Subsystems of Second Order Arithmetic
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical logic topic
|
| gptkbp:basisFor |
gptkb:reverse_mathematics_program
|
| gptkbp:field |
gptkb:logic
gptkb:reverse_mathematics |
| gptkbp:formalizes |
gptkb:second_order_arithmetic
|
| https://www.w3.org/2000/01/rdf-schema#label |
Subsystems of Second Order Arithmetic
|
| gptkbp:includes |
gptkb:Π^1_1-CA_0
gptkb:ATR_0 ACA_0 RCA_0 WKL_0 |
| gptkbp:notableContributor |
gptkb:Stephen_Simpson
gptkb:Harvey_Friedman gptkb:H._Jerome_Keisler |
| gptkbp:notableWork |
gptkb:Subsystems_of_Second_Order_Arithmetic_(book_by_Stephen_Simpson)
|
| gptkbp:relatedTo |
gptkb:set_theory
gptkb:Peano_arithmetic |
| gptkbp:studiedIn |
gptkb:reverse_mathematics
|
| gptkbp:studies |
axiomatic systems
comprehension axioms induction schemes mathematical subsystems |
| gptkbp:usedFor |
analyzing the strength of mathematical theorems
|
| gptkbp:bfsParent |
gptkb:Stephen_G._Simpson
|
| gptkbp:bfsLayer |
6
|