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All the ideas for 'Grundgesetze der Arithmetik 2 (Basic Laws)', 'Mathematical Truth' and 'The Emotions'

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49 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
The personal view can still be objective, so I call sciences 'impersonal', rather than objective [Goldie]
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]
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]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]
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]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
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]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]
The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
We know other's emotions by explanation, contagion, empathy, imagination, or sympathy [Goldie]
Empathy and imagining don't ensure sympathy, and sympathy doesn't need them [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
'Having an emotion' differs from 'being emotional' [Goldie]
Unlike moods, emotions have specific objects, though the difference is a matter of degree [Goldie]
Emotional intentionality as belief and desire misses out the necessity of feelings [Goldie]
A long lasting and evolving emotion is still seen as a single emotion, such as love [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / b. Types of emotion
Some Aborigines have fifteen different words for types of fear [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Emotional responses can reveal to us our values, which might otherwise remain hidden [Goldie]
If we have a 'feeling towards' an object, that gives the recognition a different content [Goldie]
When actions are performed 'out of' emotion, they appear to be quite different [Goldie]
It is best to see emotions holistically, as embedded in a person's life narrative [Goldie]
If emotions are 'towards' things, they can't be bodily feelings, which lack aboutness [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / d. Emotional feeling
Moods can focus as emotions, and emotions can blur into moods [Goldie]
If reasons are seen impersonally (as just causal), then feelings are an irrelevant extra [Goldie]
We have feelings of which we are hardly aware towards things in the world [Goldie]
An emotion needs episodes of feeling, but not continuously [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
Emotions are not avocado pears, with a rigid core and changeable surface [Goldie]
A basic emotion is the foundation of a hierarchy, such as anger for types of annoyance [Goldie]
Early Chinese basic emotions: joy, anger, sadness, fear, love, disliking, and liking [Goldie]
Cross-cultural studies of facial expressions suggests seven basic emotions [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Some emotions are direct responses, and neither rational nor irrational [Goldie]
Emotional thought is not rational, but it can be intelligible [Goldie]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
Learning an evaluative property like 'dangerous' is also learning an emotion [Goldie]
We call emotions 'passions' because they are not as controlled as we would like [Goldie]
Emotional control is hard, but we are responsible for our emotions over long time periods [Goldie]
Emotions are not easily changed, as new knowledge makes little difference, and akrasia is possible [Goldie]
Emotional control is less concerned with emotional incidents, and more with emotional tendencies [Goldie]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Akrasia can be either overruling our deliberation, or failing to deliberate [Goldie]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Justifying reasons say you were right; excusing reasons say your act was explicable [Goldie]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Character traits are both possession of and lack of dispositions [Goldie]
We over-estimate the role of character traits when explaining behaviour [Goldie]
Psychologists suggest we are muddled about traits, and maybe they should be abandoned [Goldie]
27. Natural Reality / G. Biology / 3. Evolution
Our capabilities did not all evolve during the hunter gathering period [Goldie]