Combining Texts

All the ideas for 'Against Coherence', 'Set Theory and Its Philosophy' and 'Letters from a Stoic'

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52 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom does not lie in books, and unread people can also become wise [Seneca]
1. Philosophy / A. Wisdom / 2. Wise People
Wise people escape necessity by willing it [Seneca]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims at happiness [Seneca]
What philosophy offers humanity is guidance [Seneca]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
That something is a necessary condition of something else doesn't mean it caused it [Seneca]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Even philosophers have got bogged down in analysing tiny bits of language [Seneca]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A relation is a set consisting entirely of ordered pairs [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
Priority is a modality, arising from collections and members [Potter]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Incoherence may be more important for enquiry than coherence [Olsson]
Coherence is the capacity to answer objections [Olsson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Mere agreement of testimonies is not enough to make truth very likely [Olsson]
Coherence is only needed if the information sources are not fully reliable [Olsson]
A purely coherent theory cannot be true of the world without some contact with the world [Olsson]
Extending a system makes it less probable, so extending coherence can't make it more probable [Olsson]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
To the four causes Plato adds a fifth, the idea which guided the event [Seneca]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
If everything can be measured, try measuring the size of a man's soul [Seneca]
19. Language / B. Reference / 1. Reference theories
Referring to a person, and speaking about him, are very different [Seneca]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Trouble in life comes from copying other people, which is following convention instead of reason [Seneca]
22. Metaethics / B. Value / 2. Values / d. Health
Humans acquired the concept of virtue from an analogy with bodily health and strength [Seneca, by Allen]
22. Metaethics / B. Value / 2. Values / e. Death
We know death, which is like before birth; ceasing to be and never beginning are the same [Seneca]
Living is nothing wonderful; what matters is to die well [Seneca]
It is as silly to lament ceasing to be as to lament not having lived in the remote past [Seneca]
22. Metaethics / B. Value / 2. Values / g. Love
Is anything sweeter than valuing yourself more when you find you are loved? [Seneca]
22. Metaethics / B. Value / 2. Values / i. Self-interest
Selfishness does not produce happiness; to live for yourself, live for others [Seneca]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
A man is as unhappy as he has convinced himself he is [Seneca]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Life is like a play - it is the quality that matters, not the length [Seneca]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
We are scared of death - except when we are immersed in pleasure! [Seneca]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
The whole point of pleasure-seeking is novelty, and abandoning established ways [Seneca]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / b. Living naturally
Nature doesn't give us virtue; we must unremittingly pursue it, as a training and an art [Seneca]
Living contrary to nature is like rowing against the stream [Seneca]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Character is ruined by not looking back over our pasts, since the future rests on the past [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
It's no good winning lots of fights, if you are then conquered by your own temper [Seneca]
Excessive curiosity is a form of intemperance [Seneca]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
To govern used to mean to serve, not to rule; rulers did not test their powers over those who bestowed it [Seneca]
25. Social Practice / E. Policies / 5. Education / c. Teaching
One joy of learning is making teaching possible [Seneca]
Both teachers and pupils should aim at one thing - the improvement of the pupil [Seneca]
25. Social Practice / F. Life Issues / 4. Suicide
Suicide may be appropriate even when it is not urgent, if there are few reasons against it [Seneca]
If we control our own death, no one has power over us [Seneca]
Sometimes we have a duty not to commit suicide, for those we love [Seneca]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Does time exist on its own? Did anything precede it? Did it pre-exist the cosmos? [Seneca]