Combining Philosophers

All the ideas for Frank Close, Robert C. Solomon and E Reck / M Price

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62 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom needs both thought and passion, with each reflecting on the other [Solomon]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophy is creating an intellectual conceptual structure for life [Solomon]
2. Reason / A. Nature of Reason / 1. On Reason
Reason is actually passions, guided by perspicacious reflection [Solomon]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
We often trust our intuitions as rational, despite their lack of reflection [Solomon]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Distinguishing reason from passion is based on an archaic 'faculty' theory [Solomon]
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]
Emotions are judgements about ourselves, and our place in the world [Solomon]
Emotions are defined by their objects [Solomon]
The heart of an emotion is its judgement of values and morality [Solomon]
Emotions can be analysed under fifteen headings [Solomon]
18. Thought / A. Modes of Thought / 3. Emotions / b. Types of emotion
Some emotions are externally directed, others internally [Solomon]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
It is only our passions which give our lives meaning [Solomon]
Which emotions we feel depends on our sense of our own powers [Solomon]
The passions are subjective, concerning what is important to me, rather than facts [Solomon]
Emotions are strategies for maximising our sense of dignity and self-esteem [Solomon]
Passions exist as emotions, moods and desires, which all generate meaning [Solomon]
The Myth of the Passions says they are irrational, uncontrolled and damaging [Solomon]
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]
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
There are no 'basic' emotions, only socially prevalent ones [Solomon]
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]
Dividing ourselves into confrontational reason and passion destroys our harmonious whole [Solomon]
The supposed irrationality of our emotions is often tactless or faulty expression of them [Solomon]
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]
22. Metaethics / B. Value / 2. Values / g. Love
Lovers adopt the interests of their beloved, rather than just valuing them [Solomon]
23. Ethics / F. Existentialism / 2. Nihilism
'Absurdity' is just the result of our wrong choices in life [Solomon]
24. Political Theory / D. Ideologies / 1. Ideology
Ideologies are mythologies which guide our actions [Solomon]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / b. Heat
Work degrades into heat, but not vice versa [Close]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
First Law: energy can change form, but is conserved overall [Close]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Third Law: total order and minimum entropy only occurs at absolute zero [Close]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
All motions are relative and ambiguous, but acceleration is the same in all inertial frames [Close]
The electric and magnetic are tightly linked, and viewed according to your own motion [Close]
27. Natural Reality / B. Modern Physics / 1. Relativity / b. General relativity
The general relativity equations relate curvature in space-time to density of energy-momentum [Close]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
Photon exchange drives the electro-magnetic force [Close]
Electric fields have four basic laws (two by Gauss, one by Ampère, one by Faraday) [Close]
Light isn't just emitted in quanta called photons - light is photons [Close]
In general relativity the energy and momentum of photons subjects them to gravity [Close]
Electro-magnetic waves travel at light speed - so light is electromagnetism! [Close]
In QED, electro-magnetism exists in quantum states, emitting and absorbing electrons [Close]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
Quantum fields contain continual rapid creation and disappearance [Close]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons get their mass by interaction with the Higgs field [Close]
Dirac showed how electrons conform to special relativity [Close]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Modern theories of matter are grounded in heat, work and energy [Close]
27. Natural Reality / B. Modern Physics / 5. Unified Models / a. Electro-weak unity
The Higgs field is an electroweak plasma - but we don't know what stuff it consists of [Close]
27. Natural Reality / C. Space / 6. Space-Time
Space-time is indeterminate foam over short distances [Close]