Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Richard Hooker and Marcus Rossberg

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


15 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
Second-order logic needs the sets, and its consequence has epistemological problems [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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
25. Social Practice / C. Rights / 1. Basis of Rights
It is not a law if not endorsed by the public [Hooker,R]
25. Social Practice / D. Justice / 2. The Law / b. Rule of law
Rule of law is superior to autonomy, because citizens can see what is expected [Hooker,R]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Human laws must accord with the general laws of Nature [Hooker,R]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Natural things observe certain laws, and things cannot do otherwise if they retain their forms [Hooker,R]