Section 2 concerns the classification of G-vector bundles. The precise statement is: The equivalence classes of k-dimensional G-vector bundles over M” “ subordinate ” to Pare in a natural one-to-one correspondence with the equivariant homotopy classes of maps of M into Gk( V’), the grassmannian of k-planes in V’, if t > n + k. The existence of a classifying map is proved via a transversality ar...

Formal and computational models of argument are ideally suited for education in ill-defined domains such as law, public policy, and science. Open-ended arguments play a central role in these areas but students of the domains may not have been taught an explicit model of argument. Computational models of argument may be ideally suited to act as argument tutors guiding students in the formation o...

Argumentation schemes are common types of defeasible argument evaluated with critical questions. This position paper identifies and explores some unsolved problems pertaining to critical questions, such as their argumentative effects, their connection to burden of proof, their connection to the scheme itself, and how they should be represented in argument diagrams. Discussion will use the schem...

Are there good reasons for including mathematical objects such as numbers, sets, and functions as part of our ultimate catalogue of the furniture of the universe? Recent debates within the philosophy of mathematics over this sort of general ontological question have centered on the pros and cons of the so-called Indispensability Argument. The basic idea behind this argument is quite straightfor...

Sohn (1998) presents a good argument that neither statistical significance nor effect size is indicative of the replicability of research results. His objection to the Bayesian argument is also succinct. However, his solution of the `replicability belief' issue is problematic, and his verdict that significance tests have no role to play in empirical research is debatable. The strengths and weak...

Argument extraction is the task of identifying arguments, along with their components in text. Arguments can be usually decomposed into a claim and one or more premises justifying it. The proposed approach tries to identify segments that represent argument elements (claims and premises) on social Web texts (mainly news and blogs) in the Greek language, for a small set of thematic domains, inclu...

According to Mercier and Sperber (2009, 2011, 2017), people have an immediate intuitive feeling about the strength of argument. These evaluations are not captured by current evaluation methods argument strength, yet they could be important predict extent which accept claim supported In exploratory study, therefore, a newly developed method assess was compared explicit (the PAS scale; Zhao et al...