Linear / Resource-Sensitive Logic Challenge
F10
foundations logic
foundations logic
External: philosophical foundational debate
τ response: further investigation
Can mathematics be rebuilt or recovered with a logic that treats assumptions as resources rather than freely duplicable or discardable propositions?
Current τ response
See the paired Linear / Resource-Sensitive Logic Challenge — Challenge Response on the Results lane for the program's current response status, registry evidence, verification route, and external-review boundary.
Current status: further investigation.
Challenge statement
Can mathematics be rebuilt or recovered with a logic that treats assumptions as resources rather than freely duplicable or discardable propositions?
Why this challenge is in the ledger
Linear logic gives a socially stabilized resource-sensitive alternative. τ’s no-hidden-runtime discipline may invite a resource-sensitive comparison.
τ-facing burden
State whether τ has a resource discipline. Identify whether contraction, weakening, duplication, deletion, and modal recovery of ordinary logic are earned or assumed.
First reviewer questions
- How does τ position itself with respect to linear / resource-sensitive logic challenge?
- Are τ's claims here theorem-like, programmatic, or descriptive?
- What external review would settle the open questions?
Source anchors
Source anchors are background references, not endorsements of Panta Rhei claims.