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All the ideas for 'The Discourses', 'Frege philosophy of mathematics' and 'Propositional Objects'

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71 ideas

1. Philosophy / A. Wisdom / 2. Wise People
A wise philosophers uses reason to cautiously judge each aspect of living [Epictetus]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
The task of philosophy is to establish standards, as occurs with weights and measures [Epictetus]
Philosophy is knowing each logos, how they fit together, and what follows from them [Epictetus]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy investigates the causes of disagreements, and seeks a standard for settling them [Epictetus]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Reason itself must be compounded from some of our impressions [Epictetus]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Because reason performs all analysis, we should analyse reason - but how? [Epictetus]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
We can't believe apparent falsehoods, or deny apparent truths [Epictetus]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
How do you distinguish three beliefs from four beliefs or two beliefs? [Quine]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is most obvious when people who deny a proposition still have to use it [Epictetus]
16. Persons / F. Free Will / 1. Nature of Free Will
Freedom is making all things happen by choice, without constraint [Epictetus]
Freedom is acting by choice, with no constraint possible [Epictetus]
We make progress when we improve and naturalise our choices, asserting their freedom [Epictetus]
16. Persons / F. Free Will / 2. Sources of Free Will
Zeus gave me a nature which is free (like himself) from all compulsion [Epictetus]
16. Persons / F. Free Will / 3. Constraints on the will
Not even Zeus can control what I choose [Epictetus]
16. Persons / F. Free Will / 4. For Free Will
You can fetter my leg, but not even Zeus can control my power of choice [Epictetus]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If we could foresee the future, we should collaborate with disease and death [Epictetus]
16. Persons / F. Free Will / 6. Determinism / b. Fate
If I know I am fated to be ill, I should want to be ill [Epictetus]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
A 'proposition' is said to be the timeless cognitive part of the meaning of a sentence [Quine]
19. Language / D. Propositions / 6. Propositions Critique
The problem with propositions is their individuation. When do two sentences express one proposition? [Quine]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Epictetus developed a notion of will as the source of our responsibility [Epictetus, by Frede,M]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Tragedies are versified sufferings of people impressed by externals [Epictetus]
Homer wrote to show that the most blessed men can be ruined by poor judgement [Epictetus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We consist of animal bodies and god-like reason [Epictetus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Every species produces exceptional beings, and we must just accept their nature [Epictetus]
22. Metaethics / B. Value / 2. Values / e. Death
I will die as becomes a person returning what he does not own [Epictetus]
Don't be frightened of pain or death; only be frightened of fearing them [Epictetus]
22. Metaethics / B. Value / 2. Values / g. Love
Knowledge of what is good leads to love; only the wise, who distinguish good from evil, can love [Epictetus]
22. Metaethics / B. Value / 2. Values / j. Evil
The evil for everything is what is contrary to its nature [Epictetus]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The essences of good and evil are in dispositions to choose [Epictetus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
All human ills result from failure to apply preconceptions to particular cases [Epictetus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / a. Natural virtue
We have a natural sense of honour [Epictetus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
If someone harms themselves in harming me, then I harm myself by returning the harm [Epictetus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
In the Discourses choice [prohairesis] defines our character and behaviour [Epictetus, by Frede,M]
23. Ethics / C. Virtue Theory / 4. External Goods / b. Health
Health is only a good when it is used well [Epictetus]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
A person is as naturally a part of a city as a foot is part of the body [Epictetus]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
We are citizens of the universe, and principal parts of it [Epictetus]
24. Political Theory / B. Nature of a State / 4. Citizenship
A citizen should only consider what is good for the whole society [Epictetus]
A citizen is committed to ignore private advantage, and seek communal good [Epictetus]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Punishing a criminal for moral ignorance is the same as punishing someone for being blind [Epictetus]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
Asses are born to carry human burdens, not as ends in themselves [Epictetus]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
The concept of a 'point' makes no sense without the idea of absolute position [Quine]
28. God / A. Divine Nature / 2. Divine Nature
God created humans as spectators and interpreters of God's works [Epictetus]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Both god and the good bring benefits, so their true nature seems to be the same [Epictetus]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Each of the four elements in you is entirely scattered after death [Epictetus]