Combining Philosophers

All the ideas for Anaxarchus, Stewart Cohen and Marcus Rossberg

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

19 ideas

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 / C. External Justification / 6. Contextual Justification / a. Contextualism
19558 Our own intuitions about whether we know tend to vacillate [Cohen,S]
19561 We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S]
19563 The context sensitivity of knowledge derives from its justification [Cohen,S]
19560 Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S]
12893 Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S]
12896 Knowledge is context-sensitive, because justification is [Cohen,S]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
12894 There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
19559 Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S]