Combining Texts

All the ideas for 'Grundgesetze der Arithmetik 1 (Basic Laws)', 'On the Nature of Truth and Falsehood' and 'The Second Coming'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophers should interpret the world, by expressing its possibilities [Berardi]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
For Russell, both propositions and facts are arrangements of objects, so obviously they correspond [Horwich on Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Nothingness only exists in consciousness [Berardi]
16. Persons / F. Free Will / 5. Against Free Will
The delusion of free will brings a sense of guilt [Berardi]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
19. Language / D. Propositions / 6. Propositions Critique
In 1906, Russell decided that propositions did not, after all, exist [Russell, by Monk]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
American white men trusted the philosophy of winning, and then discovered losing [Berardi]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Community is now a nostalgic memory, which no longer exists [Berardi]
24. Political Theory / D. Ideologies / 9. Communism
Communism failed to unite western workers with the oppressed of the south [Berardi]
24. Political Theory / D. Ideologies / 11. Capitalism
The economy has replaced medieval theocracy at the centre of our society [Berardi]
24. Political Theory / D. Ideologies / 14. Nationalism
Western workers turn to nationalism, to avert the effects of globalisation [Berardi]