Sh-h-h-h : Representations of perpetrators of sexual child abuse in picturebooks

Children’s picturebooks dealing with the topic of child sexual abuse first appeared in the early 1980s with the aim of addressing the need for age-appropriate texts to teach sexual abuse prevention concepts and to provide support for young children who may be at risk of or have already experienced sexual abuse. Despite the apparent potential of children’s picturebooks to convey child sexual abuse prevention concepts, very few studies have addressed the topic of child sexual abuse in children’s literature. Based on a larger study of 60 picturebooks about sexual child abuse published over the past 25 years, this paper critically examines eight picturebook representations of the perpetrators of sexual child abuse as a way to understand how potentially dangerous adults are explained to the young readers of these texts

Wittgenstein’s ‘notorious paragraph’ about the Gödel Theorem

In §8 of Remarks on the Foundations of Mathematics (RFM), Appendix 3 Wittgenstein imagines what conclusions would have to be drawn if the Gödel formula P or ¬P would be derivable in PM. In this case, he says, one has to conclude that the interpretation of P as “P is unprovable” must be given up. This “notorious paragraph” has heated up a debate on whether the point Wittgenstein has to make is one of “great philosophical interest” revealing “remarkable insight” in Gödel’s proof, as Floyd and Putnam suggest (Floyd (2000), Floyd (2001)), or whether this remark reveals Wittgenstein’s misunderstanding of Gödel’s proof as Rodych and Steiner argued for recently (Rodych (1999, 2002, 2003), Steiner (2001)). In the following the arguments of both interpretations will be sketched and some deficiencies will be identified. Afterwards a detailed reconstruction of Wittgenstein’s argument will be offered. It will be seen that Wittgenstein’s argumentation is meant to be a rejection of Gödel’s proof but that it cannot satisfy this pretension

Semantic Criteria of Correct Formalization

This paper compares several models of formalization. It articulates criteria of correct formalization and identifies their problems. All of the discussed criteria are so called “semantic” criteria, which refer to the interpretation of logical formulas. However, as will be shown, different versions of an implicitly applied or explicitly stated criterion of correctness depend on different understandings of “interpretation” in this context

Wittgenstein on Pseudo-Irrationals, Diagonal Numbers and Decidability

In his early philosophy as well as in his middle period, Wittgenstein holds a purely syntactic view of logic and mathematics. However, his syntactic foundation of logic and mathematics is opposed to the axiomatic approach of modern mathematical logic. The object of Wittgenstein’s approach is not the representation of mathematical properties within a logical axiomatic system, but their representation by a symbolism that identifies the properties in question by its syntactic features. It rests on his distinction of descriptions and operations; its aim is to reduce mathematics to operations. This paper illustrates Wittgenstein’s approach by examining his discussion of irrational numbers

Teaching in a nutshell: navigating your teacher education program as a student teacher [Book Review]

Teacher education programs bridge the interests of two worlds - the world of educational theory and the world of teaching practice. Despite teacher educators’ best attempts to convince pre-service teachers that theory and practice are linked, it is often during their practicum placements when pre-service teachers claim that their ‘real’ learning takes place. It is also on practicum when students teachers face (and are surprised by) the ‘extensive decision-making role of the teacher, the emotional aspects of teaching, and the sheer volume of work’ (p.4). Kosnick and Beck’s new book Teaching in a Nutshell utilises the authors’ extensive research with beginning teachers to help students ‘navigate’ their way through their programs. Identifying what they have found in their research to be the seven key priorities for teachers, each chapter follows a helpful structure beginning with an overview of current thinking in the priority area, followed by a case study of a beginning teacher showing how s/he implements the strategy..

Actuality and the a priori

We consider a natural-language sentence that cannot be formally represented in a first-order language for epistemic two-dimensional semantics. We also prove this claim in the “Appendix” section. It turns out, however, that the most natural ways to repair the expressive inadequacy of the first-order language render moot the original philosophical motivation of formalizing a priori knowability as necessity along the diagonal

Wittgenstein's Programme of a New Logic

The young Wittgenstein called his conception of logic “New Logic” and opposed it to the “Old Logic”, i.e. Frege’s and Russell’s systems of logic. In this paper the basic objects of Wittgenstein’s conception of a New Logic are outlined in contrast to classical logic. The detailed elaboration of Wittgenstein’s conception depends on the realization of his ab-notation for first order logic

Wierenga on theism and counterpossibles

Several theists, including Linda Zagzebski, have claimed that theism is somehow committed to nonvacuism about counterpossibles. Even though Zagzebski herself has rejected vacuism, she has offered an argument in favour of it, which Edward Wierenga has defended as providing strong support for vacuism that is independent of the orthodox semantics for counterfactuals, mainly developed by David Lewis and Robert Stalnaker. In this paper I show that argument to be sound only relative to the orthodox semantics, which entails vacuism, and give an example of a semantics for counterfactuals countenancing impossible worlds for which it fails