Combining Philosophers

All the ideas for Thoralf Skolem, Epicurus and B Hale / C Wright

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129 ideas

1. Philosophy / A. Wisdom / 2. Wise People
It is a great good to show reverence for a wise man [Epicurus]
1. Philosophy / B. History of Ideas / 2. Ancient Thought
Epicurus accepted God in his popular works, but not in his writings on nature [Epicurus, by Sext.Empiricus]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
In the study of philosophy, pleasure and knowledge arrive simultaneously [Epicurus]
Begin philosophy when you are young, and keep going when you are old [Epicurus]
Slavery to philosophy brings true freedom [Epicurus]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims at a happy life, through argument and discussion [Epicurus]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
We should come to philosophy free from any taint of culture [Epicurus]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / f. Philosophy as healing
The aim of medicine is removal of sickness, and philosophy similarly removes our affections [Epicurus]
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
We should say nothing of the whole if our contact is with the parts [Epicurus, by Plutarch]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
If we are to use words in enquiry, we need their main, unambiguous and uncontested meanings [Epicurus]
2. Reason / C. Styles of Reason / 1. Dialectic
Epicurus despises and laughs at the whole of dialectic [Epicurus, by Cicero]
2. Reason / F. Fallacies / 1. Fallacy
It is a fallacy to explain the obscure with the even more obscure [Hale/Wright]
3. Truth / A. Truth Problems / 8. Subjective Truth
Observation and applied thought are always true [Epicurus]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Epicurus rejected excluded middle, because accepting it for events is fatalistic [Epicurus, by Cicero]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or
Epicureans say disjunctions can be true whiile the disjuncts are not true [Epicurus, by Cicero]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer if they make certain atomic statements true [Hale/Wright]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Nothing comes to be from what doesn't exist [Epicurus]
If disappearing things went to nothingness, nothing could return, and it would all be gone by now [Epicurus]
7. Existence / B. Change in Existence / 1. Nature of Change
The totality is complete, so there is no room for it to change, and nothing extraneous to change it [Epicurus]
7. Existence / D. Theories of Reality / 6. Physicalism
Astronomical movements are blessed, but they don't need the help of the gods [Epicurus]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
The identity of Pegasus with Pegasus may be true, despite the non-existence [Hale/Wright]
8. Modes of Existence / B. Properties / 3. Types of Properties
Maybe we have abundant properties for semantics, and sparse properties for ontology [Hale/Wright]
8. Modes of Existence / B. Properties / 8. Properties as Modes
The perceived accidental properties of bodies cannot be conceived of as independent natures [Epicurus]
Accidental properties give a body its nature, but are not themselves bodies or parts of bodies [Epicurus]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Objects just are what singular terms refer to [Hale/Wright]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Bodies are combinations of shape, size, resistance and weight [Epicurus]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A 'body' is a conception of an aggregate, with properties defined by application conditions [Epicurus]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Bodies have impermanent properties, and permanent ones which define its conceived nature [Epicurus]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Above and below us will never appear to be the same, because it is inconceivable [Epicurus]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
We aim to dissolve our fears, by understanding their causes [Epicurus]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
We can't seek for things if we have no idea of them [Epicurus, by Diog. Laertius]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
To name something, you must already have an idea of what it is [Epicurus, by Diog. Laertius]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Atoms only have shape, weight and size, and the properties which accompany shape [Epicurus]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Epicurus says colours are relative to the eye, not intrinsic to bodies [Epicurus, by Plutarch]
12. Knowledge Sources / B. Perception / 5. Interpretation
Sensations cannot be judged, because similar sensations have equal value, and different ones have nothing in common [Epicurus, by Diog. Laertius]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
The criteria of truth are senses, preconceptions and passions [Epicurus, by Diog. Laertius]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Reason can't judge senses, as it is based on them [Epicurus, by Diog. Laertius]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Epicurus denied knowledge in order to retain morality or hedonism as the highest values [Nietzsche on Epicurus]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Epicurus says if one of a man's senses ever lies, none of his senses should ever be believed [Epicurus, by Cicero]
Illusions are not false perceptions, as we accurately perceive the pattern of atoms [Epicurus, by Modrak]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Bath water is too hot for some, too cold for others [Epicurus, by Plutarch]
If two people disagree over taste, who is right? [Epicurus, by Plutarch]
When entering a dark room it is colourless, but colour gradually appears [Epicurus]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
We should accept as explanations all the plausible ways in which something could come about [Epicurus]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
The rational soul is in the chest, and the non-rational soul is spread through the body [Epicurus]
The soul is fine parts distributed through the body, resembling hot breath [Epicurus]
Soul is made of four stuffs, giving warmth, rest, motion and perception [Epicurus, by Aetius]
16. Persons / F. Free Will / 1. Nature of Free Will
Epicurus was the first to see the free will problem, and he was a libertarian [Epicurus, by Long/Sedley]
16. Persons / F. Free Will / 2. Sources of Free Will
Epicurus showed that the swerve can give free motion in the atoms [Epicurus, by Diogenes of Oen.]
16. Persons / F. Free Will / 4. For Free Will
There is no necessity to live with necessity [Epicurus]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If everything is by necessity, then even denials of necessity are by necessity [Epicurus]
16. Persons / F. Free Will / 6. Determinism / b. Fate
Sooner follow mythology, than accept the 'fate' of natural philosophers [Epicurus]
16. Persons / F. Free Will / 7. Compatibilism
We should not refer things to irresponsible necessity, but either to fortune or to our own will [Epicurus]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
The soul cannot be incorporeal, because then it could neither act nor be acted upon [Epicurus]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
How can pleasure or judgement occur in a heap of atoms? [Sext.Empiricus on Epicurus]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]
Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Reference needs truth as well as sense [Hale/Wright]
19. Language / E. Analyticity / 2. Analytic Truths
Many conceptual truths ('yellow is extended') are not analytic, as derived from logic and definitions [Hale/Wright]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Prudence is more valuable than philosophy, because it avoids confusions of the soul [Epicurus]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Our own choices are autonomous, and the basis for praise and blame [Epicurus]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
It was Epicurus who made the question of the will's freedom central to ethics [Epicurus, by Grayling]
22. Metaethics / B. Value / 2. Values / e. Death
The wisdom that produces a good life also produces a good death [Epicurus]
Fearing death is absurd, because we are not present when it occurs [Epicurus]
It is absurd to fear the pain of death when you are not even facing it [Epicurus]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Fine things are worthless if they give no pleasure [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
Pleasure is the goal, but as lack of pain and calm mind, not as depraved or greedy pleasure [Epicurus]
Pleasure is the chief good because it is the most natural, especially for animals [Epicurus, by Diog. Laertius]
All pleasures are good, but it is not always right to choose them [Epicurus]
Pleasure is the first good in life [Epicurus]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
Sooner a good decision going wrong, than a bad one turning out for the good [Epicurus]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
What happens to me if I obtain all my desires, and what if I fail? [Epicurus]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The best life is not sensuality, but rational choice and healthy opinion [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
True pleasure is not debauchery, but freedom from physical and mental pain [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
Pains of the soul are worse than pains of the body, because it feels the past and future [Epicurus, by Diog. Laertius]
Pleasures only differ in their duration and the part of the body affected [Epicurus]
The end for Epicurus is static pleasure [Epicurus, by Annas]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
We only need pleasure when we have the pain of desire [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Pleasure and virtue entail one another [Epicurus]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Justice has no independent existence, but arises entirely from keeping contracts [Epicurus]
Justice is merely a contract about not harming or being harmed [Epicurus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Prudence is the greatest good, and more valuable than philosophy, because it produces virtue [Epicurus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
We choose virtue because of pleasure, not for its own sake [Epicurus, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We value our own character, whatever it is, and we should respect the characters of others [Epicurus]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice is a pledge of mutual protection [Epicurus]
23. Ethics / C. Virtue Theory / 4. External Goods / a. External goods
A wise man would be happy even under torture [Epicurus, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Friendship is by far the most important ingredient of a complete and happy life [Epicurus]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
A law is not just if it is not useful in mutual associations [Epicurus]
25. Social Practice / F. Life Issues / 4. Suicide
It is small-minded to find many good reasons for suicide [Epicurus]
Wise men should partake of life even if they go blind [Epicurus, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Only Epicurus denied purpose in nature, for the whole world, or for its parts [Epicurus, by Annas]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Totality has no edge; an edge implies a contrast beyond the edge, and there can't be one [Epicurus]
Bodies are unlimited as well as void, since the two necessarily go together [Epicurus]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
There exists an infinity of each shape of atom, but the number of shapes is beyond our knowledge [Epicurus]
Atoms just have shape, size and weight; colour results from their arrangement [Epicurus]
There cannot be unlimited division, because it would reduce things to non-existence [Epicurus]
Democritus says atoms have size and shape, and Epicurus added weight [Epicurus, by Ps-Plutarch]
Atoms don't swerve by being struck, because they move in parallel, so the swerve is uncaused [Cicero on Epicurus]
What causes atomic swerves? Do they draw lots? What decides the size or number of swerves? [Cicero on Epicurus]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
We aim to know the natures which are observed in natural phenomena [Epicurus]
27. Natural Reality / C. Space / 1. Void
The void cannot interact, but just gives the possibility of motion [Epicurus]
27. Natural Reality / C. Space / 4. Substantival Space
Space must exist, since movement is obvious, and there must be somewhere to move in [Epicurus]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Stoics say time is incorporeal and self-sufficient; Epicurus says it is a property of properties of things [Epicurus]
27. Natural Reality / E. Cosmology / 1. Cosmology
A cosmos is a collection of stars and an earth, with some sort of boundary, movement and shape [Epicurus]
27. Natural Reality / E. Cosmology / 10. Multiverse
There are endless cosmoi, some like and some unlike this one [Epicurus]
28. God / A. Divine Nature / 2. Divine Nature
For Epicureans gods are made of atoms, and are not eternal [Epicurus, by Cicero]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
Epicurus saw that gods must exist, because nature has imprinted them on human minds [Epicurus, by Cicero]
28. God / C. Attitudes to God / 3. Deism
God does not intervene in heavenly movements, but is beyond all action and perfectly happy [Epicurus]
28. God / C. Attitudes to God / 5. Atheism
Some say Epicurus only pretended to believe in the gods, so as not to offend Athenians [Epicurus, by Cicero]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
If god answered prayers we would be destroyed, because we pray for others to suffer [Epicurus]