Combining Philosophers

All the ideas for Rayo,A/Uzquiasno,G, B Russell/AN Whitehead and Simon Critchley

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


56 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy begins in disappointment, notably in religion and politics [Critchley]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Humour can give a phenomenological account of existence, and point to change [Critchley]
Humour is practically enacted philosophy [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
If infatuation with science leads to bad scientism, its rejection leads to obscurantism [Critchley]
Scientism is the view that everything can be explained causally through scientific method [Critchley]
Science gives us an excessively theoretical view of life [Critchley]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
To meet the division in our life, try the Subject, Nature, Spirit, Will, Power, Praxis, Unconscious, or Being [Critchley]
The French keep returning, to Hegel or Nietzsche or Marx [Critchley]
German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley]
Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley]
Continental philosophy fights the threatened nihilism in the critique of reason [Critchley]
Continental philosophy is based on critique, praxis and emancipation [Critchley]
Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology is a technique of redescription which clarifies our social world [Critchley]
Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]
We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead]
Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend]
Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes]
'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The ramified theory of types used propositional functions, and covered bound variables [Russell/Whitehead, by George/Velleman]
The Russell/Whitehead type theory was limited, and was not really logic [Friend on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
In 'Principia Mathematica', logic is exceeded in the axioms of infinity and reducibility, and in the domains [Bernays on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Russell and Whitehead consider the paradoxes to indicate that we create mathematical reality [Russell/Whitehead, by Friend]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
To avoid vicious circularity Russell produced ramified type theory, but Ramsey simplified it [Russell/Whitehead, by Shapiro]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
The multiple relations theory says assertions about propositions are about their ingredients [Russell/Whitehead, by Linsky,B]
A judgement is a complex entity, of mind and various objects [Russell/Whitehead]
The meaning of 'Socrates is human' is completed by a judgement [Russell/Whitehead]
The multiple relation theory of judgement couldn't explain the unity of sentences [Morris,M on Russell/Whitehead]
Only the act of judging completes the meaning of a statement [Russell/Whitehead]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Interesting art is always organised around ethical demands [Critchley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Food first, then ethics [Critchley]
23. Ethics / F. Existentialism / 2. Nihilism
Perceiving meaninglessness is an achievement, which can transform daily life [Critchley]
24. Political Theory / D. Ideologies / 2. Anarchism
The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
24. Political Theory / D. Ideologies / 3. Conservatism
Belief that humans are wicked leads to authoritarian politics [Critchley]