Combining Philosophers

All the ideas for Cleanthes, Keith Hossack and Peter Goldie

expand these ideas     |    start again     |     specify just one area for these philosophers


67 ideas

1. Philosophy / D. Nature of Philosophy / 4. Divisions of Philosophy
Six parts: dialectic, rhetoric, ethics, politics, physics, theology [Cleanthes, by Diog. Laertius]
2. Reason / A. Nature of Reason / 5. Objectivity
The personal view can still be objective, so I call sciences 'impersonal', rather than objective [Goldie]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
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]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Bodies interact with other bodies, and cuts cause pain, and shame causes blushing, so the soul is a body [Cleanthes, by Nemesius]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The soul suffers when the body hurts, creates redness from shame, and pallor from fear [Cleanthes]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
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
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]
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]
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 / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
27. Natural Reality / G. Biology / 3. Evolution
Our capabilities did not all evolve during the hunter gathering period [Goldie]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The ascending scale of living creatures requires a perfect being [Cleanthes, by Tieleman]