Combining Philosophers

All the ideas for Epictetus, Joseph Almog and Leon Horsten

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107 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
Philosophy is the most general intellectual discipline [Horsten]
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]
Even pointing a finger should only be done for a reason [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 / 2. Aims of Definition
A definition should allow the defined term to be eliminated [Horsten]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / A. Truth Problems / 1. Truth
Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten]
Truth is a property, because the truth predicate has an extension [Horsten]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten]
3. Truth / A. Truth Problems / 5. Truth Bearers
Propositions have sentence-like structures, so it matters little which bears the truth [Horsten]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Modern correspondence is said to be with the facts, not with true propositions [Horsten]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten]
Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories have a regress problem in describing truth in the languages for the models [Horsten]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten]
'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten]
Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten]
A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten]
An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten]
The Naïve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten]
Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten]
By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten]
Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten]
Deflationism concerns the nature and role of truth, but not its laws [Horsten]
This deflationary account says truth has a role in generality, and in inference [Horsten]
Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten]
Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten]
4. Formal Logic / E. Nonclassical Logics / 1. Nonclassical Logics
Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
The first incompleteness theorem means that consistency does not entail soundness [Horsten]
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a concept is not compact, it will not be presentable to finite minds [Almog]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The number series is primitive, not the result of some set theoretic axioms [Almog]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]
Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Predicativism says mathematical definitions must not include the thing being defined [Horsten]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten]
In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten]
9. Objects / D. Essence of Objects / 4. Essence as Definition
Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog]
Fregean meanings are analogous to conceptual essence, defining a kind [Almog]
Essential definition aims at existence conditions and structural truths [Almog]
Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog]
9. Objects / D. Essence of Objects / 10. Essence as Species
Alien 'tigers' can't be tigers if they are not related to our tigers [Almog]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Kripke and Putnam offer an intermediary between real and nominal essences [Almog]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Individual essences are just cobbled together classificatory predicates [Almog]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
We can't believe apparent falsehoods, or deny apparent truths [Epictetus]
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 / C. Content / 5. Twin Earth
Water must be related to water, just as tigers must be related to tigers [Almog]
19. Language / C. Assigning Meanings / 1. Syntax
A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten]
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]
We see nature's will in the ways all people are the same [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 / 3. Virtues / f. Compassion
Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C]
If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus]
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]
Perhaps we should persuade culprits that their punishment is just? [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]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Defining an essence comes no where near giving a thing's nature [Almog]
Essences promise to reveal reality, but actually drive us away from it [Almog]
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]