Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'fragments/reports'

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31 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
1542 Diogenes of Apollonia was the last natural scientist [Diogenes of Apollonia, by Simplicius]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
7578 I conceived it my task to create difficulties everywhere [Kierkegaard]
1. Philosophy / D. Nature of Philosophy / 8. Humour
22047 Wherever there is painless contradiction there is also comedy [Kierkegaard]
3. Truth / A. Truth Problems / 2. Defining Truth
22092 Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
3. Truth / A. Truth Problems / 3. Value of Truth
15999 Pure truth is for infinite beings only; I prefer endless striving for truth [Kierkegaard]
3. Truth / A. Truth Problems / 8. Subjective Truth
20313 The highest truth we can get is uncertainty held fast by an inward passion [Kierkegaard]
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 / 7. Indiscernible Objects
489 Each thing must be in some way unique [Diogenes of Apollonia]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
483 Start a thesis with something undisputable [Diogenes of Apollonia]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
1544 Perception must be an internal matter, because we can fail to perceive when we are preoccupied [Diogenes of Apollonia, by Theophrastus]
16. Persons / B. Nature of the Self / 2. Ethical Self
20742 The real subject is ethical, not cognitive [Kierkegaard]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
24042 The older Diogenes said the soul is air, made of the smallest particles [Diogenes of Apollonia]
23. Ethics / F. Existentialism / 1. Existentialism
7579 While big metaphysics is complete without ethics, personal philosophy emphasises ethics [Kierkegaard]
7581 Speculative philosophy loses the individual in a vast vision of humanity [Kierkegaard]
23. Ethics / F. Existentialism / 6. Authentic Self
20314 People want to lose themselves in movements and history, instead of being individuals [Kierkegaard]
7582 Becoming what one is is a huge difficulty, because we strongly aspire to be something else [Kierkegaard]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
5995 Diogenes of Apollonia offered the first teleological account of cosmology [Diogenes of Apollonia, by Robinson,TM]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
488 Air is divine, because it is in and around everything, and arranges everything [Diogenes of Apollonia]
484 Everything is ultimately a variation of one underlying thing [Diogenes of Apollonia]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
486 Plants and animals can only come into existence if something fixes their species [Diogenes of Apollonia]
485 Things must retain their essential nature during change, or mixing would be impossible [Diogenes of Apollonia]
28. God / A. Divine Nature / 2. Divine Nature
7586 God does not think or exist; God creates, and is eternal [Kierkegaard]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
20312 God cannot be demonstrated objectively, because God is a subject, only existing inwardly [Kierkegaard]
28. God / C. Attitudes to God / 2. Pantheism
7580 Pantheism destroys the distinction between good and evil [Kierkegaard]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
7583 Faith is the highest passion in the sphere of human subjectivity [Kierkegaard]
7584 Without risk there is no faith [Kierkegaard]