Combining Texts

All the ideas for '27: Book of Daniel', 'First-order Logic, 2nd-order, Completeness' and 'Personal Identity'

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15 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 / B. Nature of the Self / 5. Self as Associations

3539	Personal identity is just causally related mental states [Parfit, by Maslin]

16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity

1393	One of my future selves will not necessarily be me [Parfit]

16. Persons / D. Continuity of the Self / 4. Split Consciousness

1392	If we split like amoeba, we would be two people, neither of them being us [Parfit]

16. Persons / D. Continuity of the Self / 5. Concerns of the Self

1391	Concern for our own lives isn't the source of belief in identity, it is the result of it [Parfit]

29. Religion / D. Religious Issues / 2. Immortality / a. Immortality

7482	Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson]