Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Judith (Jarvis) Thomson and Marcus Rossberg

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21 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 / E. Objects over Time / 5. Temporal Parts
Temporal parts is a crazy doctrine, because it entails constantly creating stuff ex nihilo [Thomson, by Koslicki]
How can point-duration slices of people have beliefs or desires? [Thomson]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
25. Social Practice / F. Life Issues / 3. Abortion
Is someone's right to life diminished if they were conceived by a rape? [Thomson]
No one is morally required to make huge sacrifices to keep someone else alive for nine months [Thomson]
It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]
A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]
The right to life does not bestow the right to use someone else's body to support that life [Thomson]
The right to life is not a right not to be killed, but not to be killed unjustly [Thomson]