## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

## If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

# On Partially Conservative Sentences and Interpretability

Per Lindström
Proceedings of the American Mathematical Society
Vol. 91, No. 3 (Jul., 1984), pp. 436-443
DOI: 10.2307/2045318
Stable URL: http://www.jstor.org/stable/2045318
Page Count: 8
Preview not available

## Abstract

A sentence φ is Γ-conservative over T if $T + \varphi \vdash \psi$ implies $T \vdash \psi$ for every ψ ∈ Γ. In $\S1$ this concept for Γ = Σ0 n + 1 and Π0 n + 1 is investigated. In $\S2$ results from $\S1$ are applied to interpretability in theories containing arithmetic.

• 436
• 437
• 438
• 439
• 440
• 441
• 442
• 443