From Intimacy to Infinity:

Popularizing Mathematics: From Eight to Infinity

It is rare to succeed in getting mathematics into ordinary conversation without meeting all kinds of reservations. In order to raise public awareness of mathematics effectively, it is necessary to modify such attitudes. In this paper, we point to some possible topics for general mathematical conversation. 2000 Mathematics Subject Classification: 00A05, 00A80, 97B20.

Intimacy; views from impairment and neuroscience

Intimacy usually involves the body. Its dependence on and the difficulties in transcending this are explored by discussing some of the problems those with neurological impairment have in this regard. These impairments are considered in relation to intimacy with one’s own body, with others and with the world. Intimacy is also often expressed through touching, and work on the neural basis for the...

Counting to Infinity

Routing protocols have to deal with a known problem: the count-to-infinity. Counting to infinity can occur when a link breaks in the network, and the algorithm in the routing protocol tries to calculate new shortest paths. In this paper I survey the past and present solutions to the this problem.

To Infinity and Beyond

We prove that if a group generated by a bireversible Mealy automaton contains an element of infinite order, its growth blows up and is necessarily exponential. As a direct consequence, no infinite virtually nilpotent group can be generated by a bireversible Mealy automaton. The study on how (semi)groups grow has been highlighted since Milnor’s question on the existence of groups of intermediate...

To infinity, and beyond!