Combining Texts

All the ideas for 'The Value of Science', 'Elements of Geometry' and 'The Emotions'

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47 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 / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
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
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]
'Having an emotion' differs from 'being emotional' [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
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]
Moods can focus as emotions, and emotions can blur into moods [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]
Early Chinese basic emotions: joy, anger, sadness, fear, love, disliking, and liking [Goldie]
Cross-cultural studies of facial expressions suggests seven basic emotions [Goldie]
A basic emotion is the foundation of a hierarchy, such as anger for types of annoyance [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]
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]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]
27. Natural Reality / G. Biology / 3. Evolution
Our capabilities did not all evolve during the hunter gathering period [Goldie]