Combining Texts

All the ideas for 'Consciousness: matter becomes imagination', 'The General Theory of Employment' and 'Principia Mathematica'

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48 ideas

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 / 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]
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]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
Prior to language, concepts are universals created by self-mapping of brain activity [Edelman/Tononi]
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]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Cultures have a common core of colour naming, based on three axes of colour pairs [Edelman/Tononi]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
A conscious human being rapidly reunifies its mind after any damage to the brain [Edelman/Tononi]
15. Nature of Minds / A. Nature of Mind / 8. Brain
A conscious state endures for about 100 milliseconds, known as the 'specious present' [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness is a process (of neural interactions), not a location, thing, property, connectivity, or activity [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
The three essentials of conscious experience are privateness, unity and informativeness [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
Consciousness can create new axioms, but computers can't do that [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness arises from high speed interactions between clusters of neurons [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Dreams and imagery show the brain can generate awareness and meaning without input [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Physicists see information as a measure of order, but for biologists it is symbolic exchange between animals [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
The sensation of red is a point in neural space created by dimensions of neuronal activity [Edelman/Tononi]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
The self is founded on bodily awareness centred in the brain stem [Edelman/Tononi]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
A sense of self begins either internally, or externally through language and society [Edelman/Tononi]
16. Persons / F. Free Will / 5. Against Free Will
Brains can initiate free actions before the person is aware of their own decision [Edelman/Tononi]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Consciousness is a process, not a thing, as it maintains unity as its composition changes [Edelman/Tononi]
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]
18. Thought / B. Mechanics of Thought / 3. Modularity of Mind
Brain complexity balances segregation and integration, like a good team of specialists [Edelman/Tononi]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Information-processing views of the brain assume the existence of 'information', and dubious brain codes [Edelman/Tononi]
18. Thought / C. Content / 6. Broad Content
Consciousness involves interaction with persons and the world, as well as brain functions [Edelman/Tononi]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Concepts and generalisations result from brain 'global mapping' by 'reentry' [Edelman/Tononi, by Searle]
Concepts arise when the brain maps its own activities [Edelman/Tononi]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Systems that generate a sense of value are basic to the primitive brain [Edelman/Tononi]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Laissez-faire individualism doesn't work, especially in troublesome times [Keynes]