1,859 research outputs found
Paraconsistent Logics!
No full textIn this note I respond to Hartley Slater's argument [12] to the effect that there is no such thing as paraconsistent logic. Slater's argument trades on the notion of contradictoriness in the attempt to show that the negation of paraconsistent logics is merely a subcontrary forming operator and not one which forms contradictories. I will show that Slater's argument fails, for two distinct reasons. Firstly, the argument does not consider the position of non-dialethic paraconsistency (which rejects the possible truth of any contradictions). Against this position Slater's argument has no bite at all. Secondly, while the argument does show that for dialethic paraconsistency (according to which contradictions can be true), certain other contradictions must be true, I show that this need not deter the dialethic paraconsistentist from their position. Paraconsistent Logics! Greg Restall [email protected] http://arp.anu.edu.au/arp/gar/gar.html Automated Reasoning Project Au..
/ Lukasiewicz, Supervaluations, And The Future
No full textIn this paper I consider an interpretation of future contingents which motivates a unification of a / Lukiasiewicz-style logic, and the more classical, supervaluational semantics. This in turn motivates a new non-classical logic modelling what is "made true by history up until now". I give a simple Hilbert-style proof theory, and a soundness and completeness argument for the proof theory with respect to the intended models. / Lukasiewicz, Supervaluations, and the Future Greg Restall [email protected] http://www.mq.edu.au/~phildept/staff/grestall.html School of History, Philosophy and Politics Macquarie University Sydney 2109, Australia Will there be a sea battle tomorrow? If we wish to take indeterminism seriously, we might agree that there is, as yet, no fact of the matter about a sea battle tomorrow. It is neither the case now that there will be a battle tomorrow, nor the case now that there won't be a battle tomorrow. However, once we agree on that, there are (at least) tw..
The geometry of nondistributive logics
No full textIn this paper we introduce a new natural deduction system for the logic
of lattices, and a number of extensions of lattice logic with different
negation connectives. We provide the class of natural deduction proofs
with both a standard inductive definition and a global graph-theoretical
criterion for correctness, and we show how normalisation in this system
corresponds to cut elimination in the sequent calculus for lattice
logic. This natural deduction system is inspired both by Shoesmith and
Smiley's multiple conclusion systems for classical logic and Girard's
proofnets for linear logic
/ Lukasiewicz, Supervaluations, And The Future
No full textIn this paper I consider an interpretation of future contingents which motivates a unification of a / Lukiasiewicz-style logic, and the more classical, supervaluational semantics. This in turn motivates a new non-classical logic modelling what is "made true by history up until now". I give a simple Hilbert-style proof theory, and a soundness and completeness argument for the proof theory with respect to the intended models. / Lukasiewicz, Supervaluations, and the Future Greg Restall [email protected] http://www.mq.edu.au/~phildept/staff/grestall.html School of History, Philosophy and Politics Macquarie University Sydney 2109, Australia Will there be a sea battle tomorrow? If we wish to take indeterminism seriously, we might agree that there is, as yet, no fact of the matter about a sea battle tomorrow. It is neither the case now that there will be a battle tomorrow, nor the case now that there won't be a battle tomorrow. However, once we agree on that, there are (at least) tw..
Author, Geraldine Brooks at the National Library of Australia for the 2009 Ray Mathew Lecture, Canberra, 23 October 2009 [picture] /
No full textTitle from acquisitions documentation.; Part of the collection: Portraits of author, Geraldine Brooks during her visit to the National Library of Australia for the 2009 Ray Mathew Lecture, Canberra, 23 October 2009.; Acquired in digital format; access copy available online.; Mode of access: Internet via World Wide Web.; Photographed by a staff member of the National Library of Australia
Summer of Service: Greg Jao
No full textGreg Jao, Vice President of Campus Engagement for InterVarsity, speaks on Nehemiah and the importance of investing where God has placed you.
A second-generation Chinese American, Greg helped develop The Daniel Project, a leadership acceleration program for Asian American InterVarsity staff, and formerly served as National Field Director for InterVarsity in the Northeast. He has emceed several Urbana conferences, speaks often to student groups, and is a volunteer preacher at his church. Greg is the author of Your Mind’s Mission, The Kingdom of God, and Following Jesus Without Dishonoring Your Parents (all IVP)
Portrait of Robert Dessaix in the National Library of Australia bookshop, Canberra, 10 October 2008, 1 [picture] /
No full textTitle from acquisitions documentation.; Part of the collection: Portraits of author Robert Dessaix in the National Library of Australia bookshop, Canberra, 10 October 2008.; Acquired in digital format; access copy available online.; Mode of access: Internet via World Wide Web.; Photographed by a staff member of the National Library of Australia
Portrait of Robert Dessaix in the National Library of Australia bookshop, Canberra, 10 October 2008, 2 [picture] /
No full textTitle from acquisitions documentation.; Part of the collection: Portraits of author Robert Dessaix in the National Library of Australia bookshop, Canberra, 10 October 2008.; Acquired in digital format; access copy available online.; Mode of access: Internet via World Wide Web.; Photographed by a staff member of the National Library of Australia
Logic:an introduction
No full textGreg Restall's Logic provides concise introductions to propositional and first-order predicate logic while showing how formal logic intersects with substantial philosophical issues such as vagueness, conditionals, relevance, propositional attitudes, and opaque contents. The author also examines the ideas behind modal logic, free logic, and other non-standard logics and discusses the nature of logic itself. The book covers both natural deduction and tree methods for proving validity. Each chapter includes excellent suggestions for further reading and both elementary and more advanced exercises, with solutions provided on a website. It is flexibly designed to be useable for half or full-year courses, for courses focusing exclusively on formal logic, or for a variety of approaches that would integrate topics in philosophical logic.</p
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