Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Virtue Ethics: an Introduction' and 'Introduction to German Philosophy'

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16 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [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]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
German Idealism says our thinking and nature have the same rational structure [Bowie]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Nazis think race predetermines the self [Bowie]
19. Language / F. Communication / 1. Rhetoric
Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie]
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
If we are made in God's image, pursuit of excellence is replaced by duty to obey God [Taylor,R]
The ethics of duty requires a religious framework [Taylor,R]