Negation in the Negative Predicates of Tlingit 1 Seth
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Chapter 5: Methods of Proof for Boolean Logic
Chapter 5: Methods of Proof for Boolean Logic § 5.1 Valid inference steps Conjunction elimination Sometimes called simplification. From a conjunction, infer any of the conjuncts. • From P ∧ Q, infer P (or infer Q). Conjunction introduction Sometimes called conjunction. From a pair of sentences, infer their conjunction. • From P and Q, infer P ∧ Q. § 5.2 Proof by cases This is another valid inference step (it will form the rule of disjunction elimination in our formal deductive system and in Fitch), but it is also a powerful proof strategy. In a proof by cases, one begins with a disjunction (as a premise, or as an intermediate conclusion already proved). One then shows that a certain consequence may be deduced from each of the disjuncts taken separately. One concludes that that same sentence is a consequence of the entire disjunction. • From P ∨ Q, and from the fact that S follows from P and S also follows from Q, infer S. The general proof strategy looks like this: if you have a disjunction, then you know that at least one of the disjuncts is true—you just don’t know which one. So you consider the individual “cases” (i.e., disjuncts), one at a time. You assume the first disjunct, and then derive your conclusion from it. You repeat this process for each disjunct. So it doesn’t matter which disjunct is true—you get the same conclusion in any case. Hence you may infer that it follows from the entire disjunction. In practice, this method of proof requires the use of “subproofs”—we will take these up in the next chapter when we look at formal proofs. -
Globalplatform Device Committee TEE Protection Profile Version 1.2
GlobalPlatform Device Committee TEE Protection Profile Version 1.2 Public Release November 2014 Document Reference: GPD_SPE_021 Copyright 2014 GlobalPlatform Inc. All Rights Reserved. Recipients of this document are invited to submit, with their comments, notification of any relevant patent rights or other intellectual property rights of which they may be aware which might be infringed by the implementation of the specification set forth in this document, and to provide supporting documentation. The technology provided or described herein is subject to updates, revisions, and extensions by GlobalPlatform. Use of this information is governed by the GlobalPlatform license agreement and any use inconsistent with that agreement is strictly prohibited. TEE Protection Profile – Public Release v1.2 This page intentionally left blank. Copyright 2014 GlobalPlatform Inc. All Rights Reserved. The technology provided or described herein is subject to updates, revisions, and extensions by GlobalPlatform. Use of this information is governed by the GlobalPlatform license agreement and any use inconsistent with that agreement is strictly prohibited. TEE Protection Profile – Public Release v1.2 3/99 Contents 1 INTRODUCTION ...................................................................................................................... 7 1.1 AUDIENCE ................................................................................................................. 8 1.2 IPR DISCLAIMER ...................................................................................................... -
Negation in Syntax: on the Nature of Functional Categories and Projections*
.'.j: Negation in Syntax: On the Nature of Functional Categories and Projections* ITZIARLAKA (M.I.T.-Rochesrer) 1. The tense c-command condition 1.0. ~ntroduction In this chapter, I explore certain syntactic phenomena induced by sentence nega tion in Basque and English, and I attempt to provide a unified account ofthem, bas ed on a universal requirement on functional heads. This requirement, which I will refer to as the Tense C-command Condition; is stated in (1). It requires that all function al heads in the clause that are propositional operators be c-commanded by the head Tense at S-structure. (1) TENSE C-COMMAND CONDITION Tense must c-command at S-structure all propositional operators of the clause. The TCC is not a requirement on sentence negation only, but on the dominance relations holding between Tense and all other functional heads that operate on th~, clause. In this chapter, however, I will present evidence for the TCC base4 solely on sentence neg~tion. More specifically, I will argue that apparently unrelated syntactic phenomena surfacing in sentence negation in languages like Basque, English and modern Hebrew are directly induced by the TCC, given the different parametric set tings ofthese languages. A second point to be argued for will be that there is a parametric choice r'egar ding the placement of Negation at D-structure. I will argue that Negation can be generated TP (=IP)l internally or TP externally in different languages. Ultimately, then, I am claiming that (at least some) functional heads may vary in their selec tional properties across languages. -
Symbols Defined by Unicode-Math
Symbols defined by unicode-math Will Robertson 2020/01/31 0.8q This document uses the file unicode-math-table.tex to print every symbol defined by the unicode- math package. Use this document to find the command name or the Unicode glyph slot for a symbol that you wish to use. The following fonts are shown: (with approximate symbol counts) L Latin Modern Math (1585) X XITS Math (2427) S STIX Math Two (2422) P TeX Gyre Pagella Math (1638) D DejaVu Math TeX Gyre (1640) F Fira Math (1052) (p) Symbols defined in PlainE T X are indicated with after their macro name. LATEX follows Plain TEX, but defines a handful more, indicated with (l). Symbols defined in amssymb are indicated with (a). Note that this list of fonts is not intended to be exhaustive but I am happy to add new fonts by 1 request if they are distributed in TEX Live. Contents 1 Opening symbols, \mathopen 3 2 Closing symbols, \mathclose 5 3 Fence symbols, \mathfence 7 4 Punctuation symbols, \mathpunct 7 5 ‘Over’ symbols, \mathover 7 6 ‘Under’ symbols, \mathunder 7 7 Accents, \mathaccent 9 8 Bottom accents, \mathbotaccent 10 9 Big operators, \mathop 11 10 Binary relations, \mathbin 15 1 Only a single TEX Gyre Math font is shown here by design as they all largely have the same symbol coverage. 1 11 Ordinary symbols, \mathord 23 12 Relation symbols, \mathrel 44 13 Alphabetical symbols, \mathalpha 71 13.1 Normal weight .......................................... 71 13.1.1 Upright Greek, uppercase ................................ 71 13.1.2 Upright Greek, lowercase ............................... -
The Dialectic of Duplicity: Treaty Conflict and Political Contradictiont
Buffalo Law Review Volume 34 Number 2 Article 2 4-1-1985 The Dialectic of Duplicity: Treaty Conflict and oliticalP Contradiction Guyora Binder University at Buffalo School of Law, [email protected] Follow this and additional works at: https://digitalcommons.law.buffalo.edu/buffalolawreview Part of the International Law Commons Recommended Citation Guyora Binder, The Dialectic of Duplicity: Treaty Conflict and oliticalP Contradiction, 34 Buff. L. Rev. 329 (1985). Available at: https://digitalcommons.law.buffalo.edu/buffalolawreview/vol34/iss2/2 This Article is brought to you for free and open access by the Law Journals at Digital Commons @ University at Buffalo School of Law. It has been accepted for inclusion in Buffalo Law Review by an authorized editor of Digital Commons @ University at Buffalo School of Law. For more information, please contact [email protected]. BUFFALO LAW REVIEW VOLUME 34 SPRING 1985 NUMBER 2, The Dialectic of Duplicity: Treaty Conflict and Political Contradictiont GUYORA BINDER* TABLE OF CONTENTS I. INTRODUCTION ............................. 332 A. The Argument ........................... 332 B. The Argument Outlined .................... 333 C. The Outline Explained ..................... 337 II. TREATY CONFLICT AND THE CAMP DAVID NEGOTIA- TIONS ..................................... 340 " A. A Definition of Treaty Conflict ............... 340 B. The Camp David Treaties................... 342 •C. Prior Egyptian Commitments ................. 345 D. Egypt's Attempted Resolution of the Conflicts ..... 352 III. A BRIEF HISTORY OF TREATY CONFLICT ............. 363 A. Treaty Conflict and the Concert of Europe ...... 363 B. Treaty Conflict and International Tribunals ..... 374 f Copyright 1986 by Guyora Binder. *Associate Professor, State University of New York at Buffalo Faculty of Law and Juris- prudence, A.B. Princeton 1977, J.D.