Combining Philosophers

All the ideas for Boethius, B Hale / C Wright and Leopold Kronecker

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49 ideas

2. Reason / F. Fallacies / 1. Fallacy
It is a fallacy to explain the obscure with the even more obscure [Hale/Wright]
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 / 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 / A. Nature of Mathematics / 1. Mathematics
All of mathematics is properties of the whole numbers [Kronecker]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
God made the integers, all the rest is the work of man [Kronecker]
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 / 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 / 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]
7. Existence / E. Categories / 1. Categories
There are two sorts of category - referring to things, and to circumstances of things [Boethius]
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 / 10. Properties as Predicates
A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
If universals are not separate, we can isolate them by abstraction [Boethius, by Panaccio]
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 / d. Individuation by haecceity
We can call the quality of Plato 'Platonity', and say it is a quality which only he possesses [Boethius]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Reasoning relates to understanding as time does to eternity [Boethius, by Sorabji]
16. Persons / F. Free Will / 1. Nature of Free Will
Knowledge of present events doesn't make them necessary, so future events are no different [Boethius]
16. Persons / F. Free Will / 2. Sources of Free Will
Rational natures require free will, in order to have power of judgement [Boethius]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Does foreknowledge cause necessity, or necessity cause foreknowledge? [Boethius]
God's universal foreknowledge seems opposed to free will [Boethius]
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 / b. Intellectualism
The wicked want goodness, so they would not be wicked if they obtained it [Boethius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Rewards and punishments are not deserved if they don't arise from free movement of the mind [Boethius]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
When people fall into wickedness they lose their human nature [Boethius]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is a good which once obtained leaves nothing more to be desired [Boethius]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The bad seek the good through desire, but the good through virtue, which is more natural [Boethius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Varied aims cannot be good because they differ, but only become good when they unify [Boethius]
25. Social Practice / A. Freedoms / 2. Freedom of belief
You can't control someone's free mind, only their body and possessions [Boethius]
28. God / A. Divine Nature / 5. God and Time
Divine eternity is the all-at-once and complete possession of unending life [Boethius]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Where does evil come from if there is a god; where does good come from if there isn't? [Boethius]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
God is the supreme good, so no source of goodness could take precedence over God [Boethius]
God is the good [Boethius]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
The power through which creation remains in existence and motion I call 'God' [Boethius]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The regular events of this life could never be due to chance [Boethius]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The reward of the good is to become gods [Boethius]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
God can do anything, but he cannot do evil, so evil must be nothing [Boethius]
If you could see the plan of Providence, you would not think there was evil anywhere [Boethius]