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All the ideas for 'Parmenides', 'Structures and Structuralism in Phil of Maths' and 'Critique of Practical Reason'

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88 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom is knowing the highest good, and conforming the will to it [Kant]
     Full Idea: Wisdom, theoretically regarded, means the knowledge of the highest good and, practically, the conformability of the will to the highest good.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: This seems a narrow account of wisdom, focusing entirely on goodness rather than truth. A mind that valued nothing but understood everything would have a considerable degree of wisdom, in the normal use of that word.
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
What fills me with awe are the starry heavens above me and the moral law within me [Kant]
     Full Idea: Two things fill the mind with ever new and increasing wonder and awe, the oftener and the more steadily we reflect on them: the starry heavens above me and the moral law within me.
     From: Immanuel Kant (Critique of Practical Reason [1788], Concl)
     A reaction: I am beginning to think that the two major issues of all philosophy are ontology and metaethics, and Kant is close to agreeing with me. He certainly wasn't implying that astronomy was a key aspect of philosophy.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Consistency is the highest obligation of a philosopher [Kant]
     Full Idea: Consistency is the highest obligation of a philosopher and yet the most rarely found.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.1.§3)
     A reaction: I agree with this, and it also strikes me as the single most important principle of Kant's philosophy, which is the key to his whole moral theory.
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics is just a priori universal principles of physics [Kant]
     Full Idea: Metaphysics only contains the pure a priori principles of physics in their universal import.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.VI)
     A reaction: 'Universal' seems to imply 'necessary'. If you thought that no a priori universal principles were possible, you would be left with physics. I quite like the definition, except that I think there would still be metaphysics even if there were no physics.
2. Reason / A. Nature of Reason / 1. On Reason
When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato]
     Full Idea: Doubtful questions should not be discussed in terms of visible objects or in relation to them, but only with reference to ideas conceived by the intellect.
     From: Plato (Parmenides [c.364 BCE], 135e)
2. Reason / B. Laws of Thought / 5. Opposites
Opposites are as unlike as possible [Plato]
     Full Idea: Opposites are as unlike as possible.
     From: Plato (Parmenides [c.364 BCE], 159a)
2. Reason / C. Styles of Reason / 1. Dialectic
Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato]
     Full Idea: Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic.
     From: comment on Plato (Parmenides [c.364 BCE]) by Georg W.F.Hegel - Phenomenology of Spirit Pref 71
     A reaction: It is a long way from the analytic tradition of philosophy to be singling out a classic text for its 'artistic' achievement. Eventually we may even look back on, say, Kripke's 'Naming and Necessity' and see it in that light.
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
     Full Idea: While truth can be defined in a relative way, as truth in one particular model, a non-relative notion of truth is implied, as truth in all models.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: [The article is actually discussing arithmetic] This idea strikes me as extremely important. True-in-all-models is usually taken to be tautological, but it does seem to give a more universal notion of truth. See semantic truth, Tarski, Davidson etc etc.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
     Full Idea: In standard ZFC ('Zermelo-Fraenkel with Choice') set theory we deal merely with pure sets, not with additional urelements.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: The 'urelements' would the actual objects that are members of the sets, be they physical or abstract. This idea is crucial to understanding philosophy of mathematics, and especially logicism. Must the sets exist, just as the urelements do?
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
     Full Idea: In second-order logic there are three kinds of variables, for objects, for functions, and for predicates or sets.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: It is interesting that a predicate seems to be the same as a set, which begs rather a lot of questions. For those who dislike second-order logic, there seems nothing instrinsically wicked in having variables ranging over innumerable multi-order types.
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
     Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies.
     From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections'
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
     Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made.
     From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
     Full Idea: 'Analysis' is the theory of the real numbers.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: 'Analysis' began with the infinitesimal calculus, which later built on the concept of 'limit'. A continuum of numbers seems to be required to make that work.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
     Full Idea: The difficulties for a nominalistic mereological approach to arithmetic is that an infinity of physical objects are needed (space-time points? strokes?), and it must define functions, such as 'successor'.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: Many ontologically austere accounts of arithmetic are faced with the problem of infinity. The obvious non-platonist response seems to be a modal or if-then approach. To postulate infinite abstract or physical entities so that we can add 3 and 2 is mad.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
     Full Idea: A common formulation of Peano Arithmetic uses 2nd-order logic, the constant '1', and a one-place function 's' ('successor'). Three axioms then give '1 is not a successor', 'different numbers have different successors', and induction.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: This is 'second-order' Peano Arithmetic, though it is at least as common to formulate in first-order terms (only quantifying over objects, not over properties - as is done here in the induction axiom). I like the use of '1' as basic instead of '0'!
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
     Full Idea: The merits of basing an account of mathematics on set theory are that it allows for a comprehensive unified treatment of many otherwise separate branches of mathematics, and that all assumption, including existence, are explicit in the axioms.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I am forming the impression that set-theory provides one rather good model (maybe the best available) for mathematics, but that doesn't mean that mathematics is set-theory. The best map of a landscape isn't a landscape.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
     Full Idea: Structuralism has emerged from the development of abstract algebra (such as group theory), the creation of axiom systems, the introduction of set theory, and Bourbaki's encyclopaedic survey of set theoretic structures.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: In other words, mathematics has gradually risen from one level of abstraction to the next, so that mathematical entities like points and numbers receive less and less attention, with relationships becoming more prominent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
     Full Idea: Relativist Structuralism simply picks one particular model of axiomatised arithmetic (i.e. one particular interpretation that satisfies the axioms), and then stipulates what the elements, functions and quantifiers refer to.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: The point is that a successful model can be offered, and it doesn't matter which one, like having any sort of aeroplane, as long as it flies. I don't find this approach congenial, though having a model is good. What is the essence of flight?
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
     Full Idea: The term 'structure' has two uses in the literature, what can be called 'particular structures' (which are particular relational systems), but also what can be called 'universal structures' - what particular systems share, or what they instantiate.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §6)
     A reaction: This is a very helpful distinction, because it clarifies why (rather to my surprise) some structuralists turn out to be platonists in a new guise. Personal my interest in structuralism has been anti-platonist from the start.
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
     Full Idea: According to 'pattern' structuralism, what we study are not the various particular isomorphic models of arithmetic, but something in addition to them: a corresponding pattern.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §7)
     A reaction: Put like that, we have to feel a temptation to wield Ockham's Razor. It's bad enough trying to give the structure of all the isomorphic models, without seeking an even more abstract account of underlying patterns. But patterns connect to minds..
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
     Full Idea: There are four main variants of structuralism in the philosophy of mathematics - formalist structuralism, relativist structuralism, universalist structuralism (with modal variants), and pattern structuralism.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §9)
     A reaction: I'm not sure where Chihara's later book fits into this, though it is at the nominalist end of the spectrum. Shapiro and Resnik do patterns (the latter more loosely); Hellman does modal universalism; Quine does the relativist version. Dedekind?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
     Full Idea: Formalist Structuralism endorses structural methodology in mathematics, but rejects semantic and metaphysical problems as either meaningless, or purely formal, or as inference relations.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §3)
     A reaction: [very compressed] I find the third option fairly congenial, certainly in preference to rather platonist accounts of structuralism. One still needs to distinguish the mathematical from the non-mathematical in the inference relations.
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
     Full Idea: It is tempting to take a modal turn, and quantify over all possible objects, because if there are only a finite number of actual objects, then there are no models (of the right sort) for Peano Arithmetic, and arithmetic is vacuously true.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: [compressed; Geoffrey Hellman is the chief champion of this view] The article asks whether we are not still left with the puzzle of whether infinitely many objects are possible, instead of existent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
     Full Idea: Universalist Structuralism is a semantic thesis, that an arithmetical statement asserts a universal if-then statement. We build an if-then statement (using quantifiers) into the structure, and we generalise away from any one particular model.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: There remains the question of what is distinctively mathematical about the highly generalised network of inferences that is being described. Presumable the axioms capture that, but why those particular axioms? Russell is cited as an originator.
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
     Full Idea: Universalist Structuralism is eliminativist about abstract objects, in a distinctive form. Instead of treating the base element (say '1') as an ambiguous referring expression (the Relativist approach), it is a variable which is quantified out.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: I am a temperamental eliminativist on this front (and most others) so this is tempting. I am also in love with the concept of a 'variable', which I take to be utterly fundamental to all conceptual thought, even in animals, and not just a trick of algebra.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
     Full Idea: Relativist Structuralism must first assume the existence of an infinite set, otherwise there would be no model to pick, and arithmetical terms would have no reference.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: See Idea 10169 for Relativist Structuralism. They point out that ZFC has an Axiom of Infinity.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
     Full Idea: If one is, there must also necessarily be number - Necessarily - But if there is number, there would be many, and an unlimited multitude of beings. ..So if all partakes of being, each part of number would also partake of it.
     From: Plato (Parmenides [c.364 BCE], 144a)
     A reaction: This seems to commit to numbers having being, then to too many numbers, and hence to too much being - but without backing down and wondering whether numbers had being after all. Aristotle disagreed.
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
The one was and is and will be and was becoming and is becoming and will become [Plato]
     Full Idea: The one was and is and will be and was becoming and is becoming and will become.
     From: Plato (Parmenides [c.364 BCE], 155d)
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Plato's Parmenides has a three-part theory, of Primal One, a One-Many, and a One-and-Many [Plato, by Plotinus]
     Full Idea: The Platonic Parmenides is more exact [than Parmenides himself]; the distinction is made between the Primal One, a strictly pure Unity, and a secondary One which is a One-Many, and a third which is a One-and-Many.
     From: report of Plato (Parmenides [c.364 BCE]) by Plotinus - The Enneads 5.1.08
     A reaction: Plotinus approves of this three-part theory. Parmenides has the problem that the highest Being contains no movement. By placing the One outside Being you can give it powers which an existent thing cannot have. Cf the concept of God.
7. Existence / D. Theories of Reality / 3. Reality
Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato]
     Full Idea: The absolute good and the beautiful and all which we conceive to be absolute ideas are unknown to us.
     From: Plato (Parmenides [c.364 BCE], 134c)
8. Modes of Existence / D. Universals / 2. Need for Universals
If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato]
     Full Idea: If a person denies that the idea of each thing is always the same, he will utterly destroy the power of carrying on discussion.
     From: Plato (Parmenides [c.364 BCE], 135c)
You must always mean the same thing when you utter the same name [Plato]
     Full Idea: You must always mean the same thing when you utter the same name.
     From: Plato (Parmenides [c.364 BCE], 147d)
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
If admirable things have Forms, maybe everything else does as well [Plato]
     Full Idea: It is troubling that if admirable things have abstract ideas, then perhaps everything else must have ideas as well.
     From: Plato (Parmenides [c.364 BCE], 130d)
Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato]
     Full Idea: These two ideas, greatness and smallness, exist, do they not? For if they did not exist, they could not be opposites of one another, and could not come into being in things.
     From: Plato (Parmenides [c.364 BCE], 149e)
It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato]
     Full Idea: Are there abstract ideas for such things as hair, mud and dirt, which are particularly vile and worthless? That would be quite absurd.
     From: Plato (Parmenides [c.364 BCE], 130d)
Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M]
     Full Idea: It seems to me that Plato in the later dialogues, beginning with the second half of 'Parmenides', wants to substitute a theory of genera and theory of principles that constitute these genera for the earlier theory of forms.
     From: report of Plato (Parmenides [c.364 BCE]) by Michael Frede - Title, Unity, Authenticity of the 'Categories' V
     A reaction: My theory is that the later Plato came under the influence of the brilliant young Aristotle, and this idea is a symptom of it. The theory of 'principles' sounds like hylomorphism to me.
If absolute ideas existed in us, they would cease to be absolute [Plato]
     Full Idea: None of the absolute ideas exists in us, because then it would no longer be absolute.
     From: Plato (Parmenides [c.364 BCE], 133c)
The concept of a master includes the concept of a slave [Plato]
     Full Idea: Mastership in the abstract is mastership of slavery in the abstract.
     From: Plato (Parmenides [c.364 BCE], 133e)
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Participation is not by means of similarity, so we are looking for some other method of participation [Plato]
     Full Idea: Participation is not by means of likeness, so we must seek some other method of participation.
     From: Plato (Parmenides [c.364 BCE], 133a)
The whole idea of each Form must be found in each thing which participates in it [Plato]
     Full Idea: The whole idea of each form (of beauty, justice etc) must be found in each thing which participates in it.
     From: Plato (Parmenides [c.364 BCE], 131a)
If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato]
     Full Idea: If all things partake of ideas, must either everything be made of thoughts and everything thinks, or everything is thought, and so can't think?
     From: Plato (Parmenides [c.364 BCE], 132c)
Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato]
     Full Idea: Just as day is in many places at once, but not separated from itself, so each idea might be in all its participants at once.
     From: Plato (Parmenides [c.364 BCE], 131b)
If things are made alike by participating in something, that thing will be the absolute idea [Plato]
     Full Idea: That by participation in which like things are made like, will be the absolute idea, will it not?
     From: Plato (Parmenides [c.364 BCE], 132e)
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato]
     Full Idea: If you regard the absolute great and the many great things in the same way, will not another appear beyond, by which all these must appear to be great?
     From: Plato (Parmenides [c.364 BCE], 132a)
Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato]
     Full Idea: It is impossible for anything to be like an absolute idea, because a third idea will appear to make them alike, and if that is like anything, it will lead to another idea, and so on.
     From: Plato (Parmenides [c.364 BCE], 133a)
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
     Full Idea: One way for a nominalist to reject appeal to all abstract objects, including sets, is to only appeal to nominalistically acceptable objects, including mereological sums.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I'm suddenly thinking that this looks very interesting and might be the way to go. The issue seems to be whether mereological sums should be seen as constrained by nature, or whether they are unrestricted. See Mereology in Ontology...|Intrinsic Identity.
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Parts must belong to a created thing with a distinct form [Plato]
     Full Idea: The part would not be the part of many things or all, but of some one character ['ideas'] and of some one thing, which we call a 'whole', since it has come to be one complete [perfected] thing composed [created] of all.
     From: Plato (Parmenides [c.364 BCE], 157d)
     A reaction: A serious shot by Plato at what identity is. Harte quotes it (125) and shows that 'character' is Gk 'idea', and 'composed' will translate as 'created'. 'Form' links this Platonic passage to Aristotle's hylomorphism.
9. Objects / C. Structure of Objects / 5. Composition of an Object
In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V]
     Full Idea: At the heart of the 'Parmenides' puzzles about composition is the thesis that composition is identity. Considered thus, a whole adds nothing to an ontology that already includes its parts
     From: report of Plato (Parmenides [c.364 BCE]) by Verity Harte - Plato on Parts and Wholes 2.5
     A reaction: There has to be more to a unified identity that mere proximity of the parts. When do parts come together, and when do they actually 'compose' something?
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Plato says only a one has parts, and a many does not [Plato, by Harte,V]
     Full Idea: In 'Parmenides' it is argued that a part cannot be part of a many, but must be part of something one.
     From: report of Plato (Parmenides [c.364 BCE], 157c) by Verity Harte - Plato on Parts and Wholes 3.2
     A reaction: This looks like the right way to go with the term 'part'. We presuppose a unity before we even talk of its parts, so we can't get into contradictions and paradoxes about their relationships.
Anything which has parts must be one thing, and parts are of a one, not of a many [Plato]
     Full Idea: The whole of which the parts are parts must be one thing composed of many; for each of the parts must be part, not of a many, but of a whole.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: This is a key move of metaphysics, and we should hang on to it. The other way madness lies.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
It seems that the One must be composed of parts, which contradicts its being one [Plato]
     Full Idea: The One must be composed of parts, both being a whole and having parts. So on both grounds the One would thus be many and not one. But it must be not many, but one. So if the One will be one, it will neither be a whole, nor have parts.
     From: Plato (Parmenides [c.364 BCE], 137c09), quoted by Kathrin Koslicki - The Structure of Objects 5.2
     A reaction: This is the starting point for Plato's metaphysical discussion of objects. It seems to begin a line of thought which is completed by Aristotle, surmising that only an essential structure can bestow identity on a bunch of parts.
9. Objects / F. Identity among Objects / 6. Identity between Objects
Two things relate either as same or different, or part of a whole, or the whole of the part [Plato]
     Full Idea: Everything is surely related to everything as follows: either it is the same or different; or, if it is not the same or different, it would be related as part to whole or as whole to part.
     From: Plato (Parmenides [c.364 BCE], 146b)
     A reaction: This strikes me as a really helpful first step in trying to analyse the nature of identity. Two things are either two or (actually) one, or related mereologically.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Necessity cannot be extracted from an empirical proposition [Kant]
     Full Idea: It is a clear contradiction to try to extract necessity from an empirical proposition.
     From: Immanuel Kant (Critique of Practical Reason [1788], Pref)
     A reaction: This is precisely the idea which Kripke challenged, claiming that the necessary essences of natural kinds such as gold have to be discovered empirically. All my intuitions are with Kant (and Hume) on this, but it is a complex issue…
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Can pure reason determine the will, or are empirical conditions relevant? [Kant]
     Full Idea: This is the first question: Is pure reason sufficient of itself to determine the will, or is it only as empirically conditioned that it can do so?
     From: Immanuel Kant (Critique of Practical Reason [1788], Intro)
     A reaction: This seems to be the core question of intellectualism, which goes back to Socrates. You can only accept the question if you accept the concept of 'pure' reason. Values seem to be needed for action, as well as empirical circumstances.
The will is the faculty of purposes, which guide desires according to principles [Kant]
     Full Idea: The will could be defined as the faculty of purposes, since they are always determining grounds of the faculty of desire according to principles.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.II)
     A reaction: Do animals have wills? Kant implies that you can only have a will if you have principles. Compare Hobbes' rather less elevated definition of the will (Idea 2362).
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
The sole objects of practical reason are the good and the evil [Kant]
     Full Idea: The sole objects of a practical reason are thus those of the good and the evil.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.II)
     A reaction: Of course, you may aim to achieve x because it is good, while I judge x to be evil.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Only human reason can confer value on our choices [Kant, by Korsgaard]
     Full Idea: Kant argues that only human reason is in a position to confer value on the objects of human choice.
     From: report of Immanuel Kant (Critique of Practical Reason [1788]) by Christine M. Korsgaard - Aristotle and Kant on the Source of Value 8 'Kant'
     A reaction: If the source of value is humans, then it is not immediately clear why it is only our reason that does the conferring. What is the status of a choice on which reason fails to confer value? The idea is that reason, unlike desire, has intrinsic value.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
People cannot come to morality through feeling, because morality must not be sensuous [Kant]
     Full Idea: In the subject there is no antecedent feeling tending to morality; that is impossible, because all feeling is sensuous, and the drives of the moral disposition must be free from every sensuous condition.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.III)
     A reaction: I'm not quite clear (even after reading Kant) why moral drives 'must' be free of sensuousness. Aristotle gives a much better account, when he tells us that the sensuous drives must be trained in the right way, and must be in harmony with the reason.
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Kant may rate two things as finally valuable: having a good will, and deserving happiness [Orsi on Kant]
     Full Idea: In some interpretations it appears that for Kant two things are finally valuable: good will (unconditionally), and deserved happiness (conditionally on the value of good will).
     From: comment on Immanuel Kant (Critique of Practical Reason [1788]) by Francesco Orsi - Value Theory 2.2
     A reaction: It doesn't sound difficult to reconcile these two. Just ask 'what is required of someone to deserve happiness?'.
An autonomous agent has dignity [Würde], which has absolute worth [Kant, by Pinkard]
     Full Idea: For Kant, there is something about beings that can act autonomously that is itself of 'absolute worth', which Kant calls the 'dignity' [Würde] of each such agent.
     From: report of Immanuel Kant (Critique of Practical Reason [1788]) by Terry Pinkard - German Philosophy 1760-1860 02
     A reaction: This answers my puzzle about where Kant's fundamental values come from. Surely wicked actions can be autonomous? Autonomous actions aren't thereby good actions. A 'good' will, course, whatever that is. Rational? My problem with existentialist ethics.
The good will is unconditionally good, because it is the only possible source of value [Kant, by Korsgaard]
     Full Idea: Kant argues that the good will is unconditionally good because it is the only thing able to be a source of value.
     From: report of Immanuel Kant (Critique of Practical Reason [1788]) by Christine M. Korsgaard - Aristotle and Kant on the Source of Value 8 'Kant'
     A reaction: The obvious worry is the circularity of resting a theory of value on identifying a 'good' will as its source.
Good or evil cannot be a thing, but only a maxim of action, making the person good or evil [Kant]
     Full Idea: If something is held to be absolutely good or evil in all respects and without qualification, it could not be a thing but only the manner of acting, i.e., it could only be the maxim of the will, and consequently the acting person himself is good or evil.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.II)
     A reaction: It goes on to deny that pain is intrinsically evil, but his reason for the claim is not clear. Nevetheless, I think he is right. This remark is an important bridge between Enlightenment concerns with law and Greek concerns with character.
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Morality involves duty and respect for law, not love of the outcome [Kant]
     Full Idea: All the morality of actions may be placed in their necessity from duty and from respect for the law, and not from love for or leaning toward that which the action is to produce.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.III)
     A reaction: Kant tries to reject consequentialism, but you cannot assess your duty or the universal law without an assessment of probable consequences, and we could never choose between laws if we did not already see value in the outcome.
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Our happiness is all that matters, not as a sensation, but as satisfaction with our whole existence [Kant]
     Full Idea: Our happiness is the only thing of importance, provided this is judged, as reason requires, not according to transitory sensation but according to the influence which this contingency has on our whole existence and our satisfaction with it.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.II)
     A reaction: This is closer to the Greek eudaimonia than to the modern conception of happiness, which is largely just a feeling. Kant's view seems more like a private judgement on your whole life, where the Greek idea seems more public and objective.
Happiness is the condition of a rational being for whom everything goes as they wish [Kant]
     Full Idea: Happiness is the condition of a rational being in the world with whom everything goes according to his wish and will.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: For such a sophisticated and rational philosopher this seems a rather crude notion. Reluctant alcoholics don't fit. Bradley has a much better definition (Idea 5655).
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
Morality is not about making ourselves happy, but about being worthy of happiness [Kant]
     Full Idea: Morality is not properly the doctrine of how we should make ourselves happy, but how we should become worthy of happiness.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: Whatever else you think of Kant's moral theory, this remark is a clarion call we can all recognise. Suppose we all somehow ended up in a state of maximal happiness by systematically betraying one another.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The highest worth for human beings lies in dispositions, not just actions [Kant]
     Full Idea: The highest worth which human beings can and should procure for themselves lies in dispositions and not in actions only.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.II)
     A reaction: This leaves the problem of the well-meaning fool, who has wonderful dispositions but poor judgement. What Kant is describing here is better known as virtue. See Idea 58.
Virtue is the supreme state of our pursuit of happiness, and so is supreme good [Kant]
     Full Idea: Virtue (as the worthiness to be happy) is the supreme condition of whatever appears to us to be desirable and thus of all our pursuit of happiness and, consequently, the supreme good.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II)
     A reaction: Thus Kant can claim to be a virtue theorist, but giving us a very different account of how virtue arises. He emphasises elsewhere (Idea 6197) that the supreme good must be in the will, not in the outcome. 'Virtue' is here a rather thin concept.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Moral law is holy, and the best we can do is achieve virtue through respect for the law [Kant]
     Full Idea: The moral law is holy (unyielding), although all the moral perfection to which man can attain is still only virtue, that is, a rightful disposition arising from respect for the law.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: In comparison with Aristotle's view of virtue this is very passive and external. Aristotle doesn't need laws for virtue, he needs inner harmony and a grasp of what has high value.
23. Ethics / D. Deontological Ethics / 3. Universalisability
No one would lend money unless a universal law made it secure, even after death [Kant]
     Full Idea: If my maxim is 'augment my property by all safe means', I can't make that a law allowing me to keep a dead man's loan, because no one would make a loan if that were the moral law.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.1.§4)
     A reaction: This is a simple illustration of Kant's strategy and it shows clearly how, for all his talk of 'pure reason', his moral law is strongly guided by consequences, and that these can only judged by prior values - for example, that loans are a good thing.
Universality determines the will, and hence extends self-love into altruism [Kant]
     Full Idea: The form of universality is itself the determining ground of the will, …and from this limitation alone, and not from the addition of any exernal drive, the concept of obligation arises to extend the maxim of self-love also to the happiness of others.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.1.§8)
     A reaction: This is the heroic and optimistic part of Kant's philosophy, the attempt to derive altruism from pure reason. The claim seems to be that maxims don't motivate until they have been universalised. I fear that only altruism could add such motivation.
23. Ethics / D. Deontological Ethics / 5. Persons as Ends
Everyone (even God) must treat rational beings as ends in themselves, and not just as means [Kant]
     Full Idea: In the order of ends, man (and every rational being) is an end in himself, i.e., he is never to be used merely as a means for someone (even for God) without at the same time being himself an end.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: The worry here is that Kant has set up an exam that you have to pass before you can be treated as a moral end. Animals and the ecosystem will fail the exam, and even some human beings will be borderline cases. We should respect everything.
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
A holy will is incapable of any maxims which conflict with the moral law [Kant]
     Full Idea: A holy will is one which is incapable of any maxims which conflict with the moral law
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.1.§7)
     A reaction: If such a will is 'incapable' of conflicting with moral law, it will not need to think or assess before action. This means that Kant's moral ideal can ultimately exclude the free-thinking intellect. Kant is describing a state of true Aristotelian virtue.
Reason cannot solve the problem of why a law should motivate the will [Kant]
     Full Idea: How a law in itself can be the direct motive of the will (which is the essence of morality) is an insoluble problem for the human reason.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.III)
     A reaction: If that is the great man's final word, then it is tempting to switch to an empirical moral theory, such as that of Hobbes or Hume or E.O. Wilson, which starts from what motivations are available, and builds morality up from that.
25. Social Practice / E. Policies / 5. Education / c. Teaching
Only a great person can understand the essence of things, and an even greater person can teach it [Plato]
     Full Idea: Only a man of very great natural gifts will be able to understand that everything has a class and absolute essence, and an even more wonderful man can teach this.
     From: Plato (Parmenides [c.364 BCE], 135a)
25. Social Practice / F. Life Issues / 4. Suicide
A permanent natural order could not universalise a rule permitting suicide [Kant]
     Full Idea: The maxim of freely disposing of my life could not hold as a universal law of nature, …because no one could choose to end his life, for such an arrangement could not constitute a permanent natural order.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.1.1.I)
     A reaction: This sort of claim brings out the advantanges of Aristotelian 'particularism' (expounded by Dancy). Obviously universal suicide isn't promising, but no one wants that. A few suicides in extreme cases will have no effect at all on the natural order.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The unlimited has no shape and is endless [Plato]
     Full Idea: The unlimited partakes neither of the round nor of the straight, because it has no ends nor edges.
     From: Plato (Parmenides [c.364 BCE], 137e)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Some things do not partake of the One [Plato]
     Full Idea: The others cannot partake of the one in any way; they can neither partake of it nor of the whole.
     From: Plato (Parmenides [c.364 BCE], 159d)
     A reaction: Compare Idea 231
The only movement possible for the One is in space or in alteration [Plato]
     Full Idea: If the One moves it either moves spatially or it is altered, since these are the only motions.
     From: Plato (Parmenides [c.364 BCE], 138b)
Everything partakes of the One in some way [Plato]
     Full Idea: The others are not altogether deprived of the one, for they partake of it in some way.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: Compare Idea 233.
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Obligation does not rest on the existence of God, but on the autonomy of reason [Kant]
     Full Idea: It is not to be understood that the assumption of the existence of God is necessary as a ground for all obligation in general (for this rests, as has been shown, solely on the autonomy of reason itself).
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: This shows that Kant agrees with Plato about the Euthyphro Question - that is, they both think that morality is logically and naturally prior to any gods. I agree. Why would we admire or worship or obey gods if we didn't think they were good?
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
We couldn't discuss the non-existence of the One without knowledge of it [Plato]
     Full Idea: There must be knowledge of the one, or else not even the meaning of the words 'if the one does not exist' would be known.
     From: Plato (Parmenides [c.364 BCE], 160d)
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
We have to postulate something outside nature which makes happiness coincide with morality [Kant]
     Full Idea: The existence must be postulated of a cause of the whole of nature, itself distinct from nature, which contains the ground of the exact coincidence of happiness with morality.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V)
     A reaction: I can see that we need a concept of how happiness could be made proportional to morality, but I can't make sense of the assumption that it is actually possible, and hence something must exist that would achieve it.
Belief in justice requires belief in a place for justice (heaven), a time (eternity), and a cause (God) [Kant, by PG]
     Full Idea: To believe in justice in an unjust world, you have to believe in a place of perfect justice (heaven), a time for perfect justice (eternity), and a cause of perfect justice (God).
     From: report of Immanuel Kant (Critique of Practical Reason [1788], I.II.II.V) by PG - Db (ideas)
     A reaction: Compare Boethius in Idea 5765. I can see that we might need to grasp the ideals of eternal justice in order to understand morality, but belief in their genuine possibility, or even actuality, doesn't seem to follow.
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
To know if this world must have been created by God, we would need to know all other possible worlds [Kant]
     Full Idea: We can't infer the existence of God from knowledge of this world, because we should have to know all possible worlds in order to compare them - in short, we should have to be omniscient - in order to say that it is possible only through a God.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.VI)
     A reaction: A nice remark, but not wholly convincing. This argument would block all attempts to work out necessities a priori, such as those of maths and logic. Must we know all possible worlds intimately to know that 2+2 is always 4?
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
Using God to explain nature is referring to something inconceivable to explain what is in front of you [Kant]
     Full Idea: To have recourse to God in explaining the arrangements of nature is not a physical explanation but a confession that one has come to the end of philosophy, since one assumes something of which one has no concept to conceive what is before one's eyes.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.VI)
     A reaction: Hume had many objections to the design argument, some of them positively sarcastic, but none as ruthless as this, since Kant (here) seems to find God to be a totally empty concept, and hence a complete non-starter as explanation for anything.
From our limited knowledge we can infer great virtues in God, but not ultimate ones [Kant]
     Full Idea: Since we know only a small part of the world, and cannot compare it with all possible worlds, we can infer from the order, design and magnitude to a wise, beneficent and powerful Author, but not that He is all-knowing, all-good, and all-powerful.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.VI)
     A reaction: This is very much in the spirit of David Hume, who inferred from the flaws in the world that God did not seem to be entirely competent. Hume is also more imaginative, in seeing that God might be a committee, or a hired workman.
28. God / C. Attitudes to God / 4. God Reflects Humanity
In all naturalistic concepts of God, if you remove the human qualities there is nothing left [Kant]
     Full Idea: One can confidently challenge all pretended natural theologians to cite one single definitive attribute of their object, of which one could not irrefutably show that, when everything anthropomorphic is removed, only the word remains.
     From: Immanuel Kant (Critique of Practical Reason [1788], I.II.II.VI)
     A reaction: This idea derives from Hume's very empiricist view of our understanding of God (Idea 2185), but Kant is (remarkably) more hostile than Hume, because he actually implies that most people's concept of God is totally vacuous.