Combining Texts

All the ideas for 'Letter to G.H. Schaller', 'Virtues and Vices' and 'First-order Logic, 2nd-order, Completeness'

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19 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
We take courage, temperance, wisdom and justice as moral, but Aristotle takes wisdom as intellectual [Foot]
1. Philosophy / A. Wisdom / 2. Wise People
Wisdom is open to all, and not just to the clever or well trained [Foot]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
A deductive system is only incomplete with respect to a formal semantics [Rossberg]
16. Persons / F. Free Will / 5. Against Free Will
A thing is free if it acts only by the necessity of its own nature [Spinoza]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Most people think virtues can be displayed in bad actions [Foot]
Virtues are intended to correct design flaws in human beings [Foot, by Driver]
Actions can be in accordance with virtue, but without actually being virtuous [Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Virtues are corrective, to resist temptation or strengthen motivation [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Temperance is not a virtue if it results from timidity or excessive puritanism [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Courage overcomes the fears which should be overcome, and doesn't overvalue personal safety [Foot]