Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Plato on Parts and Wholes' and 'Philosophy'

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24 ideas

2. Reason / F. Fallacies / 7. Ad Hominem
15842 An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V]
3. Truth / A. Truth Problems / 4. Uses of Truth
20320 Truth is what unites, and the profound truths create a community [Jaspers]
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]
4. Formal Logic / G. Formal Mereology / 1. Mereology
15841 Mereology began as a nominalist revolt against the commitments of set theory [Harte,V]
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]
7. Existence / B. Change in Existence / 1. Nature of Change
15858 Traditionally, the four elements are just what persists through change [Harte,V]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
15848 Mereology treats constitution as a criterion of identity, as shown in the axiom of extensionality [Harte,V]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
15837 What exactly is a 'sum', and what exactly is 'composition'? [Harte,V]
15839 If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V]
15838 The problem with the term 'sum' is that it is singular [Harte,V]
16. Persons / F. Free Will / 2. Sources of Free Will
20323 Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers]
16. Persons / F. Free Will / 4. For Free Will
20322 I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers]
20. Action / C. Motives for Action / 4. Responsibility for Actions
20324 My freedom increases as I broaden my vision of possiblities and motives [Jaspers]
23. Ethics / F. Existentialism / 1. Existentialism
20318 My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers]
20321 The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers]
20325 Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers]
23. Ethics / F. Existentialism / 6. Authentic Self
20317 Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers]
20319 We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers]
20315 'Existenz' is the potential being, which I could have, and ought to have [Jaspers]
23. Ethics / F. Existentialism / 7. Existential Action
20316 Every decision I make moves towards or away from fulfilled Existenz [Jaspers]