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All the ideas for 'A Puzzle about Belief', 'The Passions' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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39 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom needs both thought and passion, with each reflecting on the other [Solomon]
     Full Idea: Wisdom is a matter of living both thoughtfully and passionately, bringing understanding to bear on every passion and forcing every passion into the light of reflection.
     From: Robert C. Solomon (The Passions [1976], 3.4)
     A reaction: His main point is that passion is a key part of wisdom, and the idea that wisdom is cold and detached is quite false. Good point. At the very least, wise people must relate sympathetically to others.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophy is creating an intellectual conceptual structure for life [Solomon]
     Full Idea: Philosophy is conceptual sculpture, the shaping and developing of the intellectual structures within which we live our lives.
     From: Robert C. Solomon (The Passions [1976], Intro.1)
     A reaction: Nice. I tend to see philosophy as conceptual analysis (though creating new concepts doesn't quite fit that), but the vision of creating a huge conceptual sculpture sounds good. I would call it a system. (See my book, 'Natural Ideas'!).
2. Reason / A. Nature of Reason / 1. On Reason
Reason is actually passions, guided by perspicacious reflection [Solomon]
     Full Idea: What is called 'reason' is the passions enlightened, 'illuminated' by reflection and supported by a perspicacious deliberation that the emotions in their urgency normally excluded.
     From: Robert C. Solomon (The Passions [1976], Intro.4)
     A reaction: To suggest that reason more or less is emotions strikes me as missing the point of 'perspicacious', which takes in facts outside our emotional world. We excitedly climb a cliff, then stop when we see the rocks are crumbling.
2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
     Full Idea: Frege later became fastidious about definitions, and demanded that they must provide for every possible case, and that no function is properly determined unless its value is fixed for every conceivable object as argument.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903]) by Crispin Wright - Frege's Concept of Numbers as Objects 3.xiv
     A reaction: Presumably definitions come in degrees of completeness, but it seems harsh to describe a desire for the perfect definition as 'fastidious', especially if we are talking about mathematics, rather than defining 'happiness'.
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
     Full Idea: Given the reference (bedeutung) of an expression and a part of it, obviously the reference of the remaining part is not always determined. So we may not define a symbol or word by defining an expression in which it occurs, whose remaining parts are known
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §66)
     A reaction: Dummett cites this as Frege's rejection of contextual definitions, which he had employed in the Grundlagen. I take it not so much that they are wrong, as that Frege decided to set the bar a bit higher.
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
     Full Idea: Only what is logically complex can be defined; what is simple can only be pointed to.
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §180), quoted by Harold Hodes - Logicism and Ontological Commits. of Arithmetic p.137
     A reaction: Frege presumably has in mind his treasured abstract objects, such as cardinal numbers. It is hard to see how you could 'point to' anything in the phenomenal world that had atomic simplicity. Hodes calls this a 'desperate Kantian move'.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
     Full Idea: The cardinals and the reals are completely disjoint domains. The cardinal numbers answer the question 'How many objects of a given kind are there?', but the real numbers are for measurement, saying how large a quantity is compared to a unit quantity.
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §157), quoted by Michael Dummett - Frege philosophy of mathematics Ch.19
     A reaction: We might say that cardinals are digital and reals are analogue. Frege is unusual in totally separating them. They map onto one another, after all. Cardinals look like special cases of reals. Reals are dreams about the gaps between cardinals.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
     Full Idea: Frege fixed on construing real numbers as ratios of quantities (in agreement with Newton).
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903]) by Michael Dummett - Frege philosophy of mathematics Ch.20
     A reaction: If 3/4 is the same real number as 6/8, which is the correct ratio? Why doesn't the square root of 9/16 also express it? Why should irrationals be so utterly different from rationals? In what sense are they both 'numbers'?
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
     Full Idea: For Frege, in 'Grundgesetze', a number is a class of classes of the same cardinality.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903]) by Michael Dummett - Frege Philosophy of Language (2nd ed) Ch.14
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
     Full Idea: The inconsistency of Grundgesetze was only a minor flaw. Its fundamental flaw was its inability to account for the way in which the senses of number terms are determined. It leaves the reference-magnetic nature of the standard numberer a mystery.
     From: comment on Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903]) by Harold Hodes - Logicism and Ontological Commits. of Arithmetic p.139
     A reaction: A point also made by Hofweber. As a logician, Frege was only concerned with the inferential role of number terms, and he felt he had captured their logical form, but it is when you come to look at numbers in natural language that he seem in trouble.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
     Full Idea: Frege's three main objections to radical formalism are that it cannot account for the application of mathematics, that it confuses a formal theory with its metatheory, and it cannot explain an infinite sequence.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §86-137) by Michael Dummett - Frege philosophy of mathematics
     A reaction: The application is because we don't design maths randomly, but to be useful. The third objection might be dealt with by potential infinities (from formal rules). The second objection sounds promising.
Only applicability raises arithmetic from a game to a science [Frege]
     Full Idea: It is applicability alone which elevates arithmetic from a game to the rank of a science.
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §91), quoted by Stewart Shapiro - Thinking About Mathematics 6.1.2
     A reaction: This is the basic objection to Formalism. It invites the question of why it is applicable, which platonists like Frege don't seem to answer (though Plato himself has reality modelled on the Forms). This is why I like structuralism.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
     Full Idea: The first demand of logic is of a sharp boundary.
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §160), quoted by Michael Dummett - Frege philosophy of mathematics Ch.22
     A reaction: Nothing I have read about vagueness has made me doubt Frege's view of this, although precisification might allow you to do logic with vague concepts without having to finally settle where the actual boundaries are.
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
We often trust our intuitions as rational, despite their lack of reflection [Solomon]
     Full Idea: We trust certain rational 'intuitions' in ourselves which dispense with reflection but seem to follow an indisputable logic. (note: it is thought ineffable because reflection is the paradigm of rationality. It is no less rational than reflection).
     From: Robert C. Solomon (The Passions [1976], 6.4)
     A reaction: [compressed] Solomon uses the example to support that emotion is part of rationality. Since this view of intuition is more or less mine (that intuition can be knowledge, when the justification is obscure), it seems to support his claim.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Distinguishing reason from passion is based on an archaic 'faculty' theory [Solomon]
     Full Idea: The distinction between reason and passion is based on an archaic 'faculty' psychology of the human soul.
     From: Robert C. Solomon (The Passions [1976], Intro.2)
     A reaction: I like faculties, for philosophical purposes, as explanatory tools to account for our metaphysical and conceptual framework, but this point is well made. The danger is that we impose sharp divisions, where reality is more complex.
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
I say bodily chemistry and its sensations have nothing to do with emotions [Solomon]
     Full Idea: I shall be making the claim (sujectively) that the chemistry of the body and the sensations caused by that chemistry have nothing to do with the emotions.
     From: Robert C. Solomon (The Passions [1976], 4.1)
     A reaction: Surely an unexpected stabbing pain causes fear? Isn't pain supposed to trigger appropriate emotions? That is not to say that emotions are a feature of body chemistry.
Emotions are judgements about ourselves, and our place in the world [Solomon]
     Full Idea: An emotion is a basic judgement about our Selves and our place in the world, the projection of the values and ideals, structures and mythologies
     From: Robert C. Solomon (The Passions [1976], 5.3)
     A reaction: Solomon's main theory. What about the Frege-Geach problem - that I feel emotions (and judgements) about fictions and remote events, in which my personal concerns and involvement are zero? Presumably these emotions are parasitic on his primary type?
Emotions are defined by their objects [Solomon]
     Full Idea: Direction, scope and focus set the stage, but the specific object is what defines the emotion.
     From: Robert C. Solomon (The Passions [1976], 7.3)
     A reaction: This is presumably the main distinction between an emotion and a mood. He emphasises that the objects are subjective, rather than factual.
The heart of an emotion is its judgement of values and morality [Solomon]
     Full Idea: The heart of every emotion is its value judgements, its appraisals of gain and loss, its indictment of offences and its praise of virtue, its often Manichean judgement of 'good' and 'evil'.
     From: Robert C. Solomon (The Passions [1976], 7.6)
     A reaction: He adds blame and excuse. Some of our strongest emotions can just be identifications, rather than judgements, as when we learn of someone else's triumph or disaster. On the whole I agree, though. This is important for Aristotelian virtue theory.
Emotions can be analysed under fifteen headings [Solomon]
     Full Idea: Emotions can be analysed by direction, scope/focus, object, criteria, status, evaluations, responsibility, intersubjectivity, distance, mythology, desire, power, strategy.
     From: Robert C. Solomon (The Passions [1976], 8)
     A reaction: These are the headings Solomon actually applies in his breakdown of most of the main emotions. See his book for explanations of each of them. If people say philosophy makes no progress, I'd at least point to helpful thinking of this kind.
18. Thought / A. Modes of Thought / 3. Emotions / b. Types of emotion
Some emotions are externally directed, others internally [Solomon]
     Full Idea: 'Outer-directed' emotions (such as fear) are about particular situations, objects, or other people. …The 'inner-directed' emotions (such as vanity or regret) take one's Self as their focal point.
     From: Robert C. Solomon (The Passions [1976], 7.1)
     A reaction: This is Solomon's own distinction. Some of the emotions he cites, such as vanity, seem to me more like long term virtues or vices, rather than emotions. He did say, though, that you can have emotions without feeling, such as long-term hate.
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
It is only our passions which give our lives meaning [Solomon]
     Full Idea: It is our passions, and our passions alone, which provide our lives with meaning.
     From: Robert C. Solomon (The Passions [1976], Pref)
     A reaction: This presumably entails that the lives of plants have no meaning. It also seems to be rather egotistical, since it is not clear why anyone else's life should have meaning for me, if I don't directly experience their passions. Interesting, though.
Which emotions we feel depends on our sense of our own powers [Solomon]
     Full Idea: An emotion depends on an estimation of our own power. If a lover is jealous they welcome confrontation, but if they are just envious they assume impotence from the start.
     From: Robert C. Solomon (The Passions [1976], 7.12)
     A reaction: This seems particularly true of politics, where the possibility (or not) of influencing events makes a huge difference. We can picture a huge variety of emotions when a fight breaks out in public.
The passions are subjective, concerning what is important to me, rather than facts [Solomon]
     Full Idea: The passions are uniquely subjective, although they sometimes pretend to have a certain objective status. They are not concerned with the world, but with my world. They are not concerned with 'the facts', but with what is important.
     From: Robert C. Solomon (The Passions [1976], Intro.5)
     A reaction: Values pick out what is 'important'. This idea sums up Solomon's rather solipsistic view of emotions. I accept that emotions are responses, rather than objective judgements, but there is objectivity in their social dimension. Why care about politics?
Emotions are strategies for maximising our sense of dignity and self-esteem [Solomon]
     Full Idea: Every emotion is a strategy, a purposive attempt to structure our world in such a way as to maximise our sense of personal dignity and self-esteem.
     From: Robert C. Solomon (The Passions [1976], Pref)
     A reaction: This is the main thesis of Solomon's book. There doesn't seem to be much to admire in what he takes to be our chief motivation. I would put a much more social spin on it - that our underlying urge is not self-promotion, but to fit into a community.
Passions exist as emotions, moods and desires, which all generate meaning [Solomon]
     Full Idea: There are three fundamental species passions - emotions, moods, and desires. …What all passions have in common is their ability to bestow meaning to the circumstances of our lives.
     From: Robert C. Solomon (The Passions [1976], 3.2)
     A reaction: Moods are said to be 'generalised emotions', where emotions are about something, and desires add objectives. Solomon criticises rigid divisions between mental faculties and states, but it is hard to disagree with this distinction.
The Myth of the Passions says they are irrational, uncontrolled and damaging [Solomon]
     Full Idea: The Myth of the Passions says emotions are irrational forces beyond our control, disruptive and stupid, unthinking and counterproductive, against our 'better interests', and often ridiculous.
     From: Robert C. Solomon (The Passions [1976], 6.4)
     A reaction: The Myth is very unlikely to be correct, for evolutionary reasons. How could there be a selection for a mental feature which distorts truths and leads to dangerous misjudgements? Most emotions motivate us to act successfully. So why do some run wild?
18. Thought / A. Modes of Thought / 3. Emotions / d. Emotional feeling
Feeling is a superficial aspect of emotion, and may be indeterminate, or even absent [Solomon]
     Full Idea: Feeling is the ornamentation of emotion, not its essence. ...For example, what is the difference in feeling between embarrassment and shame? …We may also experience an emotion like subdued anger or envy with no feeling.
     From: Robert C. Solomon (The Passions [1976], 4.2)
     A reaction: This is very persuasive, and supports the idea that what matters in an emotion is its content, rather than its phenomenology. He adds later that we are often mistaken about our own emotions.
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
There are no 'basic' emotions, only socially prevalent ones [Solomon]
     Full Idea: There are no 'basic' emotions, only those emotions which are prevalent in a particular society. This reduction to a small set makes it impossible to appreciate the richness of our emotional lives.
     From: Robert C. Solomon (The Passions [1976], 8)
     A reaction: He cites Descartes as a culprit, and John Watson's famous list of fear, dependency and rage. I think Solomon is probably right. He suggests that the lists are usually individualistic and negative. Individuals may have their private basics!
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
It is reason which needs the anchorage of passions, rather than vice versa [Solomon]
     Full Idea: It is not the passions who require the controls and rationalisations of reason. Rather, it is reason that requires the anchorage and earthy wisdom of the passions.
     From: Robert C. Solomon (The Passions [1976], Pref)
     A reaction: I like the second half of this. We don't just follow the winds of arguments; we decide into which of the many conflicting winds we should steer the rational arguments, and that needs passions. Only a fool doesn't rationally control their passions.
Dividing ourselves into confrontational reason and passion destroys our harmonious whole [Solomon]
     Full Idea: To divide the soul into reason and passion …divides us against ourselves, forcing us each to be defensively half a person, instead of a harmonious whole.
     From: Robert C. Solomon (The Passions [1976], 2.3)
     A reaction: This is the best aspect of Solomon's book. I'm not sure, though, how this works in practice. Should I allow the winds of emotion to alter the course of my reasoning, or stunt my feelings by always insisting that reason plays a part? That's too dualist!
The supposed irrationality of our emotions is often tactless or faulty expression of them [Solomon]
     Full Idea: What is often called the 'irrationality' of our emotions is rather the faulty timing or inept choice of their expressions.
     From: Robert C. Solomon (The Passions [1976], 6.4)
     A reaction: The irrationality can be pretty obvious when having a tantrum over trivia, or resenting some tiny slight, or falling in love with a dead film star. That said, his point is well made.
18. Thought / B. Mechanics of Thought / 5. Mental Files
Puzzled Pierre has two mental files about the same object [Recanati on Kripke]
     Full Idea: In Kripke's puzzle about belief, the subject has two distinct mental files about one and the same object.
     From: comment on Saul A. Kripke (A Puzzle about Belief [1979]) by François Recanati - Mental Files 17.1
     A reaction: [Pierre distinguishes 'London' from 'Londres'] The Kripkean puzzle is presented as very deep, but I have always felt there was a simple explanation, and I suspect that this is it (though I will leave the reader to think it through, as I'm very busy…).
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
     Full Idea: From geometry we retain the interpretation of a real number as a ratio of quantities or measurement-number; but in more recent times we detach it from geometrical quantities, and from all particular types of quantity.
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §159), quoted by Michael Dummett - Frege philosophy of mathematics
     A reaction: Dummett glosses the 'recent' version as by Cantor and Dedekind in 1872. This use of 'detach' seems to me startlingly like the sort of psychological abstractionism which Frege was so desperate to avoid.
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
     Full Idea: If abstracting from the difference between my house and my neighbour's, I were to regard both houses as mine, the defect of the abstraction would soon be made clear. It may, though, be possible to obtain a concept by means of abstraction...
     From: Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903], §99)
     A reaction: Note the important concession at the end, which shows Frege could never deny the abstraction process, despite all the modern protests by Geach and Dummett that he totally rejected it.
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Emotions are our life force, and the source of most of our values [Solomon]
     Full Idea: Emotions are the life force of the soul, the source of most of our values (not all: there is always hunger, thirst, and fatigue).
     From: Robert C. Solomon (The Passions [1976], Intro.4)
     A reaction: I am beginning to worry that Solomon's account is too individual and subjective. My personal values may derive from my emotions, but I think human and social values are based much more on objective observations and facts. We are social, not solipsists.
22. Metaethics / B. Value / 2. Values / g. Love
Lovers adopt the interests of their beloved, rather than just valuing them [Solomon]
     Full Idea: It is often said that love takes the interests of the lover as being more important than one's own; but here again we would rather say that love takes the lovers interests as its own.
     From: Robert C. Solomon (The Passions [1976], 7.9)
     A reaction: This is because he sees emotions as almost entirely self-centred, and almost never altruistic. To me the evolutionary picture suggest a more social view. Many people want the lives of their ex- to go well, without knowing their new interests.
23. Ethics / F. Existentialism / 2. Nihilism
'Absurdity' is just the result of our wrong choices in life [Solomon]
     Full Idea: The 'absurdity of life' is nothing than our own unsatisfactory choices, typically of defensiveness and resentment, competition, and 'meaningless' routines.
     From: Robert C. Solomon (The Passions [1976], Pref)
     A reaction: He seems to have Camus particularly in mind. He sees love and co-operation as the cure. I sort of agree, but somewhere in all of our minds there lurks an abyss, with the good life looking like a distraction from it.
24. Political Theory / D. Ideologies / 1. Ideology
Ideologies are mythologies which guide our actions [Solomon]
     Full Idea: Mythologies become ideologies when we play a role in them, live in them, take action and take sides.
     From: Robert C. Solomon (The Passions [1976], 6.1)
     A reaction: This may well be a sceptical American attitude to ideology, since 'mythology' implies a fiction. But I think for most of us there exists the possibility of a good ideology, which correctly points us towards a better life. Dangerous things, though!