Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Max Weber and Feferman / Feferman

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24 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
There is no objectivity in social sciences - only viewpoints for selecting and organising data [Weber]
The results of social research can be true, and not just subjectively valid for one person [Weber]
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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
14. Science / D. Explanation / 1. Explanation / d. Explaining people
Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
We are disenchanted because we rely on science, which ignores values [Weber, by Boulter]
23. Ethics / D. Deontological Ethics / 2. Duty
The idea of duty in one's calling haunts us, like a lost religion [Weber]
24. Political Theory / C. Ruling a State / 1. Social Power
Domination is probable obedience by some group of persons [Weber]
24. Political Theory / D. Ideologies / 11. Capitalism
Acquisition and low consumption lead to saving, investment, and increased wealth [Weber]
When asceticism emerged from the monasteries, it helped to drive the modern economy [Weber]
Capitalism is not unlimited greed, and may even be opposed to greed [Weber]
Modern western capitalism has free labour, business separate from household, and book-keeping [Weber]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Punish the heretic, but be indulgent to the sinner [Weber]