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All the ideas for 'Topics', 'The Nature of Necessity' and 'Philosophy'

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48 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Begin examination with basics, and subdivide till you can go no further [Aristotle]
     Full Idea: The examination must be carried on and begin from the primary classes and then go on step by step until further division is impossible.
     From: Aristotle (Topics [c.331 BCE], 109b17)
     A reaction: This is a good slogan for the analytic approach to thought. I take Aristotle (or possibly Socrates) to be the father of analysis, not Frege (though see Idea 9840). (He may be thinking of the tableau method of proof).
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic starts from generally accepted opinions [Aristotle]
     Full Idea: Reasoning is dialectical which reasons from generally accepted opinions.
     From: Aristotle (Topics [c.331 BCE], 100a30)
     A reaction: This is right at the heart of Aristotle's philosophical method, and Greek thinking generally. There are nice modern debates about 'folk' understanding, derived from science (e.g. quantum theory) which suggest that starting from normal views is a bad idea.
2. Reason / D. Definition / 1. Definitions
There can't be one definition of two things, or two definitions of the same thing [Aristotle]
     Full Idea: There cannot possibly be one definition of two things, or two definitions of the same thing.
     From: Aristotle (Topics [c.331 BCE], 154a11)
     A reaction: The second half of this is much bolder and more controversial, and plenty of modern thinkers would flatly reject it. Are definitions contextual, that is, designed for some specific human purpose. Must definitions be of causes?
Definitions are easily destroyed, since they can contain very many assertions [Aristotle]
     Full Idea: A definition is the easiest of all things to destroy; for, since it contains many assertions, the opportunities which it offers are very numerous, and the more abundant the material, the more quickly the reasoning can set to work.
     From: Aristotle (Topics [c.331 BCE], 155a03)
     A reaction: I quote this to show that Aristotle expected many definitions to be very long affairs (maybe even of book length?)
2. Reason / D. Definition / 5. Genus and Differentia
Differentia are generic, and belong with genus [Aristotle]
     Full Idea: The differentia, being generic in character, should be ranged with the genus.
     From: Aristotle (Topics [c.331 BCE], 101b18)
     A reaction: This does not mean that naming the differentia amounts to mere classification. I presume we can only state individual differences by using a language which is crammed full of universals.
'Genus' is part of the essence shared among several things [Aristotle]
     Full Idea: A 'genus' is that which is predicated in the category of essence of several things which differ in kind.
     From: Aristotle (Topics [c.331 BCE], 102a32)
     A reaction: Hence a genus is likely to be expressed by a universal, a one-over-many. A particular will be a highly individual collection of various genera, but what ensures the uniqueness of each thing, if they are indiscernible?
We describe the essence of a particular thing by means of its differentiae [Aristotle]
     Full Idea: We usually isolate the appropriate description of the essence of a particular thing by means of the differentiae which are peculiar to it.
     From: Aristotle (Topics [c.331 BCE], 108b05)
     A reaction: I take this to be important for showing the definition is more than mere categorisation. A good definition homes in the particular, by gradually narrowing down the differentiae.
The differentia indicate the qualities, but not the essence [Aristotle]
     Full Idea: No differentia indicates the essence [ti estin], but rather some quality, such as 'pedestrian' or 'biped'.
     From: Aristotle (Topics [c.331 BCE], 122b17)
     A reaction: We must disentangle this, since essence is what is definable, and definition seems to give us the essence, and yet it appears that definition only requires genus and differentia. Differentiae seem to be both generic and fine-grained. See Idea 12280!
In definitions the first term to be assigned ought to be the genus [Aristotle]
     Full Idea: In definitions the first term to be assigned ought to be the genus.
     From: Aristotle (Topics [c.331 BCE], 132a12)
     A reaction: We mustn't be deluded into thinking that nothing else is required. I take the increasing refinement of differentiae to be where the real action is. The genus gives you 70% of the explanation.
The genera and the differentiae are part of the essence [Aristotle]
     Full Idea: The genera and the differentiae are predicated in the category of essence.
     From: Aristotle (Topics [c.331 BCE], 153a19)
     A reaction: The definition is words, and the essence is real, so our best definition might not fully attain to the essence. Aristotle has us reaching out to the world through our definitions.
2. Reason / D. Definition / 6. Definition by Essence
The definition is peculiar to one thing, not common to many [Aristotle]
     Full Idea: The definition ought to be peculiar to one thing, not common to many.
     From: Aristotle (Topics [c.331 BCE], 149b24)
     A reaction: I take this to be very important, against those who think that definition is no more than mere categorisation. To explain, you must get down to the level of the individual. We must explain that uniquely docile tiger.
3. Truth / A. Truth Problems / 4. Uses of Truth
Truth is what unites, and the profound truths create a community [Jaspers]
     Full Idea: Truth is what unites. ...[p.145] The most profound truth is that which all men might understand so as to form one community.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: Nice slogan, for robust realists like me. The hallmark of truth is our convergence on it. This is a 20th century existentialist perfectly expounding the enlightenment dream. The best rhetoric is truthful rhetoric.
5. Theory of Logic / L. Paradox / 2. Aporiai
Puzzles arise when reasoning seems equal on both sides [Aristotle]
     Full Idea: The equality of opposite reasonings is the cause of aporia; for it is when we reason on both [sides of a question] and it appears to us that everything can come about either way, that we are in a state of aporia about which of the two ways to take up.
     From: Aristotle (Topics [c.331 BCE], 145b17), quoted by Vassilis Politis - Aristotle and the Metaphysics 3.1
     A reaction: Other philosophers give up on the subject in this situation, but I love Aristotle because he takes this to be the place where philosophy begins.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Unit is the starting point of number [Aristotle]
     Full Idea: They say that the unit [monada] is the starting point of number (and the point the starting-point of a line).
     From: Aristotle (Topics [c.331 BCE], 108b30)
     A reaction: Yes, despite Frege's objections in the early part of the 'Grundlagen' (1884). I take arithmetic to be rooted in counting, despite all abstract definitions of number by Frege and Dedekind. Identity gives the unit, which is countable. See also Topics 141b9
7. Existence / E. Categories / 3. Proposed Categories
There are ten categories: essence, quantity, quality, relation, place, time, position, state, activity, passivity [Aristotle]
     Full Idea: The four main types of predicates fall into ten categories: essence, quantity, quality, relation, place, time, position, state, activity, passivity.
     From: Aristotle (Topics [c.331 BCE], 103b20)
     A reaction: These are the standard ten categories of Aristotle. He is notable for the divisions not being sharp, and ten being a rough total. He is well aware of the limits of precision in such matters.
8. Modes of Existence / B. Properties / 1. Nature of Properties
An individual property has to exist (in past, present or future) [Aristotle]
     Full Idea: If it does not at present exist, or, if it has not existed in the past, or if it is not going to exist in the future, it will not be a property [idion] at all.
     From: Aristotle (Topics [c.331 BCE], 129a27)
     A reaction: This seems to cramp our style in counterfactual discussion. Can't we even mention an individual property if we believe that it will never exist. Utopian political discussion will have to cease!
8. Modes of Existence / B. Properties / 3. Types of Properties
An 'accident' is something which may possibly either belong or not belong to a thing [Aristotle]
     Full Idea: An 'accident' [sumbebekos] is something which may possibly either belong or not belong to any one and the self-same thing, such as 'sitting posture' or 'whiteness'. This is the best definition, because it tells us the essential meaning of the term itself.
     From: Aristotle (Topics [c.331 BCE], 102b07)
     A reaction: Thus a car could be red, or not red. Accidents are contingent. It does not follow that necessary properties are essential (see Idea 12262). There are accidents [sumbebekos], propria [idion] and essences [to ti en einai].
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus gives the essence better than the differentiae do [Aristotle]
     Full Idea: In assigning the essence [ti estin], it is more appropriate to state the genus than the differentiae; for he who describes 'man' as an 'animal' indicates his essence better than he who describes him as 'pedestrian'.
     From: Aristotle (Topics [c.331 BCE], 128a24)
     A reaction: See Idea 12279. This idea is only part of the story. My reading of this is simply that assigning a genus gives more information. We learn more about him when we say he is a man than when we say he is Socrates.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
In the case of a house the parts can exist without the whole, so parts are not the whole [Aristotle]
     Full Idea: In the case of a house, where the process of compounding the parts is obvious, though the parts exist, there is no reason why the whole should not be non-existent, and so the parts are not the same as the whole.
     From: Aristotle (Topics [c.331 BCE], 150a19)
     A reaction: Compare buying a piece of furniture, and being surprised to discover, when it is delivered, that it is self-assembly. This idea is a simple refutation of the claims of classical mereology, that wholes are just some parts. Aristotle uses modal claims.
9. Objects / D. Essence of Objects / 3. Individual Essences
Everything that is has one single essence [Aristotle]
     Full Idea: Everything that is has one single essence [en esti to einai].
     From: Aristotle (Topics [c.331 BCE], 141a36)
     A reaction: Does this include vague objects, and abstract 'objects'? Sceptics might ask what grounds this claim. Does Dr Jeckyll have two essences?
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
An 'idion' belongs uniquely to a thing, but is not part of its essence [Aristotle]
     Full Idea: A property [idion] is something which does not show the essence of a thing but belongs to it alone. ...No one calls anything a property which can possibly belong to something else.
     From: Aristotle (Topics [c.331 BCE], 102a18)
     A reaction: [See Charlotte Witt 106 on this] 'Property' is clearly a bad translation for such an individual item. Witt uses 'proprium', which is a necessary but nonessential property of something. Necessity is NOT the hallmark of essence. See Idea 12266.
9. Objects / E. Objects over Time / 11. End of an Object
Destruction is dissolution of essence [Aristotle]
     Full Idea: Destruction is a dissolution of essence.
     From: Aristotle (Topics [c.331 BCE], 153b30)
     A reaction: [plucked from context!] I can't think of a better way to define destruction, in order to distinguish it from damage. A vase is destroyed when its essential function cannot be recovered.
9. Objects / E. Objects over Time / 12. Origin as Essential
If two things are the same, they must have the same source and origin [Aristotle]
     Full Idea: When things are absolutely the same, their coming-into-being and destruction are also the same and so are the agents of their production and destruction.
     From: Aristotle (Topics [c.331 BCE], 152a02)
     A reaction: Thus Queen Elizabeth II has to be the result of that particular birth, and from those particular parents, as Kripke says? The inverse may not be true. Do twins have a single origin? Things that fission and then re-fuse differently? etc
9. Objects / F. Identity among Objects / 9. Sameness
'Same' is mainly for names or definitions, but also for propria, and for accidents [Aristotle]
     Full Idea: 'The same' is employed in several senses: its principal sense is for same name or same definition; a second sense occurs when sameness is applied to a property [idiu]; a third sense is applied to an accident.
     From: Aristotle (Topics [c.331 BCE], 103a24-33)
     A reaction: [compressed] 'Property' is better translated as 'proprium' - a property unique to a particular thing, but not essential - see Idea 12262. Things are made up of essence, propria and accidents, and three ways of being 'the same' are the result.
Two identical things have the same accidents, they are the same; if the accidents differ, they're different [Aristotle]
     Full Idea: If two things are the same then any accident of one must also be an accident of the other, and, if one of them is an accident of something else, so must the other be also. For, if there is any discrepancy on these points, obviously they are not the same.
     From: Aristotle (Topics [c.331 BCE], 152a36)
     A reaction: So what is always called 'Leibniz's Law' should actually be 'Aristotle's Law'! I can't see anything missing from the Aristotle version, but then, since most people think it is pretty obvious, you would expect the great stater of the obvious to get it.
Numerical sameness and generic sameness are not the same [Aristotle]
     Full Idea: Things which are the same specifically or generically are not necessarily the same or cannot possibly be the same numerically.
     From: Aristotle (Topics [c.331 BCE], 152b32)
     A reaction: See also Idea 12266. This looks to me to be a pretty precise anticipation of Peirce's type/token distinction, but without the terminology. It is reassuring that Aristotle spotted it, as that makes it more likely to be a genuine distinction.
10. Modality / A. Necessity / 6. Logical Necessity
Reasoning is when some results follow necessarily from certain claims [Aristotle]
     Full Idea: Reasoning [sullogismos] is a discussion in which, certain things having been laid down, something other than these things necessarily results through them.
     From: Aristotle (Topics [c.331 BCE], 100a25)
     A reaction: This is cited as the standard statement of the nature of logical necessity. One might challenge either the very word 'necessary', or the exact sense of the word employed here. Is it, in fact, metaphysical, or merely analytic?
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Plantinga says there is just this world, with possibilities expressed in propositions [Plantinga, by Armstrong]
     Full Idea: Plantinga rejects other possible worlds, but adds to our world an uncountable multitude of sets of propositions, each set a way that the world might have been, but is in fact not. (Roughly, for each Lewis world, Plantinga has such a set).
     From: report of Alvin Plantinga (The Nature of Necessity [1974]) by David M. Armstrong - Truth and Truthmakers 07.2
     A reaction: To me it seems as ontologically extravagant to postulate unexpressed propositions as to postulate concrete possible worlds. I think the best line is that there is just the actual world, with the possibilities implied in its dispositions.
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
Possibilities for an individual can only refer to that individual, in some possible world [Plantinga, by Mackie,P]
     Full Idea: Plantinga says for an individual to exist with certain properties in some possible world is simply for it to be true that, had that possible world obtained, that individual would have existed with those properties.
     From: report of Alvin Plantinga (The Nature of Necessity [1974]) by Penelope Mackie - How Things Might Have Been 5.1
     A reaction: This is intended to dissolve the problem of transworld identity, and is certainly a flat rejection of counterparts. I take the point to be that the individual is the key element in defining the possible world, so can't possibly be different.
14. Science / C. Induction / 1. Induction
Induction is the progress from particulars to universals [Aristotle]
     Full Idea: Induction is the progress from particulars to universals; if the skilled pilot is the best pilot and the skilled charioteer the best charioteer, then, in general, the skilled man is the best man in any particular sphere.
     From: Aristotle (Topics [c.331 BCE], 105a15)
     A reaction: It is a bit unclear whether we are deriving universal concepts, or merely general truths. Need general truths be absolute or necessary truths? Presumably occasionally the best person is not the most skilled, as in playing a musical instrument.
14. Science / C. Induction / 3. Limits of Induction
We say 'so in cases of this kind', but how do you decide what is 'of this kind'? [Aristotle]
     Full Idea: When it is necessary to establish the universal, people use the expression 'So in all cases of this kind'; but it is one of the most difficult tasks to define which of the terms proposed are 'of this kind' and which are not.
     From: Aristotle (Topics [c.331 BCE], 157a25)
     A reaction: It is particularly hard if induction is expressed as the search for universals, since the kind presumably is the universal, so the universal must be known before the induction can apply, which really is the most frightful nuisance for truth-seekers.
16. Persons / F. Free Will / 2. Sources of Free Will
Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers]
     Full Idea: Without knowledge there is no freedom ....and without an arbitrary act there is no freedom, ....and there is no freedom without law.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: He emphasises that an arbitrary act is not a free act, but it is a precondition for being free. The submission to law is active freedom. If you believe in education (and you should) you must believe that knowledge is liberating.
16. Persons / F. Free Will / 4. For Free Will
I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers]
     Full Idea: Either there is no freedom or it is in asking about it. But what makes me ask is an original will to be free, so my freedom is anticipated in the fact of asking. I cannot prove it first, then will it. I will it because I am conscious of its possibility.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: This presents the subjective claims for free will rather more persuasively than usual. I am conscious of a possibility that I might flap my arms and fly, so that doesn't establish anything. But yearning to be free is a sort of freedom.
20. Action / C. Motives for Action / 4. Responsibility for Actions
My freedom increases as I broaden my vision of possiblities and motives [Jaspers]
     Full Idea: I become free by incessantly broadening my worldly orientation, by limitlessly visualising premises and possibilities of action, and by allowing all motives to speak to me. ...The more the totality determines my vision the freer I know I am.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: This matches my naturalistic view of responsibility for actions, which are those performed by the 'full' and knowing self. I note that freedom comes in degrees for him, so he presumably don't believe in absolute freedom. It is wholly subjective.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Justice and self-control are better than courage, because they are always useful [Aristotle]
     Full Idea: Justice [dikaiosune] and self-control [sophrosune] are preferable to courage, for the first two are always useful, but courage only sometimes.
     From: Aristotle (Topics [c.331 BCE], 117a36)
     A reaction: One could challenge his criterion. What of something which is absolutely vital on occasions, against something which is very mildly useful all the time? You may survive without justice, but not without courage. Compare Idea 12277.
Friendship is preferable to money, since its excess is preferable [Aristotle]
     Full Idea: Friendship is preferable to money; for excess of friendship is preferable to excess of money.
     From: Aristotle (Topics [c.331 BCE], 118b07)
     A reaction: Compare Idea 12276, which gives a different criterion for choosing between virtues. This idea is an interesting qualification of the doctrine of the mean.
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
We value friendship just for its own sake [Aristotle]
     Full Idea: We value friendship for its own sake, even if we are not likely to get anything else from it.
     From: Aristotle (Topics [c.331 BCE], 117a03)
     A reaction: In 'Ethics' he distinguishes some friendships which don't meet this requirement. Presumably true friendships survive all vicissitudes (except betrayal), but that makes such things fairly rare.
23. Ethics / F. Existentialism / 1. Existentialism
My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers]
     Full Idea: Philosophising, not knowing, brings me to myself. The helplessness to which philosophising reduces me when I doubt its origin is an expressions of the helplessness of my self-being, and the reality of philosophising is the incipient upsurge of that being.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: I like the sound of 'philosophy as a way of life', and loosely aspire to it, but I'm still not sure what it means, other than a good way to pass the time. The idea that it leads to higher modes of being sounds a bit arrogant. But it is a good thing!
The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers]
     Full Idea: The struggle for Existenz has to do with ...with utter candour, with the elimination of all kinds of power and superiority, with the other's self-being as well as with my own.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: This is reminiscent of Aristotle's conclusion that democracy is the society which is most conducive to true friendship. I like Jaspers's idea that existential enquiry is a team game.
Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers]
     Full Idea: Once the question of 'freedom from what?' has been answered by shattering all objectivities, the question of 'freedom for what?' becomes all the more urgent.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: A quintessential existentialist idea, and its most appealing aspect. Message to all teenagers: don't get bogged down in what you are prevented from doing, but focus on what you can do. The first problem will melt away. (Unless you are in handcuffs....).
23. Ethics / F. Existentialism / 6. Authentic Self
Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers]
     Full Idea: Mundane being, the being we know, is general because it is generally valid for everyone. ...Existenz is never general, and thus not a case that might be subsumed as particular under a universal.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: I'm trying to visualise a mode of existence which would fulfil only me, answering to my unique nature, but it looks like a vain delusion. I may be a one-off combination, but I see all of my ingredients in various other people.
We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers]
     Full Idea: We want our philosophising to illuminate the free, original, communicative grasp on being that will let us meet the constant threat of solipsism or universalism in existence.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: This sounds like the political wing of existentialism: the aim to get the right relationship between citizens - not too withdrawn, and not swallowed in the crowd. Liberal democracy, I should think.
'Existenz' is the potential being, which I could have, and ought to have [Jaspers]
     Full Idea: There is the being which in the phenomenality of existence is not but can be, ought to be, and therefore decides in time whether it is in eternity. This being is myself as 'Existenz'.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: This is quintessentially existentialist, in its claim that my mode of being could be quite other than it is. Personally I aim to fulfil the being I've got. Play the cards you have been dealt.
23. Ethics / F. Existentialism / 7. Existential Action
Every decision I make moves towards or away from fulfilled Existenz [Jaspers]
     Full Idea: My Existenz, as a possibility, takes a step toward being or away from being, toward nothingness, in every choice or decision I make.
     From: Karl Jaspers (Philosophy [1932], vol.2)
     A reaction: The existential idea of action involves what you are, as well as what you do. There seems to be a paradox. My being is plastic, and can change enormously, so I should take responsibility for the change. But who is in charge of the changes?
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Man is intrinsically a civilized animal [Aristotle]
     Full Idea: It is an essential [kath' auto] property of man to be 'by nature a civilized animal'.
     From: Aristotle (Topics [c.331 BCE], 128b17)
     A reaction: I take this, along with man being intrinsically rational, to be the foundation of Aristotelian ethics. Given that we are civilized, self-evident criteria emerge for how to be good at it. A good person is, above all, a good citizen.
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
All water is the same, because of a certain similarity [Aristotle]
     Full Idea: Any water is said to be specifically the same as any other water because it has a certain similarity to it.
     From: Aristotle (Topics [c.331 BCE], 103a20)
     A reaction: (Cf. Idea 8153) It take this to be the hallmark of a natural kind, and we should not lose sight of it in the midst of discussions about rigid designation and essential identity. Tigers are only a natural kind insofar as they are indistinguishable.
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
A possible world contains a being of maximal greatness - which is existence in all worlds [Plantinga, by Davies,B]
     Full Idea: Plantinga reformulates Malcolm's argument thus: 1) There is a possible world in which there exists a being with maximal greatness, 2) A being has maximal greatness in a world only if it exists in every world.
     From: report of Alvin Plantinga (The Nature of Necessity [1974], p.213) by Brian Davies - Introduction to the Philosophy of Religion 4 'b Descartes'
     A reaction: This is only Plantinga's starting point, which says nothing about the nature of God, but only that this 'great' being exists in all worlds. I would like to know why it is a 'being' rather than a 'thing'. Malcolm says if it is possible it is necessary.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
'Being' and 'oneness' are predicated of everything which exists [Aristotle]
     Full Idea: 'Being' and 'oneness' are predicated of everything which exists.
     From: Aristotle (Topics [c.331 BCE], 121a18)
     A reaction: Is 'oneness' predicated of water? So existence always was a predicate, it seems, until Kant told us it wasn't. That existence is a quantifier, not a predicate, seems to be up for question again these days.