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All the ideas for 'fragments/reports', 'Pragmatism and Objective Truth' and 'Set Theory and Its Philosophy'

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64 ideas

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
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]
2. Reason / C. Styles of Reason / 1. Dialectic
Epicurus despises and laughs at the whole of dialectic [Epicurus, by Cicero]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
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 / 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 / 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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
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]
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 / 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]
13. Knowledge Criteria / E. Relativism / 1. Relativism
If two people disagree over taste, who is right? [Epicurus, by Plutarch]
Bath water is too hot for some, too cold for others [Epicurus, by Plutarch]
When entering a dark room it is colourless, but colour gradually appears [Epicurus]
14. Science / B. Scientific Theories / 1. Scientific Theory
Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
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]
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]
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 / D. Concepts / 1. Concepts / a. Nature of concepts
For pragmatists a concept means its consequences [Macbeth]
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 / 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 chief good because it is the most natural, especially for animals [Epicurus, by Diog. Laertius]
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]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Justice has no independent existence, but arises entirely from keeping contracts [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 / 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]
25. Social Practice / F. Life Issues / 4. Suicide
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 / 6. Early Matter Theories / g. Atomism
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]
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]
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 / 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]