Combining Philosophers

All the ideas for Lynch,MP/Glasgow,JM, Steven Lukes and Feferman / Feferman

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31 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman]
Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman]
Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman]
5. Theory of Logic / K. Features of Logics / 7. Decidability
'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman]
Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman]
7. Existence / C. Structure of Existence / 3. Levels of Reality
A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
7. Existence / D. Theories of Reality / 6. Physicalism
Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow]
The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow]
20. Action / A. Definition of Action / 1. Action Theory
There is collective action, where a trend is manifest, but is not attributable to individuals [Lukes]
24. Political Theory / C. Ruling a State / 1. Social Power
Hidden powers are the most effective [Lukes]
The pluralist view says that power is restrained by group rivalry [Lukes]
Power is a capacity, which may never need to be exercised [Lukes]
The two-dimensional view of power recognises the importance of controlling the agenda [Lukes]
One-dimensionsal power is behaviour in observable conflicts of interests [Lukes]
Political organisation brings some conflicts to the fore, and suppresses others [Lukes]
The evidence for the exertion of power need not involve a grievance of the powerless [Lukes]
Power is affecting a person in a way contrary to their interests [Lukes]
Power is the capacity of a social class to realise its interests [Lukes]
Supreme power is getting people to have thoughts and desires chosen by you [Lukes]
Power can be exercised to determine a person's desires [Lukes]
24. Political Theory / D. Ideologies / 1. Ideology
In the 1950s they said ideology is finished, and expertise takes over [Lukes]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberals take people as they are, and take their preferences to be their interests [Lukes]
24. Political Theory / D. Ideologies / 11. Capitalism
Anyone who thinks capitalism can improve their lives is endorsing capitalism [Lukes]