Eubulides says 'if you state that you are lying, and state the truth, then you are lying'. | |
| From: report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School | |
| A reaction: (also Cic. Acad. 2.95) Don't say it, then. These kind of paradoxes of self-reference eventually lead to Russell's 'barber' paradox and his Theory of Types. |
| 16336 | The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach] |
| Full Idea: An essential feature of the liar paradox is the application of the truth predicate to a sentence with a negated occurrence of the truth predicate, though the negation can be avoided by using the conditional. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 19.3) |
| 6008 | Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R] |
| Full Idea: The 'sorites' paradox of Eubulides says: if you take one grain of sand from a heap (soros), what is left is still a heap; so no matter how many grains of sand you take one by one, the result is always a heap. | |
| From: report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School | |
| A reaction: (also Cic. Acad. 2.49) This is a very nice paradox, which goes to the heart of our bewilderment when we try to fully understand reality. It homes in on problems of identity, as best exemplified in the Ship of Theseus (Ideas 1212 + 1213). |
| 16321 | The compactness theorem can prove nonstandard models of PA [Halbach] |
| Full Idea: Nonstandard models of Peano arithmetic are models of PA that are not isomorphic to the standard model. Their existence can be established with the compactness theorem or the adequacy theorem of first-order logic. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 8.3) |
| 16343 | The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach] |
| Full Idea: The global reflection principle ∀x(Sent(x) ∧ Bew[PA](x) → Tx) …seems to be the full statement of the soundness claim for Peano arithmetic, as it expresses that all theorems of Peano arithmetic are true. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 22.1) | |
| A reaction: That is, an extra principle must be introduced to express the soundness. PA is, of course, not complete. |
| 16312 | To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach] |
| Full Idea: For the reduction of Peano Arithmetic to ZF set theory, usually the set of finite von Neumann ordinals is used to represent the non-negative integers. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 6) | |
| A reaction: Halbach makes it clear that this is just one mode of reduction, relative interpretability. |
| 16308 | Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach] |
| Full Idea: While set theory was liberated much earlier from type restrictions, interest in type-free theories of truth only developed more recently. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 4) | |
| A reaction: Tarski's theory of truth involves types (or hierarchies). |
| 16345 | That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach] |
| Full Idea: The observation that Peano arithmetic is relatively interpretable in ZF set theory is taken by many philosophers to be a reduction of numbers to sets. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 23) | |
| A reaction: Nice! Being able to express something in a different language is not the same as a reduction. Back to the drawing board. What do you really mean by a reduction? If we model something, we don't 'reduce' it to the model. |
| 16346 | Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach] |
| Full Idea: Should necessity be treated as a predicate rather than (as in modal logic) as a sentential operator? It is odd to assign different status to necessity and truth, hampering their interaction. That all necessities are true can't be expressed by an operator. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 24.2) | |
| A reaction: [compressed] Halbach and Horsten consistently treat truth as a predicate, but maybe truth is an operator. Making necessity a predicate and not an operator would be a huge upheaval in the world of modal logic. Nice move! |
| 8052 | To find empiricism and science in the same culture is surprising, as they are really incompatible [MacIntyre] |
| Full Idea: There is something extraordinary in the coexistence of empiricism and natural science in the same culture, for they represent radically different and incompatible ways of approaching the world. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 7) | |
| A reaction: I would say that science is commitment to an ontology, and empiricism is a commitment to epistemology. It is a very nice point, given the usual assumption that science is an empirical activity. See Idea 7621. Strict empiricism distorts science. |
| 10356 | Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch] |
| Full Idea: MacIntyre formulates relativism in terms of rationality rather than truth or objectivity. Things are rational relative to some particular tradition, but not rational as such. | |
| From: report of Alasdair MacIntyre (Whose Justice? Which Rationality? [1988], p.352) by Martin Kusch - Knowledge by Agreement Ch.19 | |
| A reaction: Personally I had always taken it to be about truth, and I expect any account of rationality to be founded on a notion of truth. There can clearly be cultural traditions of evidence, and possibly even of logic (though I doubt it). |
| 8057 | Unpredictability doesn't entail inexplicability, and predictability doesn't entail explicability [MacIntyre] |
| Full Idea: Just as unpredictability does not entail inexplicability, so predictability does not entail explicability. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 8) | |
| A reaction: The second half is not quite as obvious as the first. The location of lightning strikes is an example of the first. He gives examples of the second, but they all seem to be very complex cases which might be explained, if only we knew enough. |
| 8054 | Social sciences discover no law-like generalisations, and tend to ignore counterexamples [MacIntyre] |
| Full Idea: Social sciences have discovered no law-like generalisations whatsoever, ...and for the most part they adopt a very tolerant attitude to counter-examples. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 8) | |
| A reaction: I suspect that this is as much to do with a narrow and rigid view of what 'science' is supposed to be, as a failure of the social sciences. Have such sciences explained anything? I suspect that they have explained a lot, often after the facts. |
| 8006 | When Aristotle speaks of soul he means something like personality [MacIntyre] |
| Full Idea: When Aristotle speaks of the soul we could very often retain his meaning by speaking of personality. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 7) | |
| A reaction: MacIntyre contrasts this strongly with Plato's dualist view. Famously Aristotle thinks the soul is the 'form' of the body, but this implies that he also includes the higher-level functions of the body. Soul is character? |
| 21050 | I can only make decisions if I see myself as part of a story [MacIntyre] |
| Full Idea: I can only answer the question 'What am I to do?' if I can answer the prior question 'Of what story or stories do I find myself a part?'. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], p.201), quoted by Michael J. Sandel - Justice: What's the right thing to do? 09 | |
| A reaction: MacIntyre is a great champion of the narrative view of the Self. Does this mean that if you had total amnesia, but retained other faculties, you could make no decisions? Can you start a new story whenever you like? |
| 8056 | AI can't predict innovation, or consequences, or external relations, or external events [MacIntyre] |
| Full Idea: AI machines have four types of unpredictability: they can't predict radical innovation or future maths proofs; they couldn't predict the outcome of their own decisions; their relations with other computers would be a game-theory tangle; and power failure. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 8) | |
| A reaction: This isn't an assertion that they lack 'free will', just a very accurate observation of how the super new machines would face exactly the same problems that we ourselves face. |
| 16298 | We need propositions to ascribe the same beliefs to people with different languages [Halbach] |
| Full Idea: Being able to ascribe the same proposition as a belief to persons who do not have a common language seems to be one of the main reasons to employ propositions. | |
| From: Volker Halbach (Axiomatic Theories of Truth [2011], 2) | |
| A reaction: Propositions concern beliefs, as well as sentence meanings. I would want to say that a dog and I could believe the same thing, and that is a non-linguistic reason to believe in propositions. Maybe 'translation' cuts out the proposition middleman? |
| 8059 | The good life for man is the life spent seeking the good life for man [MacIntyre] |
| Full Idea: The good life for man is the life spent in seeking for the good life for man. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch.15) | |
| A reaction: This contains a self-evident paradox - that success would be failure. The proposal suits philosophers more than it would suit the folk. Less seeking and more getting on with it seems good, if the activity is a 'flourishing' one. |
| 8034 | We still have the appearance and language of morality, but we no longer understand it [MacIntyre] |
| Full Idea: We possess simulacra of morality, we continue to use many of the key expressions. But we have - very largely, if not entirely - lost our comprehension, both theoretical and practical, of morality. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 1) | |
| A reaction: MacIntyre's famous (or notorious) assault on modern ethics. We obviously can't prove him wrong by spouting moral talk. Are we actually more wicked than our ancestors? There is, I think, a relativism problem in the 20th centurty, but that is different. |
| 8036 | Unlike expressions of personal preference, evaluative expressions do not depend on context [MacIntyre] |
| Full Idea: There are good reasons for distinguishing between expressions of personal preference and evaluative expressions, as the first depend on who utters them to whom, while the second are not dependent for reason-giving force on the context of utterance. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 2) | |
| A reaction: The sceptics will simply say that in the second type of expression the speaker tries to adopt a tone of impersonal authority, but it is merely an unjustified attempt to elevate personal preferences. "Blue just IS the best colour". |
| 8049 | Moral judgements now are anachronisms from a theistic age [MacIntyre] |
| Full Idea: Moral judgements are linguistic survivals from the practices of classical theism which have lost the context provided by these practices. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 5) | |
| A reaction: He is sort of right. Richard Taylor is less dramatic and more plausible on this (Ideas 5065, 5066, 5077). Big claims about 'duty' have become rather hollow, but the rights and wrongs of (e.g.) mistreating children don't seem to need theism. |
| 8045 | The failure of Enlightenment attempts to justify morality will explain our own culture [MacIntyre] |
| Full Idea: A central thesis of this book is that the breakdown of the project (of 1630 to 1850) of an independent rational justification of morality provided the historical background against which the predicaments of our own culture can become intelligible. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 4) | |
| A reaction: Possibly the most important question of our times is whether the Enlightenment failed. MacIntyre's claim is followed by an appeal for a return to Aristotelian/Thomist virtues. Continentals seem to have responded by sliding into relativism. |
| 8051 | Mention of 'intuition' in morality means something has gone wrong with the argument [MacIntyre] |
| Full Idea: The introduction of the word 'intuition' by a moral philosopher is always a signal that something has gone badly wrong with an argument. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 6) | |
| A reaction: For the alternative view, see Kripke (Idea 4948). If Kripke is right about logic, I don't see why the same view should have some force in morality. At the bottom of all morality is an intuition that life is worth the struggle. How do you prove that? |
| 8048 | When 'man' is thought of individually, apart from all roles, it ceases to be a functional concept [MacIntyre] |
| Full Idea: It is only when man is thought of as an individual prior to and apart from all roles that 'man' ceases to be a functional concept. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 5) | |
| A reaction: This is the one key idea at the heart of the revival of virtue ethics in modern times. It pinpoints what may be the single biggest disaster in intellectual history - the isolation of the individual. Yet it led to freedom, rights, and lots of good things. |
| 8035 | In trying to explain the type of approval involved, emotivists are either silent, or viciously circular [MacIntyre] |
| Full Idea: In reply to the question of what kinds of approval are expressed by the feelings or attitudes of moral judgments, every version of emotivism either remains silent, or becomes viciously circular by identifying it as moral approval. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 2) | |
| A reaction: There seems to be an underlying assumption that moral judgements are sharply separated from other judgements, of which I am not convinced. I approve of creating a beautiful mural for an old folks home free of charge, but it must be beautiful. |
| 8037 | The expression of feeling in a sentence is in its use, not in its meaning [MacIntyre] |
| Full Idea: Expression of feeling is not a function of the meaning of sentences, but of their use, as when a teacher shouts at a pupil "7 x 7 = 49!", where the expression of feeling or attitude has nothing whatsoever to do with its meaning. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 2) | |
| A reaction: This point is what underlies the Frege-Geach problem for emotivism, and is a very telling point. Apart from in metaethics, no one has ever put forward a theory of meaning that says it is just emotion. ...Unless it concerns speakers' intentions? |
| 8040 | Emotivism cannot explain the logical terms in moral discourse ('therefore', 'if..then') [MacIntyre] |
| Full Idea: Analytical moral philosophers resist emotivism because moral reasoning does occur, but there can be logical linkages between various moral judgements of a kind that emotivism could not allow for ('therefore' and 'if...then' express no moral feelings). | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 2) | |
| A reaction: This is the 'Frege-Geach Problem', nicely expressed, and is the key reason why emotivism seems unacceptable - it is a theory about language, but it just doesn't explain moral discourse sufficiently. |
| 8042 | Nowadays most people are emotivists, and it is embodied in our culture [MacIntyre] |
| Full Idea: To a large degree people now think, talk and act as if emotivism was true, no matter what their avowed theoretical standpoint may be. Emotivism has become embodied in our culture. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 2) | |
| A reaction: I suspect that it is moderately educated people who have swallowed emotivism, in the same way that they have swallowed relativism; it provides an excuse for neglectly the pursuit of beauty, goodness and truth, in favour of pleasure. |
| 8002 | Sophists don't distinguish a person outside one social order from someone outside all order [MacIntyre] |
| Full Idea: The sophist tradition failed to distinguish the difference between the concept of a man who stands outside and is able to question the conventions of some one given social order, and the concept of a man who stands outside social life as such. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 3) | |
| A reaction: A very nice distinction. Compare foreigners in Athens with Diogenes of Sinope, who renounced all cities. This is the germ of MacIntyre's view that morality is essentially dependent on some sort of social order. He is a reviver of virtue theory. |
| 8012 | The value/fact logical gulf is misleading, because social facts involve values [MacIntyre] |
| Full Idea: One reason why it is highly misleading to talk of a logical gulf between value and fact....is that we cannot characterize the social life of a tribe in their factual terms and escape their evaluations. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.10) | |
| A reaction: Personally I like the objection that facts about functions cannot avoid the value of good functions, but this is very good. It is much better than simply trying to find a specific counterexample, such as facts about promises. Values just are facts. |
| 8005 | 'Happiness' is a bad translation of 'eudaimonia', which includes both behaving and faring well [MacIntyre] |
| Full Idea: The name 'eudaimonia' is badly but inevitably translated by 'happiness', badly because it includes both the notion of behaving well and the notion of faring well. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 7) | |
| A reaction: This seems to imply that it does not include the notion of feeling good. Aristotle, however, concludes that pleasure is part of eudaimonia. I take our 'happiness' to be an internal notion, while the Greek word is an external notion. |
| 8058 | Maybe we can only understand rules if we first understand the virtues [MacIntyre] |
| Full Idea: Maybe we need to attend to the virtues first in the first place in order to understand the function and authority of rules. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 9) | |
| A reaction: I think MacIntyre's project is exactly right. Morality is about how humans should live their lives. A bunch of robots could implement a set of moral rules, or make contracts, or maximise one another's benefits. The idea of a human community comes first. |
| 7097 | Virtue is secondary to a role-figure, defined within a culture [MacIntyre, by Statman] |
| Full Idea: MacIntyre argues that the concept of virtue is secondary to that of a role-figure, where the latter is always defined by some particular tradition and culture. | |
| From: report of Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981]) by Daniel Statman - Introduction to Virtue Ethics §3 | |
| A reaction: MacIntyre is much more of a relativist than Aristotle. There must be some attempt to deal with the problem of a rotten culture which throws up a corrupt role-model. We need a concept of a good culture and of individual flourishing. |
| 8043 | Characters are the masks worn by moral philosophies [MacIntyre] |
| Full Idea: Characters are the masks worn by moral philosophies. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 3) | |
| A reaction: This may be presenting character in an excessively moral way. Being lively, for example, is a very distinctive trait of character, but hardly moral. This tells us why philosophers are interested in character, but not why other people are. |
| 8061 | If morality just is emotion, there are no external criteria for judging emotions [MacIntyre] |
| Full Idea: If there is nothing to judgements of virtue and vice except the expression of feelings of approval and disapproval, there can be no criteria external to those feelings by appeal to which we may pass judgement upon them. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch.16) | |
| A reaction: The idea that there can be right and wrong feelings may be the key idea in virtue theory. See Idea 5217. A good person would be ashamed to have a bad feeling. Some emotional responses are intrinsically wicked, apart from actions. |
| 8001 | 'Dikaiosune' is justice, but also fairness and personal integrity [MacIntyre] |
| Full Idea: The Greek 'dikaiosune' is inadequately translated as 'justice', but also as any other word; it combines the notion of fairness in externals with that of personal integrity in a way that no English word does. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 1) | |
| A reaction: 'Dikaiosune' is said to be the main topic of Plato's 'Republic'. Plato seems to have meant it to cover whatever makes a good character. Justice in behaviour presumably flows from internal justice of character (which is, roughly, inner harmony). |
| 8023 | My duties depend on my identity, which depends on my social relations [MacIntyre] |
| Full Idea: I cannot answer the question 'What ought I to do?' until I have answered the question 'Who am I?', and any answer to this question will specify my place in a nexus of social relationships. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.13) | |
| A reaction: This is the beginning of the modern critique of deontological ethics coming from revived virtue theory. As it stands, MacIntyre's idea sounds contractual, but I think he intends it in a more organic way. I am a fan. |
| 8038 | Since Moore thinks the right action produces the most good, he is a utilitarian [MacIntyre] |
| Full Idea: Moore takes it that to call an action right is simply to say that of the available alternative actions it is the one which does or did as a matter of fact produce the most good. Moore is thus a utilitarian. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 2) | |
| A reaction: Far be it from me to disagree with MacIntyre on this, but I would have thought that this made him a consequentialist, rather than a utilitarian. Moore doesn't remotely think that pure pleasure or happiness is the good. He's closer to Rashdall (Idea 6673). |
| 8022 | I am naturally free if I am not tied to anyone by a contract [MacIntyre] |
| Full Idea: The essence of the claim to natural rights is that no one has a right against me unless he can cite some contract, my consent to it, and his performance of his obligations under it. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.11) | |
| A reaction: This has become the foundation of western democracy, and the rebellious teenager's charter. Children have not consented to a contract with their parents. Close and loving relationships cease to be contractual. |
| 8050 | There are no natural or human rights, and belief in them is nonsense [MacIntyre] |
| Full Idea: There are no natural or human rights, and belief in them is one with belief in witches and in unicorns. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 6) | |
| A reaction: His point is that the notion of 'rights' only arises out of a community. However, while you might criticise an individual for absurdly asserting all sorts of dubious rights, no one could criticise them if they asserted the right to defend their own life. |
| 23080 | Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre] |
| Full Idea: Contemporary debates within modern political systems are almost exclusively between conservative liberals, liberal liberals, and radical liberals. There is little place for the criticism of the system itself. | |
| From: Alasdair MacIntyre (Whose Justice? Which Rationality? [1988]), quoted by John Kekes - Against Liberalism 01 | |
| A reaction: [No page number given] Kekes seems to be more authoritarian, and MacIntyre is a communitarian (which can be rather authoritarian). I'm dubious about both. |
| 8031 | Fans of natural rights or laws can't agree on what the actual rights or laws are [MacIntyre] |
| Full Idea: It is notorious that adherents of theories about natural rights or natural laws offer lists of rights or laws which differ in substance from each other. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch.17) | |
| A reaction: There seems to have been a consensus early on that self-defence was a natural right, but divergence presumably occurs when you get bolder and more complex. There is a lot of divergence over which is Shakespeare's best play. |
| 8055 | If God is omniscient, he confronts no as yet unmade decisions, so decisions are impossible [MacIntyre] |
| Full Idea: Omniscience excludes the making of decisions. If God knows everything that will occur, he confronts no as yet unmade decisions. | |
| From: Alasdair MacIntyre (After Virtue: a Study in Moral Theory [1981], Ch. 8) | |
| A reaction: [He cites Aquinas on this] I find it very difficult to see how anyone could read the Bible (see Idea 8008) while keeping this point continually in mind, without seeing the whole book as a piece of blatant anthropomorphism. |
| 8008 | The Bible is a story about God in which humans are incidental characters [MacIntyre] |
| Full Idea: The Bible is a story about God in which human beings appear as incidental characters. | |
| From: Alasdair MacIntyre (A Short History of Ethics [1967], Ch. 9) | |
| A reaction: Very illuminating. He creates man, is betrayed by man, drowns him and starts again, sends a redeemer who gets murdered, and finally enlightens a small band who continue the uphill struggle to promote God's way. What next? |