DOCSLIB.ORG

Digest 2020.08.05.02.Pdf © Copyright 2020 by Colin James III All Rights Reserved

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Digest 2020.08.05.02.Pdf © Copyright 2020 by Colin James III All Rights Reserved Digest 2020.08.05.02.pdf © Copyright 2020 by Colin James III All rights reserved. ========== DMCA TAKEDOWN NOTICE ========== Attn: Copyright Agent, Scientific God Inc. (SGI), dba Huping Hu, Ph.D., J.D., [email protected]; dba Maoxin Wu, M.D., Ph.D., [email protected] Owner of: [Domain scigod.com IP: 45.33.14.160 Registrar: [email protected]; Hosting: [email protected]] [Domain vixra.org IP: 192.254.236.78 Registrar: [email protected]; Hosting: [email protected]] [Domain rxiv.org IP: 162.241.226.73 Registrar: [email protected]; Hosting: [email protected]] [Domain s3vp.vixrapedia.org IP: 2a01:4f8:c2c:58fa::1 = 116.203.89.52 Registrar: [email protected]; Hosting: [email protected]] Pursuant to 17 USC 512(c)(3)(A), this communication serves as a statement that: I am the exclusive rights holder for at least 716 articles of duly copyrighted material being infringed upon listed at these URLs https://vixra.org/author/colin_james_iii https://rxiv.org/author/colin_james_iii ; and any other as yet undiscovered locations operated by SGI or dba as Phil Gibbs of UK. These exclusive rights are being violated by material available upon your site at the following URL(s): See the attached list of URLs of infringing material herewith as Exhibit 5 and Exhibit 6; I have a good faith belief that the use of this material in such a fashion is not authorized by the copyright holder or the law; Under penalty of perjury in United States District Court, I state that the information contained in this notification is accurate, and that I am authorized to act as the exclusive rights holder for the material in question; I may be contacted by the following methods: Colin James III, 405 E Saint Elmo Ave Apt 204, Colorado Springs, CO 80905; [email protected]; (719) 210-9534. I hereby request that you remove or disable access to this material as it appears on your services in as expedient a fashion as possible. Very truly yours, /ss/ 8/5/2020 Joseph Colin James III ========== DMCA TAKEDOWN NOTICE ========== Exibit 5 URLs for vixra.org: [716] https://vixra.org/pdf/2005.0009v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2005.0009 submitted on 2020-05-01 06:10:02, (36 unique-IP downloads) Digest 2020.05.01.01 [715] https://vixra.org/pdf/2004.0699v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0699 submitted on 2020-04-30 00:09:07, (16 unique-IP downloads) Digest 2020.04.29.02 [714] https://vixra.org/pdf/2004.0698v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0698 submitted on 2020-04-30 00:11:01, (18 unique-IP downloads) Digest 2020.04.29.01 [713] https://vixra.org/pdf/2004.0681v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0681 submitted on 2020-04-30 12:07:53, (10 unique-IP downloads) Digest 2020.04.30.01 [712] https://vixra.org/pdf/2004.0661v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0661 replaced on 2020-04-29 05:09:20, (15 unique-IP downloads) Digest 2020.04.28.02 [711] https://vixra.org/pdf/2004.0646v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0646 submitted on 2020-04-28 12:18:38, (27 unique-IP downloads) Digest 2020.04.28.01 [710] https://vixra.org/pdf/2004.0574v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0574 submitted on 2020-04-24 18:33:32, (20 unique-IP downloads) Digest 2020.04.24.02 [709] https://vixra.org/pdf/2004.0558v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0558 submitted on 2020-04-23 16:42:15, (18 unique-IP downloads) Recent Advances in the Modal Model Checker Meth8 with VŁ4 Universal Logic [708] https://vixra.org/pdf/2004.0543v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0543 submitted on 2020-04-23 11:41:42, (9 unique-IP downloads) Digest 2020.04.24.01 [707] https://vixra.org/pdf/2004.0537v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0537 submitted on 2020-04-22 14:20:29, (8 unique-IP downloads) Digest 2020.04.22.01 [706] https://vixra.org/pdf/2004.0513v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0513 submitted on 2020-04-21 15:57:18, (12 unique-IP downloads) Digest 2020.04.21.03 [705] https://vixra.org/pdf/2004.0510v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0510 replaced on 2020-04-22 06:05:08, (16 unique-IP downloads) Digest 2020.04.21.04 [704] https://vixra.org/pdf/2004.0490v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0490 replaced on 2020-04-27 06:44:45, (20 unique-IP downloads) Digest 2020.04.20 [703] https://vixra.org/pdf/2004.0483v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0483 replaced on 2020-04-21 06:10:09, (8 unique-IP downloads) Digest 2020.04.21 [702] https://vixra.org/pdf/2004.0469v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0469 submitted on 2020-04-20 12:23:15, (35 unique-IP downloads) Shortest Refutation of Buridan Schemata and Contradictory Barcan Formula [701] https://vixra.org/pdf/2004.0467v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0467 replaced on 2020-04-25 07:22:08, (36 unique-IP downloads) How Computers Must Think [700] https://vixra.org/pdf/2004.0428v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0428 submitted on 2020-04-18 11:18:15, (11 unique-IP downloads) Falsification of Omg Infrastructure Version 2.4.1 [699] https://vixra.org/pdf/2004.0393v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0393 submitted on 2020-04-16 08:23:01, (13 unique-IP downloads) Refutation of Interpretability Logics (1 of 5) [698] https://vixra.org/pdf/2004.0392v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0392 submitted on 2020-04-16 08:24:59, (6 unique-IP downloads) Refutation of Interpretability Logics (2 of 5) [697] https://vixra.org/pdf/2004.0391v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0391 submitted on 2020-04-16 08:27:55, (6 unique-IP downloads) Refutation of Interpretability Logics (3 of 5) [696] https://vixra.org/pdf/2004.0390v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0390 submitted on 2020-04-16 08:28:59, (6 unique-IP downloads) Refutation of Interpretability Logics (4 of 5) [695] https://vixra.org/pdf/2004.0389v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0389 submitted on 2020-04-16 08:31:19, (6 unique-IP downloads) Refutation of Interpretability Logics (5 of 5) [694] https://vixra.org/pdf/2004.0384v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0384 submitted on 2020-04-16 09:58:29, (8 unique-IP downloads) Refutation of Formalized Interpretability Principles for Weak Systems of Arithmetic [693] https://vixra.org/pdf/2004.0376v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0376 submitted on 2020-04-15 16:31:31, (13 unique-IP downloads) Refutation of Determination of Trace Semantics in Coalgebra [692] https://vixra.org/pdf/2004.0374v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0374 replaced on 2020-04-17 11:13:27, (11 unique-IP downloads) Shortest Known Refutation of Intuitionistic Type Theory by Its Division Theorem [691] https://vixra.org/pdf/2004.0353v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0353 replaced on 2020-04-15 14:25:46, (13 unique-IP downloads) Refutation of a Higher Structure Identity Principle [690] https://vixra.org/pdf/2004.0351v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0351 submitted on 2020-04-14 13:48:17, (9 unique-IP downloads) Refutation of Computing with Continuous Objects: a Uniform co-Inductive Approach [689] https://vixra.org/pdf/2004.0350v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0350 submitted on 2020-04-14 15:14:33, (7 unique-IP downloads) Refutation of Propositional Proof Systems and Fast Consistency Provers [688] https://vixra.org/pdf/2004.0344v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0344 replaced on 2020-04-15 23:58:14, (7 unique-IP downloads) Recent Advances in Logical Syntax of Universal it Architecture (Uita) [687] https://vixra.org/pdf/2004.0330v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0330 submitted on 2020-04-14 09:15:04, (8 unique-IP downloads) Refutation of Congruence Preservation, Lattices and Recognizability [686] https://vixra.org/pdf/2004.0327v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0327 submitted on 2020-04-14 10:32:18, (5 unique-IP downloads) Refutation of Epistemic Truthful Public Announcement Logic (Pal) [685] https://vixra.org/pdf/2004.0270v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0270 submitted on 2020-04-12 10:26:23, (18 unique-IP downloads) Refutation of the Logical Syntax of it Architectures [684] https://vixra.org/pdf/2004.0249v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0249 submitted on 2020-04-10 15:23:04, (12 unique-IP downloads) Refutation of Quantum Predicate Logic with Equality [683] https://vixra.org/pdf/2004.0216v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0216 submitted on 2020-04-09 20:16:42, (7 unique-IP downloads) Refutation of Modal Completeness of Sublogics of Interpretability Logic il [682] https://vixra.org/pdf/2004.0197v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0197 submitted on 2020-04-08 17:28:23, (20 unique-IP downloads) Refutation of "Insanity is Repeating the Same Mistakes and Expecting Different Results" [681] https://vixra.org/pdf/2004.0195v1.pdf [Note: v1 through v9, vA through vZ may also apply] 2004.0195 submitted on 2020-04-07 20:34:47, (8 unique-IP downloads)
Load more

Recommended publications
  • Frontiers of Conditional Logic
    City University of New York (CUNY) CUNY Academic Works All Dissertations, Theses, and Capstone Projects Dissertations, Theses, and Capstone Projects 2-2019 Frontiers of Conditional Logic Yale Weiss The Graduate Center, City University of New York How does access to this work benefit ou?y Let us know! More information about this work at: https://academicworks.cuny.edu/gc_etds/2964 Discover additional works at: https://academicworks.cuny.edu This work is made publicly available by the City University of New York (CUNY). Contact: [email protected] Frontiers of Conditional Logic by Yale Weiss A dissertation submitted to the Graduate Faculty in Philosophy in partial fulfillment of the requirements for the degree of Doctor of Philosophy, The City University of New York 2019 ii c 2018 Yale Weiss All Rights Reserved iii This manuscript has been read and accepted by the Graduate Faculty in Philosophy in satisfaction of the dissertation requirement for the degree of Doctor of Philosophy. Professor Gary Ostertag Date Chair of Examining Committee Professor Nickolas Pappas Date Executive Officer Professor Graham Priest Professor Melvin Fitting Professor Edwin Mares Professor Gary Ostertag Supervisory Committee The City University of New York iv Abstract Frontiers of Conditional Logic by Yale Weiss Adviser: Professor Graham Priest Conditional logics were originally developed for the purpose of modeling intuitively correct modes of reasoning involving conditional|especially counterfactual|expressions in natural language. While the debate over the logic of conditionals is as old as propositional logic, it was the development of worlds semantics for modal logic in the past century that cat- alyzed the rapid maturation of the field.
    [Show full text]
  • Non-Classical Logics; 2
    {A} An example of logical metatheory would be giving a proof, Preliminaries in English, that a certain logical system is sound and com- plete, i.e., that every inference its deductive system allows is valid according to its semantics, and vice versa. Since the proof is about a logical system, the proof is not given A.1 Some Vocabulary within that logical system, but within the metalanguage. An object language is a language under discussion or be- Though it is not our main emphasis, we will be doing a fair ing studied (the “object” of our study). amount of logical metatheory in this course. Our metalan- guage will be English, and to avoid confusion, we will use A metalanguage is the language used when discussing an English words like “if”, “and” and “not” rather than their object language. corresponding object language equivalents when work- In logic courses we often use English as a metalanguage ing in the metalanguage. We will, however, be employing when discussing an object language consisting of logical a smattering of symbols in the metalanguage, including symbols along with variables, constants and/or proposi- generic mathematical symbols, symbols from set theory, tional parameters. and some specialized symbols such as “” and “ ”. ` As logical studies become more advanced and sophisti- cated, it becomes more and more important to keep the A.2 Basic Set Theory object language and metalanguage clearly separated. A logical system, or a “logic” for short, typically consists of We shall use these signs metalanguage only. (In another three things (but may consist of only the rst two, or the logic course, you might nd such signs used in the object rst and third): language.) 1.
    [Show full text]
  • Reflecting on the Legacy of CI Lewis
    Organon F, Volume 26, 2019, Issue 3 Special Issue Reflecting on the Legacy of C.I. Lewis: Contemporary and Historical Perspectives on Modal Logic Matteo Pascucci and Adam Tamas Tuboly Guest Editors Contents Matteo Pascucci and Adam Tamas Tuboly: Preface ................................... 318 Research Articles Max Cresswell: Modal Logic before Kripke .................................................. 323 Lloyd Humberstone: Semantics without Toil? Brady and Rush Meet Halldén .................................................................................................. 340 Edwin Mares and Francesco Paoli: C. I. Lewis, E. J. Nelson, and the Modern Origins of Connexive Logic ............................................... 405 Claudio Pizzi: Alternative Axiomatizations of the Conditional System VC ............................................................................................ 427 Thomas Atkinson, Daniel Hill and Stephen McLeod: On a Supposed Puzzle Concerning Modality and Existence .......................................... 446 David B. Martens: Wiredu contra Lewis on the Right Modal Logic ............. 474 Genoveva Martí and José Martínez-Fernández: On ‘actually’ and ‘dthat’: Truth-conditional Differences in Possible Worlds Semantics ............... 491 Daniel Rönnedal: Semantic Tableau Versions of Some Normal Modal Systems with Propositional Quantifiers ................................................ 505 Report Martin Vacek: Modal Metaphysics: Issues on the (Im)possible VII ............. 537 Organon F 26 (3) 2019: 318–322
    [Show full text]
  • De Finettian Logics of Indicative Conditionals
    De Finettian Logics of Indicative Conditionals Part I: Trivalent Semantics and Validity Paul Égré, Lorenzo Rossi, Jan Sprenger Abstract This paper explores trivalent truth conditions for indicative conditionals, examin- ing the “defective” table put forward by de Finetti (1936), as well as Reichenbach (1944), first sketched in Reichenbach (1935). On their approach, a conditional takes the value of its consequent whenever its antecedent is True, and the value Indeterminate otherwise. Here we deal with the problem of choosing an ade- quate notion of validity for this conditional. We show that all standard trivalent schemes are problematic, and highlight two ways out of the predicament: one pairs de Finetti’s conditional (DF) with validity as the preservation of non-False values (TT-validity), but at the expense of Modus Ponens; the other modifies de Finetti’s table to restore Modus Ponens. In Part I of this paper, we present both alternatives, with specific attention to a variant of de Finetti’s table (CC) proposed by Cooper (1968) and Cantwell (2008). In Part II, we give an in-depth treatment of the proof theory of the resulting logics, DF/TT and CC/TT: both are connexive logics, but with significantly different algebraic properties. 1 Introduction Choosing a semantics for the indicative conditional of natural language “if A, then C” (henceforth, A → C) usually involves substantial tradeoffs. The most venera- ble account identifies the indicative conditional with the material conditional ¬A ∨ C and has several attractive features: it is truth-functional, allows for a straightforward treatment of nested conditionals, and satisfies various intuitive principles such as Con- ditional Proof and Import-Export.
    [Show full text]
  • J. Michael Dunn and Greg Restall
    J. MICHAEL DUNN AND GREG RESTALL RELEVANCE LOGIC 1 INTRODUCTION 1.1 Delimiting the topic The title of this piece is not `A Survey of Relevance Logic'. Such a project was impossible in the mid 1980s when the first version of this article was published, due to the development of the field and even the space limitations of the Handbook. The situation is if anything, more difficult now. For example Anderson and Belnap and Dunn's two volume [1975, 1992] work Entailment: The Logic of Relevance and Necessity, runs to over 1200 pages, and is their summary of just some of the work done by them and their co- workers up to about the late 1980s. Further, the comprehensive bibliography (prepared by R. G. Wolf) contains over 3000 entries in work on relevance logic and related fields. So, we need some way of delimiting our topic. To be honest the fact that we are writing this is already a kind of delimitation. It is natural that you shall find emphasised here the work that we happen to know best. But still rationality demands a less subjective rationale, and so we will proceed as follows. Anderson [1963] set forth some open problems for his and Belnap's sys- tem E that have given shape to much of the subsequent research in relevance logic (even much of the earlier work can be seen as related to these open problems, e.g. by giving rise to them). Anderson picks three of these prob- lems as major: (1) the admissibility of Ackermann's rule γ (the reader should not worry that he is expected to already know what this means), (2) the decision problems, (3) the providing of a semantics.
    [Show full text]
  • CONNEXIVE CONDITIONAL LOGIC. Part I
    Logic and Logical Philosophy Volume 28 (2019), 567–610 DOI: 10.12775/LLP.2018.018 Heinrich Wansing Matthias Unterhuber CONNEXIVE CONDITIONAL LOGIC. Part I Abstract. In this paper, first some propositional conditional logics based on Belnap and Dunn’s useful four-valued logic of first-degree entailment are introduced semantically, which are then turned into systems of weakly and unrestrictedly connexive conditional logic. The general frame semantics for these logics makes use of a set of allowable (or admissible) extension/anti- extension pairs. Next, sound and complete tableau calculi for these logics are presented. Moreover, an expansion of the basic conditional connexive logics by a constructive implication is considered, which gives an oppor- tunity to discuss recent related work, motivated by the combination of indicative and counterfactual conditionals. Tableau calculi for the basic constructive connexive conditional logics are defined and shown to be sound and complete with respect to their semantics. This semantics has to ensure a persistence property with respect to the preorder that is used to interpret the constructive implication. Keywords: conditional logic; connexive logic; paraconsistent logic; Chellas frames; Segerberg frames; general frames; first-degree entailment logic; Aris- totle’s theses; Boethius’ theses; extension/anti-extension pairs; tableaux 1. Introduction In this paper we consider a weak conditional, , that satisfies un- restrictedly Aristotle’s Theses and Boethius’ Theses if a very natural condition is imposed on
    [Show full text]
  • A Truthmaker Semantics for Wansing's C
    Bachelor thesis Bsc Artificial Intelligence A Truthmaker Semantics for Wansing's C Author: Supervisor: Wouter Vromen Dr. Johannes Korbmacher Student number: Second reader: 4270630 Dr. Erik Stei A 7.5 ECTS thesis submitted in partial fulfillment of the requirements for the degree of Bachelor of Science in the Faculty of Humanities August 2020 Introduction The aim of this thesis is to provide a truthmaker semantics for the propositional connexive logic C introduced by Heinrich Wansing [28]. The basic idea of thruthmaker semantics is that the truth of propositions are necessitated by states that are wholly relevant to the truth of said propositions. Note that this "state" can be a state of affairs, a state of facts, or anything else, as long as there is a mereology which is defined in chapter 2. An overview of truthmaker semantics can be found in [12]. There are many results achieved for truthmaker semantics in the past few years; a few are highlighted here: • There is a truthmaker semantics for first degree entailment which is es- sentially due to Bas van Fraassen [15]. Kit Fine in [10] established a modernized version of this result. • Fine also defined a truthmaker semantics for full intuitionistic logic [9]. • Mark Jago did the same for relevant logic [16]. Truthmaker semantics is a new shared semantic underpinning for these logics and constructing a truthmaker semantics for Wansing's C provides a way to compare it to the rest of these logics. C is a promising four-valued semantics for connexive logic. Logic is fundamental for artificial intelligence and database reasoning.
    [Show full text]
  • Contributed Talk Abstracts1
    CONTRIBUTED TALK ABSTRACTS1 I M.A. NAIT ABDALLAH, On an application of Curry-Howard correspondence to quantum mechanics. Dep. Computer Science, UWO, London, Canada; INRIA, Rocquencourt, France. E-mail: [email protected]. We present an application of Curry-Howard correspondence to the formalization of physical processes in quantum mechanics. Quantum mechanics' assignment of complex amplitudes to events and its use of superposition rules are puzzling from a logical point of view. We provide a Curry-Howard isomorphism based logical analysis of the photon interference problem [1], and develop an account in that framework. This analysis uses the logic of partial information [2] and requires, in addition to the resolution of systems of algebraic constraints over sets of λ-terms, the introduction of a new type of λ-terms, called phase λ-terms. The numerical interpretation of the λ-terms thus calculated matches the expected results from a quantum mechanics point of view, illustrating the adequacy of our account, and thus contributing to bridging the gap between constructive logic and quantum mechanics. The application of this approach to a photon traversing a Mach-Zehnder interferometer [1], which is formalized by context Γ = fx : s; hP ; πi : s ! a? ! a; Q : s ! b? ! b; hJ; πi : a ! a0; hJ 0; πi : b ! b0; hP 0; πi : b0 ! c? ! c; Q0 : b0 ! d? ! d; P 00 : a0 ! d0? ! d0;Q00 : a0 ! c0? ! c0;R : c _ c0 ! C; S : 0 ? ? 0 ? 0 ? 00 0? 00 0? d _ d ! D; ξ1 : a ; ξ2 : b ; ξ1 : c ; ξ2 : d ; ξ1 : d ; ξ2 : c g, yields inhabitation claims: 00 00 0 0 0 R(in1(Q (J(P xξ1))ξ2 )) + R(in2(P (J (Qxξ2))ξ1)) : C 00 00 0 0 0 S(in1(P (J(P xξ1))ξ1 )) + hS(in2(Q (J (Qxξ2))ξ2)); πi : D which are the symbolic counterpart of the probability amplitudes used in the standard quantum mechanics formalization of the interferometer, with constructive (resp.
    [Show full text]
  • Humble Connexivity
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Universität München: Elektronischen Publikationen Logic and Logical Philosophy Volume 28 (2019), 513–536 DOI: 10.12775/LLP.2019.001 Andreas Kapsner HUMBLE CONNEXIVITY Abstract. In this paper, I review the motivation of connexive and strongly connexive logics, and I investigate the question why it is so hard to achieve those properties in a logic with a well motivated semantic theory. My answer is that strong connexivity, and even just weak connexivity, is too stringent a requirement. I introduce the notion of humble connexivity, which in essence is the idea to restrict the connexive requirements to possible antecedents. I show that this restriction can be well motivated, while it still leaves us with a set of requirements that are far from trivial. In fact, formalizing the idea of humble connexivity is not as straightforward as one might expect, and I offer three different proposals. I examine some well known logics to determine whether they are humbly connexive or not, and I end with a more wide-focused view on the logical landscape seen through the lens of humble connexivity. Keywords: connexive logic; strong connexivity; unsatisfiability; paraconsis- tency; conditional logic; modal logic 1. Introduction This paper is an attempt to answer a particular challenge to the en- terprise of connexive logic. It was put to me some years ago by David Makinson.1 1 Not only is he, by giving me this challenge, responsible for the existence of this paper, he also gave a number of suggestions that were of tremendous help to me in writing this paper; section 6 in particular owes its inclusion and form to these suggestions.
    [Show full text]
  • A Defense of Trivialism
    A Defense of Trivialism Paul Douglas Kabay Submitted in total fulfillment of the requirements of the degree of Doctor of Philosophy August 2008 School of Philosophy, Anthropology, and Social Inquiry The University of Melbourne Abstract That trivialism ought to be rejected is almost universally held. I argue that the rejection of trivialism should be held in suspicion and that there are good reasons for thinking that trivialism is true. After outlining in chapter 1 the place of trivialism in the history of philosophy, I begin in chapter 2 an outline and defense of the various arguments in favor of the truth of trivialism. I defend four such arguments: an argument from the Curry Paradox; and argument from the Characterization Principle; an argument from the Principle of Sufficient Reason; and an argument from the truth of possibilism. In chapter 3 I build a case for thinking that the denial of trivialism is impossible. I begin by arguing that the denial of some view is the assertion of an alternative view. I show that there is no such view as the alternative to trivialism and so the denial of trivialism is impossible. I then examine an alternative view of the nature of denial – that denial is not reducible to an assertion but is a sui generis speech act. It follows given such an account of denial that the denial of trivialism is possible. I respond to this in two ways. First, I give reason for thinking that this is not a plausible account of denial. Secondly, I show that even if it is successful, the denial of trivialism is still unassertable, unbelievable, and severely limited in its rationality.
    [Show full text]
  • Kripke Completeness of Bi-Intuitionistic Multilattice Logic and Its Connexive Variant
    Norihiro Kamide Kripke Completeness of Yaroslav Shramko Bi-intuitionistic Multilattice Heinrich Wansing Logic and its Connexive Variant Abstract. In this paper, bi-intuitionistic multilattice logic, which is a combination of multilattice logic and the bi-intuitionistic logic also known as Heyting–Brouwer logic, is introduced as a Gentzen-type sequent calculus. A Kripke semantics is developed for this logic, and the completeness theorem with respect to this semantics is proved via theorems for embedding this logic into bi-intuitionistic logic. The logic proposed is an extension of first-degree entailment logic and can be regarded as a bi-intuitionistic variant of the original classical multilattice logic determined by the algebraic structure of multilattices. Similar completeness and embedding results are also shown for another logic called bi- intuitionistic connexive multilattice logic, obtained by replacing the connectives of intu- itionistic implication and co-implication with their connexive variants. Keywords: First-degree entailment logic, Multilattices, Bi-intuitionistic logic, Connexive logic. Introduction The aim of this paper is to expand the realm of the first-degree entailment logic (FDE) first presented by Anderson and Belnap [2,3,5], and justified semantically by Dunn [9] and Belnap [7,8]. FDE, also called Belnap and Dunn’s four-valued logic, is widely considered to be very useful for a number of different purposes in philosophy and computer science. This logic is based on a compound algebraic structure known as a bilattice [10–12] and allows various natural generalizations that can be pursued along different lines. One such line leads to the notion of a trilattice [32] and—more generally— multilattice, resulting in logical systems comprising more than one con- sequence relation, notably bi-consequence systems [25,26,33] and multi- consequence systems [31].
    [Show full text]
  • Andreas Kapsner – Curriculum Vitae
    Andreas Kapsner Curriculum Vitae Education 1999–2006 Magister Artium (M.A.) in Logic, Philosophy of Science and Indology, Ludwig-Maximilians-Universität, Munich, Germany. 2006–2007 Master in Cognitive Science, University of Barcelona, Spain. 2007–2011 PhD in Philosophy, University of Barcelona, Spain. Academic Employment 2011-2012 Visiting fellowship at the Munich Center for Mathematical Philosophy, funded by the Alexander von Humboldt Foundation 2012-2013 Postdoctoral fellow at the University of Passau, academic coordinator of the Graduiertenkolleg (interdisciplinary training research group) “Privacy” 2013- 2016 Principal investigator of the research project “New logics for verificationism” at the Munich Center for Mathematical Philosophy, funded by the DFG (German Research Foundation) 2016- 2017 Postdoctoral fellow at the Department of Psychology, Ludwig Maximilians University Munich 2017 Substitute professor of Philosophy of Science, Ludwig Maximilians University Munich 2018- 2019 Postdoctoral Fellow, Munich Center for Mathematical Philosophy 2020- 2023 Principal investigator of the research project “The Philosophical Basis of Connexive Logic” at the Munich Center for Mathematical Philosophy, funded by the DFG (German Research Foundation) Doctoral Thesis Title Logics and Falsifications Grade Excellent cum laude (best possible grade) Award The Association of Logic, Language and Information (FoLLI) awarded the 2012 Beth Dissertation Prize to this thesis. It thus judged it one of the two best theses in the fields of logic, language and information
    [Show full text]