Combining Texts

All the ideas for 'fragments/reports', 'Evidence' and 'First-order Logic, 2nd-order, Completeness'

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22 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]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
19682 Internalists are much more interested in evidence than externalists are [McGrew]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
19684 Does spotting a new possibility count as evidence? [McGrew]
19687 Absence of evidence proves nothing, and weird claims need special evidence [McGrew]
19688 Every event is highly unlikely (in detail), but may be perfectly plausible [McGrew]
19686 Criminal law needs two separate witnesses, but historians will accept one witness [McGrew]
19680 Maybe all evidence consists of beliefs, rather than of facts [McGrew]
19681 If all evidence is propositional, what is the evidence for the proposition? Do we face a regress? [McGrew]
19689 Several unreliable witnesses can give good support, if they all say the same thing [McGrew]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
19683 Narrow evidentialism relies wholly on propositions; the wider form includes other items [McGrew]
14. Science / A. Basis of Science / 6. Falsification
19685 Falsificationism would be naive if even a slight discrepancy in evidence killed a theory [McGrew]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]