Combining Texts

All the ideas for 'Later Letters to Dedekind', 'Logicism Revisited' and 'Logological Fragments I'

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19 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
19579 The history of philosophy is just experiments in how to do philosophy [Novalis]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
19583 Philosophy only begins when it studies itself [Novalis]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17831 Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10065 Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
10061 The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10050 A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
10049 Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
5. Theory of Logic / L. Paradox / 2. Aporiai
19581 A problem is a solid mass, which the mind must break up [Novalis]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
19584 Whoever first counted to two must have seen the possibility of infinite counting [Novalis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
10058 No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10063 Formalism is a bulwark of logical positivism [Musgrave]
10062 Formalism seems to exclude all creative, growing mathematics [Musgrave]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
22025 Novalis thought self-consciousness cannot disclose 'being', because we are temporal creatures [Novalis, by Pinkard]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22067 Poetry is true idealism, and the self-consciousness of the universe [Novalis]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10060 Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
19. Language / F. Communication / 4. Private Language
19585 Every person has his own language [Novalis]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
19582 Morality and philosophy are mutually dependent [Novalis]
23. Ethics / F. Existentialism / 7. Existential Action
22027 Life isn't given to us like a novel - we write the novel [Novalis]
25. Social Practice / E. Policies / 5. Education / c. Teaching
19580 If the pupil really yearns for the truth, they only need a hint [Novalis]