Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
field of mathematical logic
|
| gptkbp:aimsTo |
determine minimal axioms needed to prove theorems
|
| gptkbp:analyzes |
theorems of ordinary mathematics
|
| gptkbp:developedBy |
gptkb:Harvey_Friedman
|
| gptkbp:focusesOn |
subsystems of second-order arithmetic
|
| gptkbp:hasConcept |
base theory
conservation results equivalence of theorems and axioms reverse implications |
| gptkbp:hasNotableResult |
many classical theorems are equivalent to subsystems
basis for understanding logical strength of theorems |
| https://www.w3.org/2000/01/rdf-schema#label |
Reverse Mathematics
|
| gptkbp:mainSubsystems |
gptkb:Π^1_1-CA_0
gptkb:ATR_0 ACA_0 RCA_0 WKL_0 |
| gptkbp:popularizedBy |
gptkb:Stephen_Simpson
|
| gptkbp:publishedIn |
gptkb:Subsystems_of_Second_Order_Arithmetic
|
| gptkbp:relatedTo |
computability theory
foundations of mathematics proof theory |
| gptkbp:studies |
gptkb:axiomatic_foundations_of_mathematics
|
| gptkbp:usedIn |
gptkb:algebra
gptkb:logic gptkb:topology analysis combinatorics |
| gptkbp:bfsParent |
gptkb:John_Stillwell
|
| gptkbp:bfsLayer |
6
|