… We observe that all singularities are uniquely identified by this technique. … other qualitative
representations. To summarise, we have identified singularities as artefacts in qualitative rep…

… At the same time, a qualitative mathematical theory known as catastrophe theory was
proposed by the mathematician Thom [362], founded on a classification of singularities. Thom al…

… singularities, and that in addition the three subcases belonging to a fixed c 7Z 0 are qualitatively
… follows that x as a function of t has a transcendental singularity at t = 0. For the nature of t …

… a singularity… singularity: if it is possible that there will be a singularity, how can we
maximize the chances of a good outcome? Finally, I consider the place of humans in a post‐singularity …

… the forms - would in essence employ the very movement that we have called qualitative
knowledge and which is based on singularities in order to disclose and redeploy the universal?5 …

… authors original singularity theorem, demonstrating the necessity of singularities arising in …
a new perspective, whereby the nature of such singularities can be analysed in relation to the …

… take the possibility of a singularity seriously, and argues that … I first discovered the term “singularity”
on Eliezer Yudkowsky’… that idea to be crucial to the singularity per se; I have been a …

… singularity is as imminent as some of its proponents maintain. David Chalmers’‘The Singularity:
… With regard to the key issue of whether a singularity is possible at all, I think Chalmers is …

… qualitative nature of the fields is fixed if their singularities are known. It is shown that the
singularities are of two types: isolated points (so-called specular points) and line-singularities (so…

… This chapter gives a brief qualitative presentation of some of the most important astrophysical
and mathematical problems in gravitational lensing (Section 2.1). To put these problems in …