Combining Texts

All the ideas for 'Walking the Tightrope of Reason', 'A Structural Account of Mathematics' and 'Letters from a Stoic'

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71 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 / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy may never find foundations, and may undermine our lives in the process [Fogelin]
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]
2. Reason / A. Nature of Reason / 1. On Reason
Rationality is threatened by fear of inconsistency, illusions of absolutes or relativism, and doubt [Fogelin]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Humans may never be able to attain a world view which is both rich and consistent [Fogelin]
A game can be played, despite having inconsistent rules [Fogelin]
2. Reason / B. Laws of Thought / 1. Laws of Thought
The law of noncontradiction is traditionally the most basic principle of rationality [Fogelin]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
The law of noncontradiction makes the distinction between asserting something and denying it [Fogelin]
2. Reason / E. Argument / 3. Analogy
Legal reasoning is analogical, not deductive [Fogelin]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Realists about sets say there exists a null set in the real world, with no members [Chihara]
We only know relational facts about the empty set, but nothing intrinsic [Chihara]
In simple type theory there is a hierarchy of null sets [Chihara]
The null set is a structural position which has no other position in membership relation [Chihara]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The set theorist cannot tell us what 'membership' is [Chihara]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
ZFU refers to the physical world, when it talks of 'urelements' [Chihara]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
A pack of wolves doesn't cease when one member dies [Chihara]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
The mathematics of relations is entirely covered by ordered pairs [Chihara]
5. Theory of Logic / K. Features of Logics / 2. Consistency
Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara]
No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
Conventions can only work if they are based on something non-conventional [Fogelin]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
My view is 'circumspect rationalism' - that only our intellect can comprehend the world [Fogelin]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
Knowledge is legitimate only if all relevant defeaters have been eliminated [Fogelin]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
For coherentists, circularity is acceptable if the circle is large, rich and coherent [Fogelin]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
A rule of justification might be: don't raise the level of scrutiny without a good reason [Fogelin]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Scepticism is cartesian (sceptical scenarios), or Humean (future), or Pyrrhonian (suspend belief) [Fogelin]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Scepticism deals in remote possibilities that are ineliminable and set the standard very high [Fogelin]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Radical perspectivism replaces Kant's necessary scheme with many different schemes [Fogelin]
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]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
We are also irrational, with a unique ability to believe in bizarre self-created fictions [Fogelin]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara]
19. Language / B. Reference / 1. Reference theories
Referring to a person, and speaking about him, are very different [Seneca]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
Critics must be causally entangled with their subject matter [Fogelin]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The word 'beautiful', when deprived of context, is nearly contentless [Fogelin]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Saying 'It's all a matter to taste' ignores the properties of the object discussed [Fogelin]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Cynics are committed to morality, but disappointed or disgusted by human failings [Fogelin]
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 / D. Justice / 3. Punishment / a. Right to punish
Deterrence, prevention, rehabilitation and retribution can come into conflict in punishments [Fogelin]
Retributivists say a crime can be 'paid for'; deterrentists still worry about potential victims [Fogelin]
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 / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]
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]