Combining Texts

All the ideas for 'fragments/reports', 'Shame and Necessity' and 'First-order Logic, 2nd-order, Completeness'

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22 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10751 Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10759 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
10753 Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
10752 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
10754 In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10756 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
10758 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
10761 Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10755 A deductive system is only incomplete with respect to a formal semantics [Rossberg]
16. Persons / F. Free Will / 5. Against Free Will
2181 It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B]
2176 There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
4317 We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham]
20. Action / C. Motives for Action / 4. Responsibility for Actions
2174 Responsibility involves cause, intention, state of mind, and response after the event [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
2178 In bad actions, guilt points towards victims, and shame to the agent [Williams,B]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
2169 Greek moral progress came when 'virtue' was freed from social status [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
2172 The modern idea of duty is unknown in archaic Greece [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
2179 If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B]
2180 If reason cannot lead people to good, we must hope they have an internal voice [Williams,B]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
2175 There is a problem of evil only if you expect the world to be good [Williams,B]