3,649 research outputs found
Sensorimotor theory and the problems of consciousness
The sensorimotor theory is an influential account of perception and phenomenal qualities that builds, in an empirically supported way, on the basic claim that conscious experience is best construed as an attribute of the whole embodied agent's skill-driven interactions with the environment. This paper, in addition to situating the theory as a response to certain well-known problems of consciousness, develops a sensorimotor account of why we are perceptually conscious rather than not
Integral points on elliptic curves and explicit valuations of division polynomials
Assuming Lang's conjectured lower bound on the heights of non-torsion points
on an elliptic curve, we show that there exists an absolute constant C such
that for any elliptic curve E/Q and non-torsion point P in E(Q), there is at
most one integral multiple [n]P such that n > C. The proof is a modification of
a proof of Ingram giving an unconditional but not uniform bound. The new
ingredient is a collection of explicit formulae for the sequence of valuations
of the division polynomials. For P of non-singular reduction, such sequences
are already well described in most cases, but for P of singular reduction, we
are led to define a new class of sequences called elliptic troublemaker
sequences, which measure the failure of the Neron local height to be quadratic.
As a corollary in the spirit of a conjecture of Lang and Hall, we obtain a
uniform upper bound on h(P)/h(E) for integer points having two large integral
multiples.Comment: 41 pages; minor corrections and improvements to expositio
Abstracts of Theses on the Gifted Child Done between 1923 and 1957 at Boston University and Columbia University
Thesis (M.Ed.)--Boston Universit
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Associate Editor. All answers appear in the Answers and Solutions at the end of this issue
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Associate Editor. All answers appear in the Answers and Solutions at the end of this issue
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Associate Editor. All answers appear in the Answers and Solutions at the end of this issue
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Associate Editor. All answers appear in the Answers and Solutions at the end of this issue
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Kickshaws Editor. All answers known to the editor appear in the Answers and Solutions at the end of this issue
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Associate Editor. All answers appear in the Answers and Solutions at the end of this issue
Kickshaws
Readers are encouraged to send their own favorite linguistic kickshaws to the Associate Editor (note new address). All answers appear in the Answers and Solutions at the end of this issue
- …