Combining Philosophers

All the ideas for Eurytus, Lukes and Alex Orenstein

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30 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Unlike elementary logic, set theory is not complete [Orenstein]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein]
7. Existence / E. Categories / 3. Proposed Categories
Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein]
14. Science / B. Scientific Theories / 1. Scientific Theory
The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
People presume meanings exist because they confuse meaning and reference [Orenstein]
19. Language / C. Assigning Meanings / 3. Predicates
Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein]
19. Language / D. Propositions / 4. Mental Propositions
If two people believe the same proposition, this implies the existence of propositions [Orenstein]
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
Power can be exercised to determine a person's desires [Lukes]
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]
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]
27. Natural Reality / G. Biology / 1. Biology
Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]