Combining Texts

All the ideas for 'On the Natural Faculties', 'Virtue Ethics: an Introduction' and 'Model Theory'

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


17 ideas

2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
We just use the word 'faculty' when we don't know the psychological cause [Galen]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Kant and Mill both try to explain right and wrong, without a divine lawgiver [Taylor,R]
Morality based on 'forbid', 'permit' and 'require' implies someone who does these things [Taylor,R]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Pleasure can have a location, and be momentary, and come and go - but happiness can't [Taylor,R]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
'Eudaimonia' means 'having a good demon', implying supreme good fortune [Taylor,R]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
To Greeks it seemed obvious that the virtue of anything is the perfection of its function [Taylor,R]
23. Ethics / D. Deontological Ethics / 1. Deontology
The modern idea of obligation seems to have lost the idea of an obligation 'to' something [Taylor,R]
23. Ethics / D. Deontological Ethics / 2. Duty
The ethics of duty requires a religious framework [Taylor,R]
If we are made in God's image, pursuit of excellence is replaced by duty to obey God [Taylor,R]