Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Ars Magna' and 'Confessions'

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30 ideas

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 / A. Overview of Logic / 2. History of Logic
19369 Lull's combinatorial art would articulate all the basic concepts, then show how they combine [Lull, by Arthur,R]
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 / A. Nature of Existence / 2. Types of Existence
16588 I prefer a lack of form to mean non-existence, than to think of some quasi-existence [Augustine]
7. Existence / D. Theories of Reality / 1. Ontologies
22979 Three main questions seem to be whether a thing is, what it is, and what sort it is [Augustine]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
22977 I can distinguish different smells even when I am not experiencing them [Augustine]
22982 Why does joy in my mind make me happy, but joy in my memory doesn't? [Augustine]
22981 Mind and memory are the same, as shown in 'bear it in mind' or 'it slipped from mind' [Augustine]
22980 Memory contains innumerable principles of maths, as well as past sense experiences [Augustine]
22983 We would avoid remembering sorrow or fear if that triggered the emotions afresh [Augustine]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
22978 Memory is so vast that I cannot recognise it as part of my mind [Augustine]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
22984 Without memory I could not even speak of myself [Augustine]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
5982 If the future does not exist, how can prophets see it? [Augustine]
18. Thought / B. Mechanics of Thought / 5. Mental Files
22976 Memories are preserved separately, according to category [Augustine]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
22985 Everyone wants happiness [Augustine]
27. Natural Reality / D. Time / 1. Nature of Time / c. Idealist time
5984 Maybe time is an extension of the mind [Augustine]
22888 To be aware of time it can only exist in the mind, as memory or anticipation [Augustine, by Bardon]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
5980 How can ten days ahead be a short time, if it doesn't exist? [Augustine]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
5979 If the past is no longer, and the future is not yet, how can they exist? [Augustine]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
5981 The whole of the current year is not present, so how can it exist? [Augustine]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
5978 I know what time is, until someone asks me to explain it [Augustine]
27. Natural Reality / D. Time / 2. Passage of Time / h. Change in time
5983 I disagree with the idea that time is nothing but cosmic movement [Augustine]
27. Natural Reality / E. Cosmology / 3. The Beginning
5977 Heaven and earth must be created, because they are subject to change [Augustine]
28. God / A. Divine Nature / 3. Divine Perfections
19371 Nine principles of God: goodness, greatness, eternity, power, wisdom, will, virtue, truth and glory [Lull, by Arthur,R]
28. God / A. Divine Nature / 5. God and Time
22887 If God existed before creation, why would a perfect being desire to change things? [Augustine, by Bardon]
5976 If God is outside time in eternity, can He hear prayers? [Augustine]