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All the ideas for 'Thinking About Mathematics', 'The Epic of Gilgamesh' and 'Groundwork of the Metaphysic of Morals'

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86 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics goes beyond the empirical, so doesn't need examples [Kant]
     Full Idea: Metaphysics doesn't let itself be held back by anything empirical, and indeed goes right to Ideas, where examples themselves fail.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 412.36)
2. Reason / A. Nature of Reason / 4. Aims of Reason
The hallmark of rationality is setting itself an end [Kant]
     Full Idea: Rational nature separates itself out from all other things by the fact that it sets itself an end.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 437.82)
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
     Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
     Full Idea: It is surely wise to identify the positions in the natural numbers structure with their counterparts in the integer, rational, real and complex number structures.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: The point is that this might be denied, since 3, 3/1, 3.00.., and -3*i^2 are all arrived at by different methods of construction. Natural 3 has a predecessor, but real 3 doesn't. I agree, intuitively, with Shapiro. Russell (1919) disagreed.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
     Full Idea: A sequence a1,a2,... of rational numbers is 'Cauchy' if for each rational number ε>0 there is a natural number N such that for all natural numbers m, n, if m>N and n>N then -ε < am - an < ε.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.2 n4)
     A reaction: The sequence is 'Cauchy' if N exists.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
     Full Idea: There is a dedicated contingent who hold that the category of 'categories' is the proper foundation for mathematics.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.3 n7)
     A reaction: He cites Lawvere (1966) and McLarty (1993), the latter presenting the view as a form of structuralism. I would say that the concept of a category will need further explication, and probably reduce to either sets or relations or properties.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
     Full Idea: Zermelo said that for each number n, its successor is the singleton of n, so 3 is {{{null}}}, and 1 is not a member of 3. Von Neumann said each number n is the set of numbers less than n, so 3 is {null,{null},{null,{null}}}, and 1 is a member of 3.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: See Idea 645 - Zermelo could save Plato from the criticisms of Aristotle! These two accounts are cited by opponents of the set-theoretical account of numbers, because it seems impossible to arbitrate between them.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
     Full Idea: The structuralist vigorously rejects any sort of ontological independence among the natural numbers; the essence of a natural number is its relations to other natural numbers.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: This seems to place the emphasis on ordinals (what order?) rather than on cardinality (how many?). I am strongly inclined to think that this is the correct view, though you can't really have relations if there is nothing to relate.
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
     Full Idea: A 'system' is a collection of objects with certain relations among them; a 'pattern' or 'structure' is the abstract form of a system, highlighting the interrelationships and ignoring any features they do not affect how they relate to other objects.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: Note that 'ignoring' features is a psychological account of abstraction, which (thanks to Frege and Geach) is supposed to be taboo - but which I suspect is actually indispensable in any proper account of thought and concepts.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
     Full Idea: The thesis that principles of arithmetic are derivable from the laws of logic runs against a now common view that logic itself has no ontology. There are no particular logical objects. From this perspective logicism is a non-starter.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 5.1)
     A reaction: This criticism strikes me as utterly devastating. There are two routes to go: prove that logic does have an ontology of objects (what would they be?), or - better - deny that arithmetic contains any 'objects'. Or give up logicism.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
     Full Idea: Term Formalism is the view that mathematics is just about characters or symbols - the systems of numerals and other linguistic forms. ...This will cover integers and rational numbers, but what are real numbers supposed to be, if they lack names?
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.1)
     A reaction: Real numbers (such as pi and root-2) have infinite decimal expansions, so we can start naming those. We could also start giving names like 'Harry' to other reals, though it might take a while. OK, I give up.
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
     Full Idea: Game Formalism likens mathematics to chess, where the 'content' of mathematics is exhausted by the rules of operating with its language. ...This, however, leaves the problem of why the mathematical games are so useful to the sciences.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.2)
     A reaction: This thought pushes us towards structuralism. It could still be a game, but one we learned from observing nature, which plays its own games. Chess is, after all, modelled on warfare.
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
     Full Idea: The Deductivist version of formalism (sometimes called 'if-thenism') says that the practice of mathematics consists of determining logical consequences of otherwise uninterpreted axioms.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.2)
     A reaction: [Hilbert is the source] More plausible than Term or Game Formalism (qv). It still leaves the question of why it seems applicable to nature, and why those particular axioms might be chosen. In some sense, though, it is obviously right.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
     Full Idea: Critics commonly complain that the intuitionist restrictions cripple the mathematician. On the other hand, intuitionist mathematics allows for many potentially important distinctions not available in classical mathematics, and is often more subtle.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.1)
     A reaction: The main way in which it cripples is its restriction on talk of infinity ('Cantor's heaven'), which was resented by Hilbert. Since high-level infinities are interesting, it would be odd if we were not allowed to discuss them.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
     Full Idea: I classify conceptualists according to what they say about properties or concepts. If someone classified properties as existing independent of language I would classify her as a realist in ontology of mathematics. Or they may be idealists or nominalists.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 2.2.1)
     A reaction: In other words, Shapiro wants to eliminate 'conceptualist' as a useful label in philosophy of mathematics. He's probably right. All thought involves concepts, but that doesn't produce a conceptualist theory of, say, football.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
     Full Idea: A definition of a mathematical entity is 'impredicative' if it refers to a collection that contains the defined entity. The definition of 'least upper bound' is impredicative as it refers to upper bounds and characterizes a member of this set.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: The big question is whether mathematics can live with impredicative definitions, or whether they threaten to be viciously circular, and undermine the whole enterprise.
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
The categorical imperative is a practical synthetic a priori proposition [Kant]
     Full Idea: With the categorical imperative or law of morality we have a very serious difficulty, because it is a synthetic a priori practical proposition.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 420.50)
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.
16. Persons / F. Free Will / 1. Nature of Free Will
Free will is a kind of causality which works independently of other causes [Kant]
     Full Idea: Will is a kind of causality belonging to living beings so far as they are rational. Freedom would then be the property this causality has of being able to work independently of determination by alien causes.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 446.97)
16. Persons / F. Free Will / 2. Sources of Free Will
We shall never be able to comprehend how freedom is possible [Kant]
     Full Idea: We shall never be able to comprehend how freedom is possible.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 456.115)
16. Persons / F. Free Will / 4. For Free Will
We cannot conceive of reason as being externally controlled [Kant]
     Full Idea: We cannot possibly conceive of a reason as being consciously directed from outside in regard to its judgements.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 448.101)
16. Persons / F. Free Will / 5. Against Free Will
Kant made the political will into a pure self-determined "free" will [Kant, by Marx/Engels]
     Full Idea: Kant made the materially motivated determinations of the will of the French bourgeois into pure self-determinations of the "free will", of the will in and for itself.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by K Marx / F Engels - The German Ideology §II
     A reaction: This is the social determinism of Marx and Engels. Most commentators would say that Kant was taking the idea of "free will" from religion rather than politics, but presumably Marx would merely reply "same thing!"
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Kant thought emotions are too random and passive to be part of morality [Kant, by Williams,B]
     Full Idea: Kant thinks emotions can't contribute to moral worth because emotions are too capricious, they are too passive, and they are fortuitously distributed by nature.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Bernard Williams - Morality and the emotions p.226
     A reaction: [compressed] If, like Kant, you want morality to be concerned with rational principles, then you will want morality to be clear, stable and consistent - which emotions are not. I'm with Williams on this one.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Kant united religion and philosophy, by basing obedience to law on reason instead of faith [Taylor,R on Kant]
     Full Idea: Kant united the two ideas of virtue (as being and as doing) into the idea of a law that is founded not upon faith but upon reason. Thus in one stroke he united the seemingly irreconcilable philosophical and religious ethics, preserving the best of both.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Richard Taylor - Virtue Ethics: an Introduction Ch.8
     A reaction: An interesting analysis that sounds exactly right. Taylor's point is that Kant subjects himself to an authority, when the underpinnings of the authority are no longer there. There is a religious strand in the altruistic requirements of utilitarianism too.
The categorical imperative says nothing about what our activities and ends should be [MacIntyre on Kant]
     Full Idea: As to what activities we ought to engage in, what ends we should pursue, the categorical imperative seems to be silent.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Alasdair MacIntyre - A Short History of Ethics Ch.14
     A reaction: I think this is the fatal objection to Kant's view. He says, for example, that promise-breaking is inconsistent with a belief that promises are good, but who said promises are good? No ethical system can get started without values.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Kant thought human nature was pure hedonism, so virtue is only possible via the categorical imperative [Foot on Kant]
     Full Idea: Kant was a psychological hedonist about all actions except those done for the sake of the moral law, and this faulty theory of human nature prevented him from seeing that moral virtue might be compatible with the rejection of the categorical imperative.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Philippa Foot - Morality as system of hypothetical imperatives p.165
     A reaction: Nice. Kant wasn't unusual in his view, which seems standard in the Renaissance and Enlightenment. Aristotle understood that it is human nature, on the whole, to want to be a good citizen, since we are social beings.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
We must only value what others find acceptable [Kant, by Korsgaard]
     Full Idea: We are limited to pursuits which are acceptable from the standpoint of others; ..hence we can't value just anything, and there are things which we must value.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Christine M. Korsgaard - Intro to 'Creating the Kingdom of Ends' x
     A reaction: This at least moves towards greater objectivity, compared with Idea 9749, but it now seems deeply conservative. Our values become lowest common denominator. We need space for the Nietzschean moral hero, who creates new values.
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Kant focuses exclusively on human values, and neglects cultural and personal values [Kekes on Kant]
     Full Idea: Kant grossly inflated the importance of the human dimension of value in which moral considerations are indeed overriding. He unjustifiably denied the perfectly reasonable contributions of the cultural and personal dimensions to human well-being.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by John Kekes - The Human Condition 05.5
     A reaction: Excellent to see someone talking about the ultimate values that reside behind Kant's theory. Without such assumptions his theory is, frankly, ridiculous (as Mill explained).
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Our rational choices confer value, arising from the sense that we ourselves are important [Kant, by Korsgaard]
     Full Idea: According to Kant, we confer value on the objects of our rational choices. ..When we choose things because they are important to us we are taking ourselves to be important. Hence our humanity is a source of value.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Christine M. Korsgaard - Intro to 'Creating the Kingdom of Ends' ix
     A reaction: He's trying to filter to out our gormless choices with the word 'rational', but it is common sense that I may choose things despite thinking they have little value, like watching soap opera. A more objective account of value seems needed. See 9750!
Values are created by human choices, and are not some intrinsic quality, out there [Kant, by Berlin]
     Full Idea: Kant's fundamental sermon is that a value is made a value (or, at least, a duty) by human choice and not by some intrinsic quality in itself, out there. Values are what humans freely choose to live, fight and die for.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Isaiah Berlin - The Roots of Romanticism Ch.4
     A reaction: If this is right, then it would appear that the great Kant is the father of relativism, which wouldn't please him. However, his whole system rests on what is consistent and rational, and that seems to a value that is above our choices.
22. Metaethics / B. Value / 2. Values / f. Altruism
We may claim noble motives, but we cannot penetrate our secret impulses [Kant]
     Full Idea: We are pleased to flatter ourselves with the false claim to a nobler motive, but in fact we can never, even by the most strenuous self-examination, get to the bottom of our secret impulsions.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 407.26)
     A reaction: Sounds more like Nietzsche than Kant. If some impulsions are totally hidden from us, then they are presumably irrelevant to any rational or moral thinking. Look at the deeds.
Reverence is awareness of a value which demolishes my self-love [Kant]
     Full Idea: Reverence is awareness of a value which demolishes my self-love.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 401.16 n)
     A reaction: Presumably simple love of someone or something could achieve this, without the addition of reverence. I'm suspicious of this idea, because some dreadful people have commanded reverence.
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
A good will is not good because of what it achieves [Kant]
     Full Idea: A good will is not good because of what it effects or accomplishes.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 394.3)
     A reaction: This invites the obvious objection of the well-meaning fool, who causes misery despite meaning well. I firmly hold the view that what matters is what we do, not what we intend.
The good of an action is in the mind of the doer, not the consequences [Kant]
     Full Idea: What is essentially good in an action consists in the mental disposition, let the consequences be what they may.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 416.43)
     A reaction: Dreadful idea. I always claim that consequences are relevant in Kant, in formulating and choosing maxims for action, but this idea seems to refute my view. This is a slogan for the Spanish Inquisition.
23. Ethics / B. Contract Ethics / 2. Golden Rule
The 'golden rule' cannot be a universal law as it implies no duties [Kant]
     Full Idea: The 'golden rule' is merely derivative from our principle, but it cannot be a universal law since it isn't the ground of duties to oneself or others (since it implies a breakable contract).
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 430.68 n)
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Virtue lets a rational being make universal law, and share in the kingdom of ends [Kant]
     Full Idea: A morally good attitude of mind (or virtue) claims the intrinsic value of dignity, because it affords a rational being a share in the making of universal law, which therefore fits him to be a member in a possible kingdom of ends.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 435.79)
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Kant thinks virtue becomes passive, and hence morally unaccountable [Kant, by Annas]
     Full Idea: Kant thinks that if virtue becomes a stable disposition of the person, then it turns into a rigid mechanical habit, with respect to which the person is passive, and thus not fully morally accountable.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Julia Annas - The Morality of Happiness 2.1
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Generosity and pity are vices, because they falsely imply one person's superiority to another [Kant, by Berlin]
     Full Idea: For Kant, generosity is a vice, because it is a form of condescension and patronage, and pity is detestable, because it entails a superiority on the part of the pitier, which Kant stoutly denied.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Isaiah Berlin - The Roots of Romanticism
     A reaction: An interesting view, but being too proud to receive help from friends strikes me as a greater vice. How can friendship and community be built, if we do not rush to help one another when needed? The virtue is generosity without condescension.
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Kantian respect is for humanity and reason (not from love or sympathy or solidarity) [Kant, by Sandel]
     Full Idea: Kantian respect is unlike love. It's unlike sympathy. It's unlike solidarity or fellow feeling. ...Kantian respect is for humanity as such, for a rational capacity that resides, undifferentiated, in all of us.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Michael J. Sandel - Justice: What's the right thing to do? 05
     A reaction: Why is it 'undifferentiated'? If reason is the source of the respect, why don't greater powers of reason command greater respect? The nice thing is that the rejected versions involve bias, but Kant's version does not.
23. Ethics / D. Deontological Ethics / 1. Deontology
If 'maxims' are deeper underlying intentions, Kant can be read as a virtue theorist [Kant, by Statman]
     Full Idea: It has been argued that by 'maxim' Kant does not mean a specific intention for some discrete act, but the underlying intention by which the agent orchestrates his numerous more specific intentions, ...which leads to a virtue reading of Kant.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Daniel Statman - Introduction to Virtue Ethics §7
     A reaction: Kant admired virtue of character, and would want to fit it into the framework of his moral duties. Nevertheless a virtue would often seem to be beyond words, and principles seem to crumble in the face of complex cases.
We can ask how rational goodness is, but also why is rationality good [Putnam on Kant]
     Full Idea: We can reverse the terms of the comparison and ask not how rational is goodness, but why is it good to be rational?
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Hilary Putnam - Reason, Truth and History
     A reaction: [Putnam doesn't mention Kant]. This seems to me to be the biggest question for Kant. See Idea 1403. The main point of tbe romantic movement, I take it, is that purely rational living does not bring happiness or fulfilment.
Other causes can produce nice results, so morality must consist in the law, found only in rational beings [Kant]
     Full Idea: Agreeable results could be brought about by other causes;…therefore nothing but the idea of the law in itself, which is present only in a rational being, can constitute that pre-eminent good which we call moral.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 401.15)
It is basic that moral actions must be done from duty [Kant]
     Full Idea: The first proposition of morality is that to have moral worth an action must be done from duty.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], p.19), quoted by Brian Davies - Introduction to the Philosophy of Religion 9 'Religion'
     A reaction: [p.19 in Beck tr] In Aristotle's account these are 'controlled' actions [enkrateia], which are a step below virtuous actions, which combine reason and pleasure.
Kant follows Rousseau in defining freedom and morality in terms of each other [Taylor,C on Kant]
     Full Idea: Kant follows Rousseau in defining freedom and morality essentially in terms of each other.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Charles Taylor - Sources of the Self §20.2
     A reaction: An interesting comment on the modern tendency to overvalue freedom at the expense of the other civic virtues.
The only purely good thing is a good will [Kant]
     Full Idea: It is impossible to conceive anything at all in the world, or even out of it, which can be taken as good without qualification, except a good will.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 393.1)
     A reaction: This is precisely the thought of Epictetus, that the will is the source of goodness, because morality resides in choices (as opposed to character, or states of affairs).
The will is good if its universalised maxim is never in conflict with itself [Kant]
     Full Idea: The will is absolutely good if it cannot be evil - that is, if its maxim, when made into a universal law, can never be in conflict with itself.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 437.81)
23. Ethics / D. Deontological Ethics / 2. Duty
Telling the truth from duty is quite different from doing so to avoid inconvenience [Kant]
     Full Idea: To tell the truth for the sake of duty is something entirely different from doing so out of concern for inconvenient results.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 402.18)
There are no imperatives for a holy will, as the will is in harmony with moral law [Kant]
     Full Idea: For the divine or holy will there are no imperatives: 'I ought' is here out of place, because 'I will' is already of itself necessarily in harmony with the law.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 414.39)
A categorical imperative sees an action as necessary purely for its own sake [Kant]
     Full Idea: A categorical imperative would be one which represented an action as objectively necessary in itself apart from its relation to a further end.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 414.39)
Men are subject to laws which are both self-made and universal [Kant]
     Full Idea: Man is subject only to laws which are made by himself and yet are universal.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 432.73)
Dutiful actions are judged not by purpose, but by the maxim followed [Kant]
     Full Idea: An action done from duty has its moral worth, not in the purpose to be attained by it, but in the maxim according to which it is decided upon.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 399.13)
Kant was happy with 'good will', even if it had no result [Kant, by Marx/Engels]
     Full Idea: Kant was satisfied with "good will" alone, even if it remained entirely without result.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by K Marx / F Engels - The German Ideology §II
     A reaction: Kant is obviously a million miles away from Marxist pragmatism. And yet the members of the revolutionary class can only be identified and endorsed if they show a particular kind of will.
Kant has to attribute high moral worth to some deeply unattractive human lives [Kant, by Graham]
     Full Idea: An implausible and uncomfortable conclusion to be drawn from Kant's conception of morality is that we must attribute high moral worth to deeply unattractive human lives.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Gordon Graham - Eight Theories of Ethics Ch.6
     A reaction: Graham quotes a loathsome character from a Victorian novel, who coldly 'does her duty'. Indeed it might be that a robot could be programmed with the categorical imperative (though it would need a table of values first). Virtue theory is the answer.
Kantian duty seems to imply conformism with authority [MacIntyre on Kant]
     Full Idea: Anyone educated into the Kantian notion of duty will (so far) have been educated into easy conformism with authority.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Alasdair MacIntyre - A Short History of Ethics Ch.14
     A reaction: The Nazi Eichmann cited Kant at his trial for mass murder. I'm not sure the criticism is fair. There are surely times when the categorical imperative will go quite contrary to what the irrational authorities are implementing?
23. Ethics / D. Deontological Ethics / 3. Universalisability
Almost any precept can be consistently universalized [MacIntyre on Kant]
     Full Idea: With sufficient ingenuity, almost every precept can be consistently universalized.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Alasdair MacIntyre - A Short History of Ethics Ch.14
     A reaction: A concise statement of J.S.Mill's point (Idea 3762). The point is that Kant seems to allow burglary, as long as you don't complain when you are burgled. What sort of maxim would a suicidal mass murderer being willing to universalize?
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The intuition behind the categorical imperative is that one ought not to make an exception of oneself [Kant, by Finlayson]
     Full Idea: Kant's first formulation of the categorical imperative is supposed to capture the widespread intuition that one ought not to make an exception of oneself.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by James Gordon Finlayson - Habermas Ch.6:83
     A reaction: Interesting. I always take the plain English version to be 'what if everybody did that?' Suppose I were to forgive everyone, except myself?
Universalising a maxim needs to first stipulate the right description for the action [Anscombe on Kant]
     Full Idea: Kant's rule about universalisable maxims is useless without stipulations as to what shall count as a relevant description of an action with a view to constructing a maxim about it.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by G.E.M. Anscombe - Modern Moral Philosophy p.176
     A reaction: This is one of the key objections to Kant (along with his need for preliminary values). One man's 'terrorist' is another man's 'freedom fighter'. The charge adds up to Nietzsche's view, that Kant could never shake off his very conventional prejudices.
The categorical imperative will not suggest maxims suitable for testing [MacIntyre on Kant]
     Full Idea: The doctrine of the categorical imperative provides me with a test for rejecting proposed maxims; it does not tell me whence I am to derive the maxims which first provide the need for a test.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Alasdair MacIntyre - A Short History of Ethics Ch.14
     A reaction: Nice objection. 'What if we all stood on one leg for an hour (in this crisis)?' Question for Kant: what sort of maxims should we consider, when faced with a dilemma. Mill will obviously suggest happiness as a target. Good of society? My own good?
I can universalize a selfish maxim, if it is expressed in a way that only applies to me [MacIntyre on Kant]
     Full Idea: If we enquire whether I can consistently universalize the maxim 'I may break my promises only when.....', the gap can be filled by a description devised so that it will apply to my present circumstances, but to very few others.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Alasdair MacIntyre - A Short History of Ethics Ch.14
     A reaction: Another good objection to Kant. There is just a huge problem with how you state the maxim under discussion. One man's 'terrorist' is another man's 'freedom fighter'. 'Do everything possible to implement the will of God'.
Suicide, false promises, neglected talent, and lack of charity all involve contradictions of principle [Kant, by PG]
     Full Idea: Kant's four illustrations of the Categorical Imperative are: the contradiction of suicide, the contradiction of false promises, the contradiction of neglecting your talents, and the contradiction of neglecting charity.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 422.53) by PG - Db (ideas)
Always treat yourself and others as an end, and never simply as a means [Kant]
     Full Idea: Act in such a way that you always treat humanity whether in your own person or in the person of any other, never simply as a means, but always at the same time as an end.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], AA429 p.96), quoted by Terry Pinkard - German Philosophy 1760-1860 02
     A reaction: This sets up the Kingdom of Ends. Note that this does not prohibit using people as a means. It just asks you to respect waiters and shop assistants. It seems to say you should not treat 'your own person' merely as a means. Prostitution?
If lying were the universal law it would make promises impossible [Kant]
     Full Idea: I can indeed will to lie, but I can by no means will a universal law of lying; for by such a law there could properly be no promises at all.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 403.19)
Why couldn't all rational beings accept outrageously immoral rules of conduct? [Mill on Kant]
     Full Idea: Kant fails, almost grotesquely, to show that there would be any logical or physical impossibility in the adoption by all rational beings of the most outrageously immoral rules of conduct.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by John Stuart Mill - Utilitarianism Ch.1
Morality is the creation of the laws that enable a Kingdom of Ends [Kant]
     Full Idea: Morality consists in the relation of all action to the making of laws whereby alone a kingdom of ends is possible.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], AA434 p.102), quoted by Terry Pinkard - German Philosophy 1760-1860 02
     A reaction: Each individual gives themselves a law in the categorical imperative. Presumably the kingdom of ends is the convergence of these laws, because the categorical imperative has to be rational.
The categorical imperative smells of cruelty [Nietzsche on Kant]
     Full Idea: The categorical imperative smells of cruelty.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Friedrich Nietzsche - On the Genealogy of Morals II.§6
     A reaction: I presume this is because it is so pure and impersonal. Seems harsh. Nowadays we don't think pure just has to be cruel, but Nietzsche may have assumed it had to be.
Act according to a maxim you can will as a universal law [Kant]
     Full Idea: I ought never to act except in such a way that I can also will that my maxim should become a universal law.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 402.17)
Act as if your maxim were to become a universal law of nature [Kant]
     Full Idea: The universal imperative may also run as follows: 'Act as if the maxim of your action were to become through your will a universal law of nature'.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 421.52)
23. Ethics / D. Deontological Ethics / 5. Persons as Ends
The maxim of an action is chosen, and not externally imposed [Kant, by Bowie]
     Full Idea: Kant does not dictate what the maxim (the principle) of my action should be, and this is the crux. The individual has to decide the basis for their actions, rather than have it imposed on them, which differentiates us from the world of nature.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Andrew Bowie - German Philosophy: a very short introduction 1
     A reaction: Apparenty this inspired the Romantic era (the Age of Freedom?) just as much as the French Revolution. It is the chief doctrine of extreme individualism - except that the maxim chosen should be one on which rational beings should agree.
Always treat humanity as an end and never as a means only [Kant]
     Full Idea: Act so that you treat humanity, whether in your own person or that of another always as an end and never as a means only.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]), quoted by Gordon Graham - Eight Theories of Ethics Ch.6
     A reaction: Does this really mean that I can't just negligently buy a newspaper without making an effort to respect its seller? How do I ensure that I treat myself as an end, and don't slip into treating myself as a means? What would that be like? Prostitution?
Rational beings necessarily conceive their own existence as an end in itself [Kant]
     Full Idea: Rational nature exists as an end in itself; this is the way in which a man necessarily conceives his own existence.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 429.66)
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
For Kant, even a person who lacks all sympathy for others still has a motive for benevolence [Kant, by Hursthouse]
     Full Idea: Kant, we may suppose, would say that if a man were 'cold in temperament and indifferent to the sufferings of others', he would still find in himself a source that would enable him to do what is benevolent.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Rosalind Hursthouse - On Virtue Ethics Ch.4
     A reaction: This identifies a strong appeal of Kant's theory - that whether we are morally good should not be a matter of luck in our upbringing or natural temperament. How is the vicious person to be saved, if not by reason?
If we are required to give moral thought the highest priority, this gives morality no content [Williams,B on Kant]
     Full Idea: The Kantian view of what is important is that people should give moral considerations the highest deliberative priority, which Hegel attacked because it gives moral thought no content.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Bernard Williams - Ethics and the Limits of Philosophy Ch.10
     A reaction: Interesting. This points towards empathy and compassion as motivators, rather than reason, because there is some content to the morality, which calls out to us.
If Kant lives by self-administered laws, this is as feeble as self-administered punishments [Kierkegaard on Kant]
     Full Idea: Kant thought that man is his own law - he binds himself under the law which he gives himself. This is how lawlessness or experimentation is established. This is no more rigorously earnest than Sancho Panza's self-administered blows to his own ass.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Søren Kierkegaard - The Journals of Kierkegaard JP-I, 188
     A reaction: It really is tempting to go easy on yourself rather than on others. Kant had the right ideas, but human beings aren't as disciplined as the categorical imperative requires. [SY]
Only a good will makes us worthy of happiness [Kant]
     Full Idea: A good will seems to constitute the indispensable condition of our very worthiness to be happy.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 393.2)
The function of reason is to produce a good will [Kant]
     Full Idea: Since reason has been imparted to us as a practical power, which thus influences the will, its true function must be to produce a will which is good.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 396.7)
Our inclinations are not innately desirable; in fact most rational beings would like to be rid of them [Kant]
     Full Idea: Inclinations, as a source of needs, are so far from having an absolute value to make them desirable for their own sake that it must rather be the universal wish of every rational being to be wholly free from them.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 428.65)
Actions where people spread happiness because they enjoy it have no genuine moral worth [Kant]
     Full Idea: There are many spirits of so sympathetic a temper that they find an inner pleasure in spreading happiness around them. ..I maintain that an action of this kind, however right and amiable it may be, has still no genuinely moral worth.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], p.66)
     A reaction: We understand what he means (that principle is everything), but this still seems a big hole in his account, one which drives us to Aristotle's sensible views about what a nice person is really like.
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Rational beings have a right to share in the end of an action, not just be part of the means [Kant]
     Full Idea: A violator of the rights of man intends to use the person of others merely as a means, not considering that they should be used only as beings who must themselves be able to share in the end of the very same action.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 430.68)
25. Social Practice / A. Freedoms / 4. Free market
Kant is the father of the notion of exploitation as an evil [Kant, by Berlin]
     Full Idea: Kant is the father of the notion of exploitation as an evil.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Isaiah Berlin - The Roots of Romanticism Ch.3
     A reaction: This is central to the idea of Kant as the main father of liberalism, the idea that every individual deserves respect, and hence has rights. The idea would also be a crucial element in Europe turning against slavery.
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Kant completed Grotius's project of a non-religious basis for natural law [Scruton on Kant]
     Full Idea: Kant is often held to have completed a task begun by Grotius, giving a basis for natural law which does not invoke the will of God, but rather commands God himself to obedience.
     From: comment on Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Roger Scruton - A Dictionary of Political Thought 'Kant'
     A reaction: This project, if successful, would clinch the naturalistic response to the Euthyphro Question (Ideas 336 and 337). It is a key issue for atheists, who generally wish to deny that their lack of religion leads inevitably to amorality.
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Retributive punishment is better than being sent to hospital for your crimes [Kant, by Berlin]
     Full Idea: Kant believed in retributive punishment, because he thought that a man would prefer being sent to prison to going to hospital.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Isaiah Berlin - The Roots of Romanticism Ch.4
     A reaction: That is, even criminals welcome the dignity of being treated as if they are actually responsible for their deeds, and are not just victims of inner forces. Criminals demand free will! Truth is best, though; many of them are not responsible at all.
25. Social Practice / F. Life Issues / 6. Animal Rights
Non-rational beings only have a relative value, as means rather than as ends [Kant]
     Full Idea: Beings whose existence depends not on our will but on nature have, if they are non-rational beings, only a relative value as means and are consequently called 'things' (rather than 'persons').
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 428.65)
     A reaction: Ugh. Is there nothing in between 'persons' and 'things'? How about a deeply comatose human, or an embryo? It is a gross distortion to think of a chimpanzee as a 'thing'.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)]
     Full Idea: The gods alone are the ones who live forever with Shamash. / As for humans, their days are numbered.
     From: Anon (Gilg) (The Epic of Gilgamesh [c.2300 BCE], 3.2.34), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 1.2
     A reaction: Friend quotes this to show the antiquity of the concept of infinity. It also, of course, shows that Sumerians at that time did not believe in human immortality.
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
We judge God to be good by a priori standards of moral perfection [Kant]
     Full Idea: Where do we get the concept of God as the highest good? Solely from the idea of moral perfection, which reason traces a priori.
     From: Immanuel Kant (Groundwork of the Metaphysic of Morals [1785], 408.29)
We can only know we should obey God if we already have moral standards for judging God [Kant, by MacIntyre]
     Full Idea: On Kant's view it never follows that we ought to do what God commands, for we would have to know that we always ought to do what God commands, but that would need a standard of moral judgement independent of God's commands. God's commands are redundant.
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Alasdair MacIntyre - After Virtue: a Study in Moral Theory Ch.4
     A reaction: This strikes me as a very powerful argument, even an undeniable one. How could you accept any authority if you didn't have some standards for accepting it, even if the standard was just to be awestruck by someone's charisma and will-power?
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
God is not proved by reason, but is a postulate of moral thinking [Kant, by Davies,B]
     Full Idea: Kant speaks of God not as something known or proved to exist by virtue of rational argument, but as a postulate of moral reflection (that is, of 'practical reason').
     From: report of Immanuel Kant (Groundwork of the Metaphysic of Morals [1785]) by Brian Davies - Introduction to the Philosophy of Religion 9 'Morality'
     A reaction: Presumably it is a necessary postulate, which makes this a transcendental argument, surely?