Combining Texts

All the ideas for '', 'The Virtues and Human Nature' and 'Structuralism and the Notion of Dependence'

expand these ideas     |    start again     |     specify just one area for these texts


19 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo]
Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo]
'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Structuralism is right about algebra, but wrong about sets [Linnebo]
In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
Motives produce intentions, which lead to actions [Driver]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Good intentions are not necessary for virtue [Driver]
Virtue should be defined by consequences, not by states of mind [Driver]
Virtues are character traits or dispositions which produce good consequences for others [Driver]
Control of pregnancy and knowledge of paternity have downgraded chastity [Driver]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
If generosity systematically turned recipients into parasites, it wouldn't be a virtue [Driver]