91 citations · 92 across the 6 of their papers we have counts for
6 papers
The Mathematics of Questions
R. O'Flanagan
I report the existence of exactly one non-trivial solution to the equation , where $i(A,B)=\log\frac{P(A\text{ and }B)}{P(A)P(B)…
The Constituents of Sets, Numbers, and Other Mathematical Objects, Part Two
Ruadhan O'Flanagan
The arithmetic of natural numbers has a natural and simple encoding within sets, and the simplest set whose structure is not that of any natural number extends this set-theoretic r…
The Constituents of Sets, Numbers, and Other Mathematical Objects, Part One
Ruadhan O'Flanagan
The sets used to construct other mathematical objects are pure sets, which means that all of their elements are sets, which are themselves pure. One set may therefore be within ano…
Judgment
Ruadhan O'Flanagan
The concept of a judgment as a logical action which introduces new information into a deductive system is examined. This leads to a way of mathematically representing implication w…
Optimal Path to Epigenetic Switching
David Marin Roma, Ruadhan A. O'Flanagan, Andrei E. Ruckenstein +2
We use large deviation methods to calculate rates of noise-induced transitions between states in multistable genetic networks. We analyze a synthetic biochemical circuit, the toggl…
Separability, Preferred Bases, and the Nonconservation of Quantities
Ruadhan O'Flanagan
This paper has been withdrawn.