Combining Texts

All the ideas for 'Matter and Memory', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'The Consolations of Philosophy'

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35 ideas

2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Reasoning relates to understanding as time does to eternity [Boethius, by Sorabji]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze]
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 / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
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]