Combining Texts

All the ideas for 'works', 'Idea for a Universal History' and 'First-order Logic, 2nd-order, Completeness'

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16 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
21054 Reason enables the unbounded extension of our rules and intentions [Kant]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10751 Second-order logic needs the sets, and its consequence has epistemological problems [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 / 2. Sources of Free Will
21053 The manifest will in the world of phenomena has to conform to the laws of nature [Kant]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
20239 Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
21055 Our aim is a constitution which combines maximum freedom with strong restraint [Kant]
21056 The vitality of business needs maximum freedom (while avoiding harm to others) [Kant]
25. Social Practice / D. Justice / 1. Basis of justice
21057 The highest ideal of social progress is a universal cosmopolitan existence [Kant]