Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Letters to Hegel' and 'fragments/reports'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
2666 Carneades' pinnacles of philosophy are the basis of knowledge (the criterion of truth) and the end of appetite (good) [Carneades, by Cicero]
3. Truth / B. Truthmakers / 10. Making Future Truths
21390 Future events are true if one day we will say 'this event is happening now' [Carneades]
21672 We say future things are true that will possess actuality at some following time [Carneades, by Cicero]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
9. Objects / F. Identity among Objects / 6. Identity between Objects
15825 Carneades denied the transitivity of identity [Carneades, by Chisholm]
10. Modality / A. Necessity / 3. Types of Necessity
21389 Carneades distinguished logical from causal necessity, when talking of future events [Long on Carneades]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
22073 The basis of philosophy is the Self prior to experience, where it is the essence of freedom [Schelling]
16. Persons / F. Free Will / 2. Sources of Free Will
21671 Voluntary motion is intrinsically within our power, and this power is its cause [Carneades, by Cicero]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
21391 Some actions are within our power; determinism needs prior causes for everything - so it is false [Carneades, by Cicero]
16. Persons / F. Free Will / 6. Determinism / b. Fate
21674 Even Apollo can only foretell the future when it is naturally necessary [Carneades, by Cicero]
22. Metaethics / B. Value / 2. Values / i. Self-interest
7398 Carneades said that after a shipwreck a wise man would seize the only plank by force [Carneades, by Tuck]
25. Social Practice / D. Justice / 1. Basis of justice
21392 People change laws for advantage; either there is no justice, or it is a form of self-injury [Carneades, by Lactantius]