What has been learned about logic by means of "uninterpreted" logistic systems can be supplemented by comparing the latter with systems which are more uninterpreted, as well as with others which are less uninterpreted than the well-known logistic systems. By somewhat extending the meaning of 'uninterpreted', I hope to establish certain claims about the nature of logistic systems and also to cast some light on the nature of "logic itself." My procedure involves looking at three major "degrees" of interpretation: first, (...) systems uninterpreted both semantically and syntactically, second, systems uninterpreted semantically but not syntactically, and third, systems uninterpreted neither semantically nor syntactically. We shall be forced to limit ourselves to the truth-functional part of logic in this brief study. What are usually called uninterpreted systems can be seen on a continuum of "degrees" of interpretation, from ordinary reasoning at one extreme to a "thoroughly uninterpreted system" at the other. "Logic itself" apparently lies nearer to the interpreted, deformalized end of the spectrum than to the uninterpreted, formalized end. Logic is not identical with any particular logistic system, but is that which the particular logistic systems aim to formalize or model or capture. I propose that it is that minimum set of logical, rather than syntactical, primitive terms, definitions, and rules which is needed to generate logically, rather than syntactically, the principles of ordinary reasoning as it is used by logicians in their metalinguistic discussions and informal proofs of metatheorems. This minimum set is somewhat larger than the primitive bases of most logistic systems; its truth-functional part is presented in the "Deformalized Logic" at degree twelve. (shrink)

Reviewed Works:Andrew Hodges, Rolf Herken, Alan Turing and the Turing Machine.Stephen C. Kleene, Turing's Analysis of Computability, and Major Applications of it.Robin Gandy, The Confluence of Ideas in 1936.Solomon Feferman, Turing in the Land of O.Martin Davis, Esther R. Phillips, Mathematical Logic and the Origin of Modern Computers.

We generalize an observation made by Goldblatt in "Diodorean modality in Minkowski spacetime" by proving that each -dimensional integral spacetime frame equipped with Robb's irreflexive `after' relation determines a unique temporal logic. Our main result is that, unlike -dimensional spacetime where, as Goldblatt has shown, the Diodorean modal logic is the same for each frame , in the case of -dimensional integral spacetime, the frame determines a unique Diodorean modal logic.

The main project of this dissertation is to analyze various temporal conceptions of modality for discrete n-dimensional spacetime. The first chapter contains an introduction to the problem and known results. Chapter 2 consists of a study of logics which are analogues of the so-called 'logic of today and tomorrow' and 'logic of tomorrow' investigated by Segerberg and others. We consider the analogues of these successor logics for 2-dimensional integral spacetime. We provide axiomatizations in monomodal and multimodal languages and prove completeness (...) theorems. We also establish that the irreflexive successor logic in the "standard" modal language is not finitely axiomatizable. ;Chapter 3 investigates the axiomatization problem for 2-dimensional integral spacetime frames with Robb's irreflexive 'after' relation. We provide an axiomatization in a multimodal language and prove that this axiomatization is complete. We use this result to prove the system in the "standard" modal language is decidable. ;In Chapter 4 we take up the problem of what the correct Diodorean modal logic is for 2-dimensional integral spacetime. We show that the corresponding Diodorean modal logic is not S4.2, nor indeed any known modal system. We then present several candidate axioms and prove their independence in the context of S4.2. We also study some of the sublogics of the Diodorean modal logic for 2-dimensional discrete spacetime . ;The final chapter contains some general results. First we prove that for every n ≥ 2 the n-dimensional frame determines a unique Diodorean modal logic. We also consider temporal logics in the language with F and P for two kinds of irreflexive spacetime frames. We prove that for every n ≥ 2 the n-dimensional frame with Robb's 'after' relation determines a unique temporal logic. We also prove a generalized completeness theorem for n-dimensional irreflexive successor logics. Finally, in an appendix, we provide a list of selected open problems and indicate directions for future research in this area. (shrink)

© 2015, Springer-Verlag Berlin Heidelberg.Genetic studies have identified single nucleotide polymorphisms associated with the risk of prostate cancer. It remains unclear whether such genetic variants are associated with disease aggressiveness. The NCI-SPORE Genetics Working Group retrospectively collected clinicopathologic information and genotype data for 36 SNPs which at the time had been validated to be associated with PC risk from 25,674 cases with PC. Cases were grouped according to race, Gleason score and aggressiveness. Statistical analyses were used to compare the frequency (...) of the SNPs between different disease cohorts. After adjusting for multiple testing, only PC-risk SNP rs2735839 was significantly and inversely associated with aggressive and high-grade disease in European men. Similar associations with aggressive and high-grade disease were documented in African-American subjects. The G allele of rs2735839 was associated with disease aggressiveness even at low PSA levels in both European and African-American men. Our results provide further support that a PC-risk SNP rs2735839 near the KLK3 gene on chromosome 19q13 may be associated with aggressive and high-grade PC. Future prospectively designed, case-case GWAS are needed to identify additional SNPs associated with PC aggressiveness. (shrink)

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...) made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

While Saint Augustine has been a household name for centuries, the same cannot be said of long-overlooked philosopher John Poinsot. But in _Augustine and Poinsot_, John Deely contends that the history of semiotics cannot be conceived of without Poinsot’s landmark contribution. According to Deely, even though Augustine was the first to describe _what_ the sign does, Poinsot was the first to show _how_ the sign mediates between nature and culture. This revolutionary volume demonstrates how Poinsot’s account of semiotics (...) allows us to produce human knowledge and experience. (shrink)

This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine.

'An impressive synthesis of semiotics and anthropology which puts human experience in a new light. Deely gives us the foundation for a new paradigm for anthropology.' -Nathan Houser, Peirce Edition Project.

John Turri gives an example that he thinks refutes what he takes to be “G. E. Moore's view” that omissive assertions such as “It is raining but I do not believe that it is raining” are “inherently ‘absurd'”. This is that of Ellie, an eliminativist who makes such assertions. Turri thinks that these are perfectly reasonable and not even absurd. Nor does she seem irrational if the sincerity of her assertion requires her to believe its content. A commissive counterpart (...) of Ellie is Di, a dialetheist who asserts or believes that The Russell set includes itself but I believe that it is not the case that the Russell set includes itself. Since any adequate explanation of Moore's paradox must handle commissive assertions and beliefs as well as omissive ones, it must deal with Di as well as engage Ellie. I give such an explanation. I argue that neither Ellie's assertion nor her belief is irrational yet both are absurd. Likewise neither Di's assertion nor her belief is irrational yet in contrast neither is absurd. I conclude that not all Moore-paradoxical assertions or beliefs are irrational and that the syntax of Moore's examples is not sufficient for the absurdity found in them. (shrink)

This essay focuses on the development of Latin semiotics from Ockham to Poinsot as it took place mainly in the Iberian university world, with a discussion of the consequences of that development for logic and philosophy today.

David Lindsay Roberts. Republic of Numbers: Unexpected Stories of Mathematical Americans through History. ix + 244 pp., bibl., index. Baltimore: Johns Hopkins University Press, 2019. $29.95 (cloth); ISBN 9781421433080. E-book available. Julian Havil. Curves for the Mathematically Curious: An Anthology of the Unpredictable, Historical, Beautiful, and Romantic. xx + 259 pp., apps., refs., index. Princeton, N.J./Oxford: Princeton University Press, 2019. $29.95 (cloth); ISBN 9780691180052. E-book available. David S. Richeson. Tales of Impossibility: The Two-Thousand-Year Quest to Solve the Mathematical Problems of (...) Antiquity. xii + 436 pp., notes, refs., index. Princeton, N.J./Oxford: Princeton University Press, 2019. $29.95 (cloth); ISBN 9780691192963. E-book availabl. (shrink)

John N Andrews; General Thinking Skills: are there such things?, Journal of Philosophy of Education, Volume 24, Issue 1, 30 May 2006, Pages 71–79, https://doi.o.

Mind, in pursuing its natural thrust toward knowing reality and knowing itself knowing reality, has too often carried along with itself an empty structure which interferes with its objective. This structure is the ordinary formal-logical categories possible, impossible, contingent, necessary.

With a few exceptions, the relation of modern science to medieval natural philosophy is a question that has been largely shunned in the Neothomistic era, in favor of a preoccupation with establishing a “realist metaphysics” that has no need for science in the modern sense nor, for that matter, any need for natural philosophy either. Fr. Ashley’s work confronts this narrow preoccupation head-on, arguing that, in the view of St. Thomas himself, there can be no human wisdom which leaves aside (...) scientific development. Ashley even goes so far as to point the way tothe possible development of philosophy beyond the terms of the realist / idealist framework in which Neothomism had its say. (shrink)

Realism for the 21st Century is a collection of thirty essays from John Deely—a major figure in contemporary semiotics and an authority on scholastic realism and the works of Charles Sanders Peirce. The volume tracks Deely's development as a pragmatic realist, featuring his early essays on our relation to the world after Darwinism; crucial articles on logic, semiotics, and objectivity; overviews of philosophy after modernity; and a new essay on “purely objective reality.”.

Cenoscopy and ideoscopy -- The turn to ideoscopy -- Nothing is certain -- The way of ideas -- Nominalism versus realism -- The interplay of objects in thought and things in the world -- Sensation cenoscopically considered -- The semiotics of sensation -- The semiosic structure of the sensory manifold -- Semiopsis beyond perception -- Descartes and Poinsot : retrospect and prospect.

We present Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge, which works differently from other putative counterexamples and avoids objections to which they are vulnerable. We then argue that four ways of analysing knowledge in terms of safety, including Duncan Pritchard’s, cannot withstand Backward Clock either.

This paper is roughly in two parts. The first deals with whether know-how is constituted by propositional knowledge, as discussed primarily by Gilbert Ryle (1949) The concept of mind. London: Hutchinson, Jason Stanley and Timothy Williamson (2001). Knowing how. Journal of Philosophy, 98, pp. 411–444 as well as Stephen Hetherington (2006). How to know that knowledge-that is knowledge-how. In S. Hetherington (Ed.) Epistemology futures. Oxford: Oxford University Press. The conclusion of this first part is that know-how sometimes does and sometimes (...) does not consist in propositional knowledge. The second part defends an analysis of know-how inspired by Katherine Hawley’ (2003). Success and knowledge-how. American Philosophical Quarterly, 40, pp. 19–31, insightful proposal that know-how requires counterfactual success. I conclude by showing how this analysis helps to explain why know-how sometimes does and sometimes does not consist of propositional knowledge. (shrink)

I supply an argument for Evans's principle that whatever justifies me in believing that p also justifies me in believing that I believe that p. I show how this principle helps explain how I come to know my own beliefs in a way that normally makes me the best authority on them. Then I show how the principle helps to solve Moore's paradoxes.