Combining Texts

All the ideas for 'There are no ordinary things', 'Letters from a Stoic' and 'Logic in Mathematics'

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54 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]
2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Vague predicates lack application; there are no borderline cases; vague F is not F [Unger, by Keefe/Smith]
9. Objects / A. Existence of Objects / 5. Simples
There are no objects with proper parts; there are only mereological simples [Unger, by Wasserman]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
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 / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / B. Reference / 1. Reference theories
Referring to a person, and speaking about him, are very different [Seneca]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
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]