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Spandrels of Truth$

Jc Beall

Print publication date: 2009

Print ISBN-13: 9780199268733

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780199268733.001.0001

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(p.142) Appendix B List of Common Abbreviations

(p.142) Appendix B List of Common Abbreviations

Spandrels of Truth
Oxford University Press

BIV. ⊢Tr(⌜α⌝) ∨ Tr(⌜¬α⌝).

CC. ⊢ α → Tr(⌜α⌝).

CR. ⊢Tr(⌜α⌝) → α.

DS. α ∨ β, ¬α ⊬ β.

EC. Every sentence (in the language) is either ttrue, tfalse, or Other.

EFQ. α, ¬α ⊢ β.

LEM. ⊢ α ∨ ¬ α.

MMP. α, α ⊃ β ⊬ β.

MPP. α, α ⇒ β ⊢ β.

PMP. α ∧ (α → β) → β.

RC. α ⊢Tr(⌜α⌝).

RR. Tr(⌜α⌝) ⊢α.

SP. For any object o and predicate φ(x), there is a semantical property y such that o exemplifies y iff φ(x) is ttrue of o.

TP. Let β be any sentence in which sentence α occurs. Then the result of substituting Tr(⌜α⌝) for any occurrence of α in β has the same semantic value or same semantic status as β.

WT. wTr(⌜α⌝) iff w ⊨ α for all α and w W .