Combining Texts

All the ideas for 'fragments/reports', 'The Second Coming' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

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


20 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]
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
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
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 / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
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]