Combining Philosophers

All the ideas for Peter Klein, Marcus Rossberg and Gary Gutting

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16 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy

21943

Since Kant, self-criticism has been part of philosophy [Gutting]

1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism

21944

Structuralism describes human phenomena in terms of unconscious structures [Gutting]

2. Reason / A. Nature of Reason / 6. Coherence

8833	Why should we prefer coherent beliefs? [Klein,P]

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]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma

8834	Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations

8838	If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification

8839	Reasons acquire warrant through being part of a lengthening series [Klein,P]