In this talk, I will discuss what is known and conjectured about the number of extremal primes p¿X, and give the first non-trivial upper bound for the number of such primes when E is a curve without complex multiplication.
Blix pointed out that even the US parallel dossier was more cautious on Iraq's alleged chemical and biological weapons than Blair and Straw's version, which we since learned, "exaggerated what intelligence knew – dropped caveats, presented as facts what were uncertain conjectures".
To quote the Prologue again, "while our actual knowledge is incommensurable with the greatest knowledge, something humanly unattainable, the unsure falling away of our weak apprehension from the purity of truth makes our assertions of what is true conjecture".
The great flaw in baby-care books is that whatever the format, they present as fact what is often merely conjecture.
Now it's at about this time that you start looking at the ceiling and saying "What was Poincaré's Conjecture again?" Come on, you remember - if in a closed three-dimensional space, any closed curves can shrink to a point continuously, this space can be deformed to a sphere.
Using genetic sequencing, needle-haystack research, and dogged persistence (crucial to getting spoilage-susceptible samples through the jungle and to the lab), Nathan Wolfe has proven what was science-fiction conjecture only a few decades ago -- not only do viruses jump from animals to humans, but they do so all the time.
The Hodge Conjecture actually uses what are known as complex number coordinates and complex spatial dimensions.
If the Carnegie conjecture is right, what are the implications?
Exact solutions of great theoretical interest include the Gödel universe (which opens up the intriguing possibility of time travel in curved spacetimes), the Taub-NUT solution (a model universe that is homogeneous, but anisotropic), and anti-de Sitter space (which has recently come to prominence in the context of what is called the Maldacena conjecture).
We know very little about transcendental numbers, and, what is worse, the number of conjectures about them isn't growing".
It is useless to conjecture what was the original organisation of the Roman state.
