This chapter contains sections titled: The Tractatus and rules of logical syntax From logical syntax to philosophical grammar Rules and rule‐formulations Philosophy and grammar The scope of grammar Some morals.

Among the most outstanding discoveries of the last century is one that is not quite as momentous as the theory of relativity or cybernetics. It may even still be enigmatic. It has no one single author, it is not expressed in a single formula, conception, or invention. Nonetheless it is worth all the others combined.

This chapter contains sections titled: Is a language necessarily shared with a community of speakers? Innate knowledge of a language Robinson Crusoe sails again Solitary cavemen and monologuists Private languages and ‘private languages’ Overview.

This chapter contains sections titled: The scaffolding of facts The role of our nature Forms of life Agreement: consensus of human beings and their actions.

This chapter contains sections titled: Initial compass bearings Accord and the harmony between language and reality Rules of inference and logical machinery Formulations and explanations of rules by examples Interpretations, fitting and grammar Further misunderstandings.

This chapter contains sections titled: Following a rule Practices and techniques Doing the right thing and doing the same thing Privacy and the community view On not digging below bedrock.

This chapter contains sections titled: Setting the stage Leitmotifs External guidelines Necessary propositions and norms of representation Concerning the truth and falsehood of necessary propositions What necessary truths are about Illusions of correspondence: ideal objects, kinds of reality and ultra‐physics The psychology and epistemology of the a priori Propositions of logic and laws of thought Alternative forms of representation The arbitrariness of grammar A kinship to the non‐arbitrary Proof in mathematics Conventionalism.

This chapter contains sections titled: The continuation of the Early Draft into philosophy of mathematics Hidden isomorphism A common methodology The flatness of philosophical grammar.

In this paper, we have considered a dynamical model of Chlamydia disease with varying total population size, bilinear incidence rate and pulse vaccination strategy. We have defined two positive numbers $$R_{0}$$ R 0 and $$R_{1}$$ R 1. It is proved that there exists an infection-free periodic solution which is globally attractive if $$R_{0} 1.$$ R 1 > 1. The important mathematical findings for the dynamical behaviour of the Chlamydia disease model are also numerically verified using MATLAB. Finally epidemiological implications of (...) our analytical findings are addressed critically. (shrink)

This is a collection of the key articles written by renowned Wittgenstein scholar, G.P. Baker, on Wittgenstein’s later philosophy, published posthumously. Following Baker’s death in 2002, the volume has been edited by collaborator and partner, Katherine Morris. Contains articles previously only available in other languages, and one previously unpublished paper. Completely distinct from the widely-known work Baker did with P.M.S. Hacker in the Analytical Commentary on the Philosophical Investigations.

The title of this article will perhaps seem excessively contentious to the reader. What solitude of Vladimir Ivanovich Vernadskii, he might ask, if he has even the slightest familiarity with the scientist's biography?

Change is the new normal, but so it has been for ages. Experience to navigate change is something you get just after you needed it, unless you tap into age-old experience. The Fourth Industrial Revolution is bringing about wide-ranging changes. With people having to adjust, the question is whether Christianity, with its roots in preindustrial times, may support people to navigate these changes. This conceptual article focusses on the relationships amongst constructs, exploring logical arguments about how these constructs are associated. (...) The 4IR is briefly described from differing vantage points, as to whether it is a valid description thereof. Whether a revolution or evolution, it is a complex system, and therefore the theory of complex systems is used, with the conclusion that one may merely participate in such systems. Being novel situations, one needs to participate creatively, based on a cognitive understanding of creativity. Creative solutions do not materialise out of thin air but are the novel use of existing knowledge structures. Christian traditions include institutional memories of how people managed situations of radical change, as reflected in Genesis 1 and Lamentations 4. These passages provide building blocks that may be used in creative coping strategies during times of change. Both passages suggest the strategy to juxtapose order and chaos, and borrowing from that, a ‘Grip-Grapple-Grow’ scaffolding system is suggested. To test the usability thereof, the issue of face masks during the Coronavirus Disease 2019 pandemic was touched upon, to evaluate how the interplay amongst 4IR, disruption, beliefs and technological advancement may play out.Contribution: The Fourth Industrial Revolution is speeding up the pace of change, with people having to adapt. This article explores processes of change management, juxtaposing the theory of complex systems, the cognitive science understanding of creativity and institutional memories afforded by some Christian traditions reflecting on how people managed order and chaos. (shrink)

This textbook of Thomistic metaphysics is based on the author's conviction that metaphysics is founded in sense experience. Fidelity to Aristotle and Aquinas on this point entails, according to the author, certain departures from the more usual presentation of systematized Thomism. This second edition is more readable, adds to the English bibliography, and amends the presentation of the doctrine of analogy, presenting it in a less rigid and over-refined way.--V. G. P.

This little book is a collection of essays on the philosophy of mind and serves as a preview of a larger work to come. Writing from the point of view of naturalism, while not defending it, Langer is primarily concerned with the relation of the human mind to feeling, which is the subject of the first essay, "The Process of Feeling." Other contributions include speculations on the origin of speech, a new definition of symbol, the cultural importance of art, the (...) relation of the individual to society. Interesting and provocative.--V. G. P. (shrink)

Vague language refers to expressions with unspecified meaning (for instance, 'I kind of want that job'), and is an important but often overlooked part of linguistic communication. This book is a comparative study of vague language based on naturally occurring data of a rare combination: L1 (American) and L2 (Chinese and Persian) speakers in academic settings. The findings indicate that L2 learners have diverse and culturally specific needs for vague language, and generally use vague words in a more concentrated fashion (...) compared with L1s. The book explores the interconnection and continuum between the linguistic realizations of a vague term and the functions it serves, and how 'elasticity' underpins the frequency and functions of vague language. The implication is that vague language may be integrated into the curriculum of English language teaching as part of L2 speakers' communicative competence. This book will be of great interest to researchers in the fields of intercultural education and applied linguistics. (shrink)

In ‘Wittgenstein on Language and Rules’, Professor N. Malcolm took us to task for misinterpreting Wittgenstein's arguments on the relationship between the concept of following a rule and the concept of community agreement on what counts as following a given rule. Not that we denied that there are any grammatical connections between these concepts. On the contrary, we emphasized that a rule and an act in accord with it make contact in language. Moreover we argued that agreement in judgments and (...) in definitions is indeed necessary for a shared language. But we denied that the concept of a language is so tightly interwoven with the concept of a community of speakers as to preclude its applicabilty to someone whose use of signs is not shared by others. Malcolm holds that ‘This is an unwitting reduction of Wittgenstein's originality. That human agreement is necessary for “shared” language is not so striking a thought as that it is essential for language simpliciter.’ Though less striking, we believe that it has the merit of being a true thought. We shall once more try to show both that it is correct, and that it is a correct account of Wittgenstein's arguments. (shrink)

This chapter offers an essay on the evolution of evolvability. It investigates the most frequently cited arguments against the possibility that the evolution of evolvability might be the result of selection favoring more evolvable genotypes. The chapter argues that all these arguments have not been rigorously analyzed by their proponents, and are thus a self-inflicted blind spot in evolutionary biology, and indicates that there are no deep conceptual obstacles for population genetic theory to explain the evolution of evolvability. The very (...) focus on this subject will help shift the perspective of evolutionary biology toward a more holistic, systemic view of evolution. (shrink)